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12th Maths Assignment Answer Key 2021 TM

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12th Maths Assignment Answers TN SCERT

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12th Maths Assignment Answers 2021

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12th Maths Assignment Answers. 12th Standard TN SCERT Assignment Answers, 12th Maths Unit 1 TN SCERT Answer key 2021. 12th Standard All Subject TN SCERT Assignment Unit 1 Answers. TN SCERT Announced  1st to 12th All Subject Assignment Worksheets for Unit 1 . Students Can Note that 12th Mathematics Unit 1 TNSCERT Assignment.  12th Tamil Assignment Answers, 12th Tamil Assignment Answers download PDF. 12th Maths Assignment Answers Unit 1 TNSCER Tamil Medium and English Medium.  

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Grade 12 Past Papers & Memos – 2021

by Editorial Team · Published May 10, 2022 · Updated June 13, 2023

 Are you in need of Grade 12 Past Papers & Memorandums? It can be a challenge to look for the latest question papers and their respective memorandums.  Grade 12 Mathematics Past Papers & Memos – 2021. After a number of requests, Maths101 has decided to not only put up past papers but all respective subjects to assist students.

A list of all subjects and past papers with their respective memorandums for the year 2021. Grade 12 Past Papers & Memos – 2021.  Go ahead and click on the following link(s) below in order to download the required  Grade 12 Past Papers & Memorandums.

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Grade 12 Past Papers & Memos – 2021

Accounting 2021, afrikaans first additional language (fal) – 2021, afrikaans home language – 2021, afrikaans second additional language (sal) – 2021, agricultural management practices – 2021, agricultural technology – 2021, agricultural sciences – 2021, business studies – 2021, civil technology – civil services – 2021, civil technology – construction – 2021, civil technology – woodworking – 2021, computer application technology – 2021, consumer studies – 2021, dance studies – 2021, design – 2021, dramatic arts – 2021, economics – 2021, electrical technology – electronics – 2021, electrical technology – power systems – 2021, engineering graphics & design – 202 1, english first additional language (fal) – 2021, english home language (hl) – 2021, geography – 2021, history – 2021, hospitality studies – 2021, information technology – 2021, isixhosa first additional language (fal) – 2021, isixhosa home language (hl) – 2021, isixhosa second additional language (sal) – 2021, life sciences – 2021, marine sciences 2021, mathematical literacy – 2021, mathematics – 2021, mechanical technology – fitting and machining – 2021, mechanical technology – automotive – 2021, mechanical technology – welding and metalwork – 2021, music – 2021, physical sciences – 2021, religion studies – 2021, sesotho first additional language (fal) – 2021, sesotho home language (hl) – 2021, technical mathematics – 2021, technical sciences – 2021, tourism – 2021, visual arts – 2021.

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Mathematics and Statistics Set 1 2021-2022 HSC Commerce (English Medium) 12th Standard Board Exam Question Paper Solution

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• All   questions   are   compulsory.
• There   are   6   questions   divided   into   two   sections.
• Write   answers   of   Section-I   and   Section-II   in   the   same   answer   book.
• Use   of   logarithmic   tables   is   allowed.   Use   of   calculator   is   not   allowed.
• For   L.P.P.   graph   paper   is   not   necessary.   Only   rough   sketch   of   graph   is   expected.
• Start   answer   to   each   question   on   a   new   page.
• For   each   multiple   choice   type   of   question,   it   is   mandatory   to   write   the   correct an swer   along   with its alphabet e.g. (a) ............/(b)........../e)........../ (d).......... No mark(s) shall   be   given   if   “ONLY" the correct   answer   or   the alphabet   of   the   correct answer s   written. Only   the   first attempt   will   be considered for evaluation .

If A = `[(2, 3),(a, 6)]` is a singular matrix, then a = ______.

`int 1/sqrt(x^2 - 9) dx` = ______.

`1/3 log |x + sqrt(x^2 - 9)| + c`

`log |x + sqrt(x^2 - 9)| + c`

`3log |x + sqrt(x^2 - 9)| + c`

`log |x - sqrt(x^2 - 9)| + c`

The slope of a tangent to the curve y = 3x 2 – x + 1 at (1, 3) is ______.

The order and degree of the differential equation `[1 + ((dy)/(dx))^3]^(2/3) = 8((d^3y)/(dx^3))` are respectively ______.

The area of the region bounded by the curve y = x 2 , x = 0, x = 3, and the X-axis is ______.

`26/3` sq.units

`52/3` sq.units

18 sq.units

`int_(-5)^5  x^7/(x^4 + 10)  dx` = ______.

State whether the following statement is true or false.

If f'(x) > 0 for all x ∈ (a, b) then f(x) is decreasing function in the interval (a, b).

If `int (4e^x - 25)/(2e^x - 5)` dx = Ax – 3 log |2e x – 5| + c, where c is the constant of integration, then A = 5.

The integrating factor of the differential equation `(dy)/(dx) + y/x` = x 3 is – x.

If p ∨ q is true, then the truth value of ∼ p ∧ ∼ q is ______.

`int x/((x + 2)(x + 3)) dx` = ______ + `int 3/(x + 3) dx`

y 2 = (x + c) 3 is the general solution of the differential equation ______.

Write the converse, inverse, and contrapositive of the statement. "If 2 + 5 = 10, then 4 + 10 = 20."

If x = `sqrt(1 + u^2)`, y = `log(1 + u^2)`, then find `(dy)/(dx).`

Find the area between the two curves (parabolas)

y 2 = 7x and x 2 = 7y.

Determine whether the following statement pattern is a tautology, contradiction, or contingency:

[(∼ p ∧ q) ∧ (q ∧ r)] ∧ (∼ q)

If ax 2 + 2hxy + by 2 = 0, then prove that `(d^2y)/(dx^2)` = 0.

Evaluate: `int e^x/sqrt(e^(2x) + 4e^x + 13)` dx

Find x, y, z if `{5[(0, 1),(1, 0),(1, 1)] - [(2, 1),(3, -2),(1, 3)]}[(2),(1)] = [(x  + 1),(y - 1), (3z)]`

Divide 20 into two ports, so that their product is maximum.

Solve the following differential equation

x 2 y dx – (x 3 + y 3 )dy = 0

Find the inverse of the matrix A by using adjoint method.

where A = `[(-3, -1, 1),(0, 0, 1),(-15, 6, -6)]`

Evaluate the following definite integral:

`int_1^3 logx.dx`

Complete the following activity to find MPC, MPS, APC and APS, if the expenditure E c of a person with income I is given as:

E c = (0.0003)I 2 + (0.075)I 2

when I = 1000

In a certain culture of bacteria, the rate of increase is proportional to the number present. If it is found that the number doubles in 4 hours, complete the following activity to find the number of times the bacteria are increased in 12 hours.

The difference between face value and present worth is called ______.

Banker’s discount

True discount

Banker’s gain

b xy . b yx = ______.

`σ_y^2`

Choose the correct alternative :

The assignment problem is said to be balanced if it is a ______.

Square matrix

Rectangular matrix

Unit matrix

Triangular matrix

The price Index Number by Weighted Aggregate Method is given by ______.

`sum("p"_1"w")/("p"_0"w") xx 100`

`sum("p"_0"w")/("p"_1"w") xx 100`

`(sum"p"_1"w")/(sum"p"_0"w") xx 100`

`(sum"p"_0"w")/(sum"p"_1"w") xx 100`

The following function represents the p.d.f of a.r.v. X

f(x) = `{{:((kx;, "for"  0 < x < 2, "then the value of K is ")),((0;,  "otherwise")):}` ______ 

If X ~ B`(20, 1/10)`, then E(X) = ______

State whether the following statement is true or false:

lf X ∼ P(m) with P(X = 1) = P(X = 2) then m = 1.

Dorbish-Bowley's Price Index Number is the square root of the product of Laspeyre's and Paasche's Index Numbers.

To convert a maximization-type assignment problem into a minimization problem, the smallest element in the matrix is deducted from all elements of the matrix.

A wholesaler allows a 25% trade discount and a 5% cash discount. The net price of an article marked at ₹ 1,600 is ______.

For certain bivariate data on 5 pairs of observations given:

∑x = 20, ∑y = 20, ∑x 2 = 90, ∑y 2 = 90, ∑xy = 76 then b xy = ______.

If P 01 (L) = 121, P 01 (P) = 100, then P 01 (F) = ______.

Find the equation of the line of regression of Y on X for the following data:

n = 8, `sum(x_i - barx).(y_i - bary) = 120, barx = 20, bary = 36, sigma_x = 2, sigma_y = 3`

A job production unit has four jobs P, Q, R, and S which can be manufactured on each of the four machines I, II, III, and IV. The processing cost of each job for each machine is given in the following table:

Find the optimal assignment to minimize the total processing cost.

In a cattle breeding firm, it is prescribed that the food ration for one animal must contain 14, 22, and 1 unit of nutrients A, B, and C respectively. Two different kinds of fodder are available. Each unit weight of these two contains the following amounts of these three nutrients:

The cost of fodder 1 is ₹ 3 per unit and that of fodder ₹ 2 per unit. Formulate the L.P.P. to minimize the cost.

Calculate the cost of living index number for the following data by aggregative expenditure method:

Five jobs are performed first on machine M 1 and then on machine M 2 . Time taken in hours by each job on each machine is given below:

Determine the optimal sequence of jobs and total elapsed time. Also, find the idle time for two machines.

The probability distribution of a discrete r.v. X is as follows:

• Determine the value of k.
• Find P(X ≤ 4)
• P(2 < X < 4)
• P(X ≥ 3)

For 50 students of a class, the regression equation of marks in statistics (X) on the marks in accountancy (Y) is 3y − 5x + 180 = 0.  The variance of marks in statistics is `(9/16)^"th"` of the variance of marks in accountancy. Find the correlation coefficient between marks in two subjects.

Solve the following LP.P.

Maximize z = 13x + 9y,

Subject to 3x + 2y ≤ 12,

x + y ≥ 4,

Obtain the trend values for the following data using 5 yearly moving averages:

A warehouse valued at ₹ 40,000 contains goods worth ₹ 2,40,000. The warehouse is insured against fire for ₹ 16,000 and the goods to the extent of 90% of their value. Goods worth ₹ 80,000 are completely destroyed, while the remaining goods are destroyed to 80% of their value due to a fire. The damage to the warehouse is to the extent of ₹ 8,000. Find the total amount that can be claimed under the policy.

A bill was drawn on 14 th April 2005 for ₹ 3,500 and was discounted on 6 th July 2005 at 5% per annum. The banker paid ₹ 3,465 for the bill. Find the period of the bill. 

Solve the following problem :

An examination consists of 5 multiple choice questions, in each of which the candidate has to decide which one of 4 suggested answers is correct. A completely unprepared student guesses each answer completely randomly. Find the probability that,

• the student gets 4 or more correct answers.
• the student gets less than 4 correct answers.

Following table shows the amount of sugar production (in lakh tonnes) for the years 1931 to 1941:

Complete the following activity to fit a trend line by method of least squares:

Other Solutions

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Samacheer Kalvi 12th Maths Guide Book Back Answers Solutions

Subject Matter Experts at SamacheerKalvi.Guide have created Tamilnadu State Board 12th Maths Solutions Book Pdf Free Download New Syllabus of Volume 1 and Volume 2 in English Medium and Tamil Medium are part of Samacheer Kalvi 12th Books Solutions .

Let us look at these TN Board Samacheer Kalvi 12th Std Maths Guide Pdf of Text Book Back Questions and Answers, Notes, Chapter Wise Important Questions, Model Question Papers with Answers, Study Material, Question Bank, Formulas and revise our understanding of the subject.

Students can also read Tamil Nadu 12th Maths Model Question Papers  2020-2021 English & Tamil Medium.

Tamilnadu State Board 12th Maths Solutions Book Pdf Free Download New Syllabus

11th Maths Book Back Answers Solutions Guide

You can download Tamilnadu State Board Class 12th Maths Book Volume 1 Solutions Answers Guide Pdf and 12th Maths Book Volume 2 Answers Solutions Guide Pdf.

12th Maths Book Volume 1 Solutions Answers Guide Pdf

Maths Solutions Book for 12th State Board English Medium Free Download Chapter 1 Applications of Matrices and Determinants

• Chapter 1 Applications of Matrices and Determinants Ex 1.1
• Chapter 1 Applications of Matrices and Determinants Ex 1.2
• Chapter 1 Applications of Matrices and Determinants Ex 1.3
• Chapter 1 Applications of Matrices and Determinants Ex 1.4
• Chapter 1 Applications of Matrices and Determinants Ex 1.5
• Chapter 1 Applications of Matrices and Determinants Ex 1.6
• Chapter 1 Applications of Matrices and Determinants Ex 1.7
• Chapter 1 Applications of Matrices and Determinants Ex 1.8

Tamilnadu State Board 12th Maths Solutions Book Pdf Free Download Chapter 2 Complex Numbers

• Chapter 2 Complex Numbers Ex 2.1
• Chapter 2 Complex Numbers Ex 2.2
• Chapter 2 Complex Numbers Ex 2.3
• Chapter 2 Complex Numbers Ex 2.4
• Chapter 2 Complex Numbers Ex 2.5
• Chapter 2 Complex Numbers Ex 2.6
• Chapter 2 Complex Numbers Ex 2.7
• Chapter 2 Complex Numbers Ex 2.8
• Chapter 2 Complex Numbers Ex 2.9

12th State Board Maths Solutions Book Pdf Download Chapter 3 Theory of Equations

• Chapter 3 Theory of Equations Ex 3.1
• Chapter 3 Theory of Equations Ex 3.2
• Chapter 3 Theory of Equations Ex 3.3
• Chapter 3 Theory of Equations Ex 3.4
• Chapter 3 Theory of Equations Ex 3.5
• Chapter 3 Theory of Equations Ex 3.6
• Chapter 3 Theory of Equations Ex 3.7

12th State Board Maths Solutions Book Pdf English Medium Chapter 4 Inverse Trigonometric Functions

• Chapter 4 Inverse Trigonometric Functions Ex 4.1
• Chapter 4 Inverse Trigonometric Functions Ex 4.2
• Chapter 4 Inverse Trigonometric Functions Ex 4.3
• Chapter 4 Inverse Trigonometric Functions Ex 4.4
• Chapter 4 Inverse Trigonometric Functions Ex 4.5
• Chapter 4 Inverse Trigonometric Functions Ex 4.6

12th Maths Solution Book Tamil Medium Free Download Chapter 5 Two Dimensional Analytical Geometry – II

• Chapter 5 Two Dimensional Analytical Geometry – II Ex 5.1
• Chapter 5 Two Dimensional Analytical Geometry – II Ex 5.2
• Chapter 5 Two Dimensional Analytical Geometry – II Ex 5.3
• Chapter 5 Two Dimensional Analytical Geometry – II Ex 5.4
• Chapter 5 Two Dimensional Analytical Geometry – II Ex 5.5
• Chapter 5 Two Dimensional Analytical Geometry – II Ex 5.6

12th Maths Book Volume 1 Solutions Answers Guide Pdf Chapter 6 Applications of Vector Algebra

• Chapter 6 Applications of Vector Algebra Ex 6.1
• Chapter 6 Applications of Vector Algebra Ex 6.2
• Chapter 6 Applications of Vector Algebra Ex 6.3
• Chapter 6 Applications of Vector Algebra Ex 6.4
• Chapter 6 Applications of Vector Algebra Ex 6.5
• Chapter 6 Applications of Vector Algebra Ex 6.6
• Chapter 6 Applications of Vector Algebra Ex 6.7
• Chapter 6 Applications of Vector Algebra Ex 6.8
• Chapter 6 Applications of Vector Algebra Ex 6.9
• Chapter 6 Applications of Vector Algebra Ex 6.10

12th Maths Book Volume 2 Answers Solutions Guide Pdf

12th Maths Book Volume 2 Answers Solutions Guide Pdf Chapter 7 Applications of Differential Calculus

• Chapter 7 Applications of Differential Calculus Ex 7.1
• Chapter 7 Applications of Differential Calculus Ex 7.2
• Chapter 7 Applications of Differential Calculus Ex 7.3
• Chapter 7 Applications of Differential Calculus Ex 7.4
• Chapter 7 Applications of Differential Calculus Ex 7.5
• Chapter 7 Applications of Differential Calculus Ex 7.6
• Chapter 7 Applications of Differential Calculus Ex 7.7
• Chapter 7 Applications of Differential Calculus Ex 7.8
• Chapter 7 Applications of Differential Calculus Ex 7.9
• Chapter 7 Applications of Differential Calculus Ex 7.10

12th Maths Solution Book English Medium Free Download Chapter 8 Differentials and Partial Derivatives

• Chapter 8 Differentials and Partial Derivatives Ex 8.1
• Chapter 8 Differentials and Partial Derivatives Ex 8.2
• Chapter 8 Differentials and Partial Derivatives Ex 8.3
• Chapter 8 Differentials and Partial Derivatives Ex 8.4
• Chapter 8 Differentials and Partial Derivatives Ex 8.5
• Chapter 8 Differentials and Partial Derivatives Ex 8.6
• Chapter 8 Differentials and Partial Derivatives Ex 8.7
• Chapter 8 Differentials and Partial Derivatives Ex 8.8

12th Maths Solution Book Tamil Medium Pdf Chapter 9 Applications of Integration

• Chapter 9 Applications of Integration Ex 9.1
• Chapter 9 Applications of Integration Ex 9.2
• Chapter 9 Applications of Integration Ex 9.3
• Chapter 9 Applications of Integration Ex 9.4
• Chapter 9 Applications of Integration Ex 9.5
• Chapter 9 Applications of Integration Ex 9.6
• Chapter 9 Applications of Integration Ex 9.7
• Chapter 9 Applications of Integration Ex 9.8
• Chapter 9 Applications of Integration Ex 9.9
• Chapter 9 Applications of Integration Ex 9.10

Samacheer Kalvi 12th Maths Important Questions Chapter 10 Ordinary Differential Equations

• Chapter 10 Ordinary Differential Equations Ex 10.1
• Chapter 10 Ordinary Differential Equations Ex 10.2
• Chapter 10 Ordinary Differential Equations Ex 10.3
• Chapter 10 Ordinary Differential Equations Ex 10.4
• Chapter 10 Ordinary Differential Equations Ex 10.5
• Chapter 10 Ordinary Differential Equations Ex 10.6
• Chapter 10 Ordinary Differential Equations Ex 10.7
• Chapter 10 Ordinary Differential Equations Ex 10.8
• Chapter 10 Ordinary Differential Equations Ex 10.9

Tamilnadu Samacheer Kalvi 12th Std Maths Guide Chapter 11 Probability Distributions

• Chapter 11 Probability Distributions Ex 11.1
• Chapter 11 Probability Distributions Ex 11.2
• Chapter 11 Probability Distributions Ex 11.3
• Chapter 11 Probability Distributions Ex 11.4
• Chapter 11 Probability Distributions Ex 11.5
• Chapter 11 Probability Distributions Ex 11.6

Samacheer Kalvi 12th Maths Book Solutions English Medium Chapter 12 Discrete Mathematics

• Chapter 12 Discrete Mathematics Ex 12.1
• Chapter 12 Discrete Mathematics Ex 12.2
• Chapter 12 Discrete Mathematics Ex 12.3

12th Maths Guide Pdf Free Download 2021 Tamil Medium

You can download the 12th Maths Solution Book Pdf Download Tamil Medium 2021, 12th Maths Guide Pdf Free Download 2020 Tamil Medium.

12th Maths Guide Pdf Free Download 2021 Chapter 1 அணிகள் மற்றும் அணிக்கோவைகளின் பயன்பாடுகள்

• Chapter 1 அணிகள் மற்றும் அணிக்கோவைகளின் பயன்பாடுகள் Ex 1.1
• Chapter 1 அணிகள் மற்றும் அணிக்கோவைகளின் பயன்பாடுகள் Ex 1.2
• Chapter 1 அணிகள் மற்றும் அணிக்கோவைகளின் பயன்பாடுகள் Ex 1.3
• Chapter 1 அணிகள் மற்றும் அணிக்கோவைகளின் பயன்பாடுகள் Ex 1.4
• Chapter 1 அணிகள் மற்றும் அணிக்கோவைகளின் பயன்பாடுகள் Ex 1.5
• Chapter 1 அணிகள் மற்றும் அணிக்கோவைகளின் பயன்பாடுகள் Ex 1.6
• Chapter 1 அணிகள் மற்றும் அணிக்கோவைகளின் பயன்பாடுகள் Ex 1.7
• Chapter 1 அணிகள் மற்றும் அணிக்கோவைகளின் பயன்பாடுகள் Ex 1.8

12th Maths Solution Book Pdf Download Chapter 2 கலப்பு எண்கள்

• Chapter 2 கலப்பு எண்கள் Ex 2.1
• Chapter 2 கலப்பு எண்கள் Ex 2.2
• Chapter 2 கலப்பு எண்கள் Ex 2.3
• Chapter 2 கலப்பு எண்கள் Ex 2.4
• Chapter 2 கலப்பு எண்கள் Ex 2.5
• Chapter 2 கலப்பு எண்கள் Ex 2.6
• Chapter 2 கலப்பு எண்கள் Ex 2.7
• Chapter 2 கலப்பு எண்கள் Ex 2.8
• Chapter 2 கலப்பு எண்கள் Ex 2.9

12th Maths Book Back Answers Chapter 3 சமன்பாட்டியல்

• Chapter 3 சமன்பாட்டியல் Ex 3.1
• Chapter 3 சமன்பாட்டியல் Ex 3.2
• Chapter 3 சமன்பாட்டியல் Ex 3.3
• Chapter 3 சமன்பாட்டியல் Ex 3.4
• Chapter 3 சமன்பாட்டியல் Ex 3.5
• Chapter 3 சமன்பாட்டியல் Ex 3.6
• Chapter 3 சமன்பாட்டியல் Ex 3.7

Samacheer Kalvi 12th Maths Guide Chapter 4 நேர்மாறு முக்கோணவியல் சார்புகள்

• Chapter 4 நேர்மாறு முக்கோணவியல் சார்புகள் Ex 4.1
• Chapter 4 நேர்மாறு முக்கோணவியல் சார்புகள் Ex 4.2
• Chapter 4 நேர்மாறு முக்கோணவியல் சார்புகள் Ex 4.3
• Chapter 4 நேர்மாறு முக்கோணவியல் சார்புகள் Ex 4.4
• Chapter 4 நேர்மாறு முக்கோணவியல் சார்புகள் Ex 4.5
• Chapter 4 நேர்மாறு முக்கோணவியல் சார்புகள் Ex 4.6

Maths Guide for Class 12 Chapter 5 இரு பரிமாண பகுமுறை வடிவியல் – II

• Chapter 5 இரு பரிமாண பகுமுறை வடிவியல் – II Ex 5.1
• Chapter 5 இரு பரிமாண பகுமுறை வடிவியல் – II Ex 5.2
• Chapter 5 இரு பரிமாண பகுமுறை வடிவியல் – II Ex 5.3
• Chapter 5 இரு பரிமாண பகுமுறை வடிவியல் – II Ex 5.4
• Chapter 5 இரு பரிமாண பகுமுறை வடிவியல் – II Ex 5.5
• Chapter 5 இரு பரிமாண பகுமுறை வடிவியல் – II Ex 5.6

12th Maths Samacheer Solutions Chapter 6 வெக்டர் இயற்கணிதத்தின் பயன்பாடுகள்

• Chapter 6 வெக்டர் இயற்கணிதத்தின் பயன்பாடுகள் Ex 6.1
• Chapter 6 வெக்டர் இயற்கணிதத்தின் பயன்பாடுகள் Ex 6.2
• Chapter 6 வெக்டர் இயற்கணிதத்தின் பயன்பாடுகள் Ex 6.3
• Chapter 6 வெக்டர் இயற்கணிதத்தின் பயன்பாடுகள் Ex 6.4
• Chapter 6 வெக்டர் இயற்கணிதத்தின் பயன்பாடுகள் Ex 6.5
• Chapter 6 வெக்டர் இயற்கணிதத்தின் பயன்பாடுகள் Ex 6.6
• Chapter 6 வெக்டர் இயற்கணிதத்தின் பயன்பாடுகள் Ex 6.7
• Chapter 6 வெக்டர் இயற்கணிதத்தின் பயன்பாடுகள் Ex 6.8
• Chapter 6 வெக்டர் இயற்கணிதத்தின் பயன்பாடுகள் Ex 6.9
• Chapter 6 வெக்டர் இயற்கணிதத்தின் பயன்பாடுகள் Ex 6.10

TN 12th Maths Solutions Chapter 7 வகை நுண்கணிதத்தின் பயன்பாடுகள்

• Chapter 7 வகை நுண்கணிதத்தின் பயன்பாடுகள் Ex 7.1
• Chapter 7 வகை நுண்கணிதத்தின் பயன்பாடுகள் Ex 7.2
• Chapter 7 வகை நுண்கணிதத்தின் பயன்பாடுகள் Ex 7.3
• Chapter 7 வகை நுண்கணிதத்தின் பயன்பாடுகள் Ex 7.4
• Chapter 7 வகை நுண்கணிதத்தின் பயன்பாடுகள் Ex 7.5
• Chapter 7 வகை நுண்கணிதத்தின் பயன்பாடுகள் Ex 7.6
• Chapter 7 வகை நுண்கணிதத்தின் பயன்பாடுகள் Ex 7.7
• Chapter 7 வகை நுண்கணிதத்தின் பயன்பாடுகள் Ex 7.8
• Chapter 7 வகை நுண்கணிதத்தின் பயன்பாடுகள் Ex 7.9
• Chapter 7 வகை நுண்கணிதத்தின் பயன்பாடுகள் Ex 7.10

12th Samacheer Maths Solutions Chapter 8 வகையீடுகள் மற்றும் பகுதி வகைக்கெழுக்கள்

• Chapter 8 வகையீடுகள் மற்றும் பகுதி வகைக்கெழுக்கள் Ex 8.1
• Chapter 8 வகையீடுகள் மற்றும் பகுதி வகைக்கெழுக்கள் Ex 8.2
• Chapter 8 வகையீடுகள் மற்றும் பகுதி வகைக்கெழுக்கள் Ex 8.3
• Chapter 8 வகையீடுகள் மற்றும் பகுதி வகைக்கெழுக்கள் Ex 8.4
• Chapter 8 வகையீடுகள் மற்றும் பகுதி வகைக்கெழுக்கள் Ex 8.5
• Chapter 8 வகையீடுகள் மற்றும் பகுதி வகைக்கெழுக்கள் Ex 8.6
• Chapter 8 வகையீடுகள் மற்றும் பகுதி வகைக்கெழுக்கள் Ex 8.7
• Chapter 8 வகையீடுகள் மற்றும் பகுதி வகைக்கெழுக்கள் Ex 8.8

12th Std Maths Guide Chapter 9 தொகை நுண்கணிதத்தின் பயன்பாடுகள்

• Chapter 9 தொகை நுண்கணிதத்தின் பயன்பாடுகள் Ex 9.1
• Chapter 9 தொகை நுண்கணிதத்தின் பயன்பாடுகள் Ex 9.2
• Chapter 9 தொகை நுண்கணிதத்தின் பயன்பாடுகள் Ex 9.3
• Chapter 9 தொகை நுண்கணிதத்தின் பயன்பாடுகள் Ex 9.4
• Chapter 9 தொகை நுண்கணிதத்தின் பயன்பாடுகள் Ex 9.5
• Chapter 9 தொகை நுண்கணிதத்தின் பயன்பாடுகள் Ex 9.6
• Chapter 9 தொகை நுண்கணிதத்தின் பயன்பாடுகள் Ex 9.7
• Chapter 9 தொகை நுண்கணிதத்தின் பயன்பாடுகள் Ex 9.8
• Chapter 9 தொகை நுண்கணிதத்தின் பயன்பாடுகள் Ex 9.9
• Chapter 9 தொகை நுண்கணிதத்தின் பயன்பாடுகள் Ex 9.10

Samacheer Kalvi Guru 12th Maths Chapter 10 சாதாரண வகைக்கெழுச் சமன்பாடுகள்

• Chapter 10 சாதாரண வகைக்கெழுச் சமன்பாடுகள் Ex 10.1
• Chapter 10 சாதாரண வகைக்கெழுச் சமன்பாடுகள் Ex 10.2
• Chapter 10 சாதாரண வகைக்கெழுச் சமன்பாடுகள் Ex 10.3
• Chapter 10 சாதாரண வகைக்கெழுச் சமன்பாடுகள் Ex 10.4
• Chapter 10 சாதாரண வகைக்கெழுச் சமன்பாடுகள் Ex 10.5
• Chapter 10 சாதாரண வகைக்கெழுச் சமன்பாடுகள் Ex 10.6
• Chapter 10 சாதாரண வகைக்கெழுச் சமன்பாடுகள் Ex 10.7
• Chapter 10 சாதாரண வகைக்கெழுச் சமன்பாடுகள் Ex 10.8
• Chapter 10 சாதாரண வகைக்கெழுச் சமன்பாடுகள் Ex 10.9

TN Class 12 Maths Solutions Chapter 11 நிகழ்தகவு பரவல்கள்

• Chapter 11 நிகழ்தகவு பரவல்கள் Ex 11.1
• Chapter 11 நிகழ்தகவு பரவல்கள் Ex 11.2
• Chapter 11 நிகழ்தகவு பரவல்கள் Ex 11.3
• Chapter 11 நிகழ்தகவு பரவல்கள் Ex 11.4
• Chapter 11 நிகழ்தகவு பரவல்கள் Ex 11.5
• Chapter 11 நிகழ்தகவு பரவல்கள் Ex 11.6

Samacheer 12th Maths Solutions Chapter 12 தனிநிலைக் கணிதம்

• Chapter 12 தனிநிலைக் கணிதம் Ex 12.1
• Chapter 12 தனிநிலைக் கணிதம் Ex 12.2
• Chapter 12 தனிநிலைக் கணிதம் Ex 12.3

We hope these Tamilnadu State Board Class 12th Maths Solutions Book Volume 1 and Volume 2 Pdf Free Download New Syllabus in English Medium and Tamil Medium will help you get through your subjective questions in the exam.

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Mathematics Grade 12 (Maths) Assignments 2021

Mathematics Grade 12 Assignments 2021: Assessment is a continuous, planned process using various forms of tasks in order to identify, gather and interpret information about the performance of learners. It involves four steps: generating and collecting evidence of achievement, evaluating this evidence, recording the findings and using this information to understand and assist in the learner’s development in order to improve the process of learning and teaching. Assessment should be both informal (assessment for learning) and formal (assessment of learning). In both cases regular feedback should be provided to learners to enhance the learning experience.

Assignment Assessment types for Mathematics Grade 12

Although assessment guidelines are included in the annual teaching plan at the end of each term, the following general principles apply:

Tests and examinations are usually time-limited and assessed using a marking memorandum. Assignments are generally extended pieces of work in which time constraints have been relaxed and which may be completed at home. Assignments may be used to consolidate or deepen understanding of work done earlier. They may thus consist of a collection of past examination questions or innovative activities using any resource material. It is, however, advised that assignments be focused.

Projects are more extended tasks that may serve to deepen understanding of curricular mathematics topics. They may also involve extracurricular mathematical topics where the learner is expected to select appropriate mathematical content to solve context-based or real-life problems. The focus should be on the mathematical concepts and not on duplicated pictures and regurgitation of facts from reference material.

View all # Mathematics- Grade 12 Study Resources

We have compiled great resources for Mathematics Grade 12 students in one place. Find all Question Papers, Notes, Previous Tests, Annual Teaching Plans, and CAPS Documents.

Investigations are set to develop the mathematical concepts or skills of systematic investigation into special cases with a view to observing general trends, making conjectures and proving them.

It is recommended that while the initial investigation can be done at home, the final write-up be done in the classroom, under supervision and without access to any notes. Investigations are marked using a rubric which can be specific to the task, or generic, listing the number of marks awarded to each skill as outlined below:

• 40% for communicating individual ideas and discoveries, assuming the reader has not come across the task before. The appropriate use of diagrams and tables will enhance the assignment, investigation or project.
• 35% for generalising, making conjectures and proving or disproving these conjectures;
• 20% for the effective consideration of special cases; and
• 5% for presentation, that is, neatness and visual impact.

Assignments topics and memo for 2021

Download Grade 12 Assignments and Memos for 2021 below:

More Mathematics Grade 12 Past Papers

All grade 12 mathematics exam papers for 2022.

• Mathematics Grade 12 Term 1 March 2022 Common Test Question Papers and Memorandums

All Grade 12 Mathematics Exam Papers for 2021

May – june 2021.

• Mathematics Grade 12 May -June 2021 NSC DBE Exam papers and Memos

September 2021

• Mathematics Grade 12 Trials Exams: September 2021 Past Papers and Memos
• Mathematics Grade 12 2021 Provincial Question Papers and Memos

November 2021

• Mathematics Grade 12 2021 November Exam Question Papers and Memorandum

All Grade 12 Mathematics Exam Papers for 2020

• Mathematics Grade 12 March 2020 Exam Papers and Memo
• Mathematics June 2020 Past Exam Papers and Memos

September 2020

• Grade 12 Mathematics Question Papers and Memos 2020 September

November 2020

• Mathematics Grade 12 November 2020 Question Papers and Memos

More Grade 12 Mathematics Exam Papers for 2020

• June paper and memo pdf
• March paper and memo pdf
• September Paper 1 pdf
• September paper 2 pdf
• November Paper 1 pdf
• November Paper 2 pdf

All Grade 12 Mathematics Exam Papers for 2019

• Mathematics Grade 12 May – June Mid Year Exam Question Papers for 2019 with Memorandum

November 2019

• Grade 12 Mathematics Paper 1 and 2 November 2019 Memorandum pdf

All Grade 12 Mathematics Exam Papers for 2018

• Mathematics Grade 12 May – June Mid Year Exam Question Papers for 2018 with Memorandum

November 2018

• Mathematics Grade 12 November question papers and memos download

About Mathematics Grade 12

About Grade 12 Mathematics: Mathematics is a language that makes use of symbols and notations for describing numerical, geometric and graphical relationships. It is a human activity that involves observing, representing and investigating patterns and qualitative relationships in physical and social phenomena and between mathematical objects themselves. It helps to developmental processes that enhance logical and critical thinking, accuracy and problem solving that will contribute in decision-making. Mathematical problem solving enables us to understand the world (physical, social and economic) around us, and, most of all, to teach us to think creatively.

Topics covered in Mathematics Grade 12

Below are the topics covered in Mathematics Grade 12:

• Patterns, Sequences and Series
• Functions and Interverse Functions
• Exponential and Logarithmic Functions
• Finance, Growth and Decay
• Trigonometry: Compound and Double Angle Identities
• Trigonometry: Problem Solving in Two and Three Dimentions
• Polynomials
• Differential Calculus
• Analytical Geometry
• Euclidean Geometry
• Counting Principles and Probability

Hey, Grade 12 Learners. My Courses portal has everything you needed to ace your matric exams, tests, assessments, research tasks, and assignments. Feel free to explore all resources for grade 12 learners, such as Study Guides, Department of Basic Education Past Exam Papers with Memos , and Speech Topics.

Have you made your career choice yet?

Now that you have made it all the way from your 1st grade to the final (Grade 12) grade, have you made up your mind about what career you want to pursue after matric? Have a look at the below questions and click on the links for more information:

Do you know:

• If you want to study at a University or College ?
• What career or course/qualification do you plan to pursue after school ?
• What subjects you will need to study for this career?
• Which country do you want to study at, Canada maybe?
• How will you pay for your studies?

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TN 12th std Assignment PDF , Question,Answer Key 2021

Tn  12th  std assignment pdf , question,answer key 2021.

Tamilnadu state board samacheer kalvi 12th std all subjects assignment writing work sheet and answer guide PDF Download

TNSCERT 12th Assignment PDF Download with answer  Tamil medium , English medium

12th assignment tamil medium question paper ,answer key.

• Tamil – – Unit -1 -Tamil Medium   Assignment
• Accountancy – Unit -1 -Tamil Medium   Assignment
• Advance Tamil – Unit -1 -Tamil Medium  Assignment
• Agricultural Science – Unit -1 -Tamil Medium  Assignment
• Auditing Practical - Unit 1 _ Tamil Medium Assignment
• Basic Automobile Engg– Unit -1 -Tamil Medium Assignment
• Basic Civil Engg- – Unit -1 -Tamil Medium Assignment
• Basic Electrical Engg – Unit -1 -Tamil Medium Assignment
• Basic Electronics Engineering – Unit -1 -Tamil Medium Assignment
• Basic Mechanical Engg – Unit -1 -Tamil Medium Assignment
• Bio botany– Unit -1 -Tamil Medium Assignment
• Bio Chemistry – Unit -1 -Tamil Medium Assignment
• Bio- zoology – Unit -1 -Tamil Medium Assignment
• Botany– Unit -1 -Tamil Medium Assignment
• Business Mathematics– Unit -1 -Tamil Medium Assignment
• Chemistry – Unit -1 -Tamil Medium Assignment
• Commerce – Unit -1 -Tamil Medium Assignment
• Computer Applicatioin – Unit -1 -Tamil Medium Assignment
• Computer Science– Unit -1 -Tamil Medium Assignment
• Computer Technology – Unit -1 -Tamil Medium Assignment
• Economics– Unit -1 -Tamil Medium Assignment
• Ethics and Indian Culture– Unit -1 -Tamil Medium Assignment
• Geography – Unit -1 -Tamil Medium Assignment
• History – Unit -1 -Tamil Medium Assignment
• Home Science – Unit -1 -Tamil Medium Assignment
• Mathematics – Unit -1 -Tamil Medium Assignment
• Microbiology– Unit -1 -Tamil Medium Assignment
• Nursing General – Unit -1 -Tamil Medium Assignment
• Nursing Vocationa – Unit -1 -Tamil Medium Assignment
• Nutrition and Dietetics – Unit -1 -Tamil Medium Assignment
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• Physics– Unit -1 -Tamil Medium  Assignment
• Political Science – Unit -1 -Tamil Medium Assignment
• Statistics– Unit -1 -Tamil Medium Assignment
• Textile and dress designing – Unit -1 -Tamil Medium Assignment
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• நெசவியல் தொழிற்நுட்பம்– Unit -1 -Tamil Medium Assignment

12th Assignment English Medium PDF Download, Question paper ,answer key

• Accountancy – Unit 1 Assignment English Medium
• Basic Automobile Engg – Unit 1   Assignment English Medium
• Basic Civil Engg- – Unit 1   Assignment English Medium
• Basic Electrical Engineering – Unit 1   Assignment English Medium
• Basic Electronics Engg – – Unit 1   Assignment English Medium
• Basic Mechanical Engg – Unit 1   Assignment English Medium
• Bio Botany – – Unit 1   Assignment English Medium
• Bio -Chemistry – Unit 1   Assignment English Medium
• Bio Zoology- EM- – Unit 1   Assignment English Medium
• Botany- EM- – Unit 1   Assignment English Medium
• Business Mathematics – Unit 1   Assignment English Medium
• Chemistry – Unit 1   Assignment English Medium
• Commerce – – Unit 1   Assignment English Medium
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• Economics – Unit 1   Assignment English Medium
• English – Unit 1   Assignment
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• Geography – Unit 1   Assignment English Medium
• History– Unit 1   Assignment English Medium
• Home Science – Unit 1   Assignment English Medium
• Maths Assign – Unit 1   Assignment English Medium
• Microbiology– Unit 1   Assignment English Medium
• Nursing General – Unit 1   Assignment English Medium
• Nursing Vocational – Unit 1   Assignment English Medium
• NUTRITION – Unit 1   Assignment English Medium
• Office Management-– Unit 1   Assignment English Medium
• physics – Unit 1   Assignment English Medium
• Political Science – Unit 1   Assignment English Medium
• Zoology – – Unit 1   Assignment English Medium
• Statics - Unit 1 -  Assignment English Medium

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கல்விகவி வலைப்பூ நண்பர்களே.. வாசகர்களின் கருத்து சுதந்திரத்தை வரவேற்கும் இந்தப்பகுதியை ஆரோக்கியமாக பயன்படுத்திக் கொள்ள அன்புடன் வேண்டுகிறோம். உங்கள் கருத்தையும் ,study Mateials தேவையை சுதந்திரமாக பகிரலாம். நண்பர்களுக்கு Share செய்யலாம். குறிப்பு: 1. இங்கு பதிவாகும் கருத்துக்கள் வாசகர்களின் சொந்த கருத்துக்களே. kalvikavi வலைப்பக்கங்கள்பூ இதற்கு எவ்வகையிலும் பொறுப்பல்ல. 2. கருத்தை நிராகரிக்கவோ, குறைக்கவோ, தணிக்கை செய்யவோ கல்விகவி குழுவுக்கு முழு உரிமை உண்டு. 3. தனிமனித தாக்குதல்கள், நாகரிகமற்ற வார்த்தைகள், படைப்புக்கு பொருத்தமில்லாத கருத்துகள் நீக்கப்படும். 4. தங்களின் பெயர் மற்றும் சரியான மின்னஞ்சல் முகவரியை பயன்படுத்தி கருத்தை பதிவிட அன்புடன் வேண்டுகிறோம். -அன்புடன் KALVIAVI வலைப்பூ ( Join our telegram & WhatsApp Get instant Study Materials & கல்விச்செய்திகள் )

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NCERT Solutions For Class 12 Maths

Ncert solutions for class 12 maths – free 2023-24 cbse pdf download.

NCERT Solutions for Class 12 Maths provides a solid conceptual base for all the topics included in the CBSE Class 12 Maths Syllabus. It covers all the important theorems and formulae with detailed explanations to ensure better conceptual understanding in students. NCERT Solutions for Class 12 Maths will help students in preparation for undergraduate-level Engineering entrance exams like JEE Mains, BITSAT, VITEEE, etc., to be conducted for the year 2023-2024.

BYJU’S brings you NCERT Solutions for Class 12 Maths, designed by our subject experts to facilitate a smooth and precise understanding of concepts. These Class 12 Solutions of NCERT have detailed step-by-step explanations of problems given in the textbooks. Apart from solutions for each chapter of CBSE Class 12 Maths, BYJU’S also provides Class 12 Maths notes, solved exemplar problems, and previous year question papers, along with worksheets as study materials for students who are preparing for their Class 12 board exams.

NCERT Solutions for Class 12 Maths Chapter-Wise PDF

Chapter 1 relations and functions, chapter 2 inverse trigonometric functions, chapter 3 matrices.

• Chapter 4 Determinants

Chapter 5 Continuity and Differentiability

Chapter 6 applications of derivatives, chapter 7 integrals, chapter 8 applications of integrals, chapter 9 differential equations, chapter 10 vector algebra.

• Chapter 11 Three dimensional Geometry

Chapter 12 Linear Programming

Chapter 13 probability, class 12 maths ncert solutions exercises.

Students can download NCERT Solution of Maths of Class 12 , chapter-wise from the links given below.

Chapter 1 of NCERT textbook deals with relations and functions , types of relation, types of functions, the composition of functions and invertible function, binary operations and miscellaneous examples. Here, you can find the exercise solution links for the topics covered in this chapter.

Topics Covered in Class 12 Maths Chapter 1 Relations and Functions: Types of relations: Reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, inverse of a function. Binary operations.

Also, access the following resources for Class 12 Chapter 1 Relations and Functions at BYJU’S:

• Relations And Functions Class 12 Maths Notes Chapter 1
• Important Questions For Class 12 Maths Chapter 1 – Relations and Functions
• Maths Revision Notes for Class 12 Chapter 1 Relations and Functions
• NCERT Exemplar Solutions for Class 12 Maths Chapter 1 Relations and Functions

Chapter 2, Inverse Trigonometric Functions of NCERT Class 12 Maths, gives an account of various topics such as the remarks based on basic concepts of inverse trigonometric functions, properties of inverse trigonometric functions and miscellaneous examples. These concepts are explained very well through examples. Solutions to the exercises from the chapter can be accessed from here.

Topics Covered in Class 12 Maths Chapter 2 Inverse Trigonometric Functions: Definition, range, domain, principal value branches. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions.

Also access the following resources for Class 12 Chapter 2 Inverse Trigonometric Functions at BYJU’S:

• Inverse Trigonometric Functions Class 12 Notes – Chapter 2
• Important Questions for Class 12 Maths Chapter 2 – Inverse Trigonometric Functions
• Maths Revision Notes for Class 12 Chapter 2 Inverse Trigonometric Functions
• NCERT Exemplar Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions

In Chapter 3 of NCERT textbook, we shall see the definition of a matrix, types of matrices, equality of matrices, operations on matrices such as the addition of matrices and multiplication of a matrix by a scalar, properties of matrix addition, properties of scalar multiplication, multiplication of matrices, properties of multiplication of matrices, transpose of a matrix, properties of the transpose of the matrix, symmetric and skew-symmetric matrices, elementary operation or transformation of a matrix, the inverse of a matrix by elementary operations and miscellaneous examples. Here, you can find the exercise solution links for the topics covered in this chapter.

Topics Covered in Class 12 Maths Chapter 3 Matrices: Concept, notation, order, equality, types of matrices, zero matrix, transpose of a matrix, symmetric and skew symmetric matrices. Addition, multiplication and scalar multiplication of matrices, simple properties of addition, multiplication and scalar multiplication. Noncommutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).

Also access the following resources for Class 12 Chapter 3 Matrices at BYJU’S:

• CBSE Class 12 Maths Notes Chapter 3 Matrices
• Important Questions for Class 12 Maths Chapter 3 – Matrices
• Maths Revision Notes for Class 12 Chapter 3 Matrices
• NCERT Exemplar Solutions for Class 12 Maths Chapter 3 Matrices

Chapter 4 Determinants –

Chapter 4 of 12 Class NCERT Maths Solution discusses the topic of determinants. Students will get to learn about the definition and meaning of determinants, remarks based on order of determinants, properties of determinants, finding area of triangle using determinants, minors and cofactors of determinants, adjoint of a matrix, inverse of matrix , applications of determinants and matrices, and miscellaneous examples. Below, we have links provided to each exercise solution covered in this chapter.

Topics Covered in Class 12 Maths Chapter 4 Determinants: Determinant of a square matrix (up to 3 × 3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.

Also access the following resources for Class 12 Chapter 4 Determinants at BYJU’S:

• Determinants Class 12 Notes – Chapter 4
• Important Question for Class 12 Maths Chapter 4 – Determinants
• Maths Revision Notes for Class 12 Chapter 4 Determinants
• NCERT Exemplar Solutions for Class 12 Maths Chapter 4 Determinants

Chapter 5 of NCERT textbook starts with the definition of continuity. Students go on to learn about continuity, algebra of continuous function, definition and meaning of differentiability, derivatives of composite functions, derivative of implicit functions, derivative of inverse trigonometric functions, exponential and logarithmic functions, logarithmic differentiation, derivatives of functions in parametric forms, second order derivatives , mean value theorem via miscellaneous examples. Here, students can find the exercises explaining these concepts properly with solutions.

Topics Covered in Class 12 Maths Chapter 5 Continuity and Differentiability: Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit function. Concept of exponential and logarithmic functions and their derivatives. Logarithmic differentiation. Derivative of functions expressed in parametric forms. Second order derivatives. Rolle’s and Lagrange’s Mean Value Theorems (without proof) and their geometric interpretations.

Also access the following resources for Class 12 Chapter 5 Continuity and Differentiability at BYJU’S:

• Continuity And Differentiability Class 12 Notes Chapter 5
• Important Questions for Class 12 Maths Chapter 5 – Continuity and Differentiability
• Maths Revision Notes for Class 12 Chapter 5 Continuity and Differentiability
• NCERT Exemplar Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability

Chapter 6 of NCERT textbook provides definition of derivatives, rate of change of quantities, increasing and decreasing functions, tangents and normals, approximations, maxima and minima , first derivative test, maximum and minimum values of a function in a closed interval, and miscellaneous examples. Here, students can find the exercises explaining these concepts properly.

Topics Covered in Class 12 Maths Chapter 6 Applications of Derivatives: Applications of derivatives: Rate of change, increasing/decreasing functions, tangents and normals, approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).

Also access the following resources for Class 12 Chapter 6 Applications of Derivatives at BYJU’S:

• Application of Derivatives Class 12 Notes Chapter 6
• Important Questions for Class 12 Maths Chapter 6 – Applications of Derivatives
• Maths Revision Notes for Class 12 Chapter 6 Application of Derivatives
• NCERT Exemplar Solutions for Class 12 Maths Chapter 6 Application of Derivatives

In Chapter 7, Integrals, we shall see the definition of indefinite integral, integration as an inverse process of differentiation, geometrical interpretation of indefinite integral, properties of indefinite integral, comparison between differentiation and integration, methods of integration such as integration by substitution, integration using partial fractions, integration by parts , integration using trigonometric identities, integration of some integral functions, definition and meaning of definite integrals, definite integral as the limit of a sum, fundamental theorem of calculus, evaluation of definite integrals by substitution, some properties of definite integrals and miscellaneous examples. Here, we have given exercises with solutions based on these topics from the chapter.

Topics Covered in Class 12 Maths Chapter 7 Integrals: Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, only simple integrals of the type

Also access the following resources for Class 12 Chapter 7 Integrals at BYJU’S:

• Integrals Class 12 Notes Chapter 7
• Important Questions for Class 12 Maths Chapter 7 – Integrals
• Maths Revision Notes for Class 12 Chapter 7 Integrals
• NCERT Exemplar Solutions for Class 12 Maths Chapter 7 Integrals

In Chapter 8 of NCERT textbook, we continue the discussions about integrals starting with definition, area under simple curves, area of the region bounded by a curve and a line , area between two curves and miscellaneous examples. From the below-given links, students can access the exercises with solutions explaining the concepts from this chapter.

Topics Covered in Class 12 Maths Chapter 8 Applications of Integrals: Applications in finding the area under simple curves, especially lines, arcs of circles/parabolas/ ellipses (in standard form only), area between the two above-said curves (the region should be clearly identifiable).

Also, access the following resources for Class 12 Chapter 8 Applications of Integrals at BYJU’S:

• Application of Integrals Class 12 Notes Chapter 8
• Important Questions Class 12 Maths Chapter 8-Applications of Integrals
• Maths Revision Notes for Class 12 Chapter 8 Application of Integrals
• NCERT Exemplar Solutions for Class 12 Maths Chapter 8 Application of Integrals

In this chapter, students concentrate on the definition of differential equations, basic concepts related to differential equations, degree of a differential equation , order of a differential equation, general and particular solutions of a differential equation, formation of a differential equation whose general solution is given, procedure to form a differential equation that will represent a given family of curves, methods of solving first order, first degree differential equations, differential equations with variable separable, homogeneous differential equations, linear differential equations, procedure involved to solve first order linear differential equations, and miscellaneous examples. Solutions to the exercises from the chapter can be accessed from here.

Topics Covered in Class 12 Maths Chapter 9 Differential Equations: Definition, order and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given. Solution of differential equations by method of separation of variables, homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type: dy/dx + Py = Q, where P and Q are functions of x 

Also access the following resources for Class 12 Chapter 9 Differential Equations at BYJU’S:

• Differential Equation Class 12 Notes Chapter 9
• Important Questions Class 12 Maths Chapter 9 – Differential Equations
• Maths Revision Notes for Class 12 Chapter 9 Differential Equations
• NCERT Exemplar Solutions for Class 12 Maths Chapter 9 Differential Equations

In this chapter, students are introduced to vector algebra. The concepts in this chapter include how to find position vector, some basic concepts related to vector algebra, direction cosines, types of vectors such as zero vector, unit vector, collinear vector, equal vector, negative of a vector, addition of vectors, properties of vector addition, multiplication of a vector by a scalar, components of a vector, vector joining two points, section formula, product of two vectors, scalar or dot product of two vectors, properties of scalar product, projection of a vector on a line, vector or cross product of two vectors and miscellaneous examples. From the below-given links, students can access the exercises with solutions explaining the concepts from this chapter.

Topics Covered in Class 12 Maths Chapter 10 Vector Algebra: Vectors and scalars, magnitude and direction of a vector. Direction cosines/ratios of vectors. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Scalar (dot) product of vectors, projection of a vector on a line. Vector (cross) product of vectors.

Also, access the following resources for Class 12 Chapter 10 Vector Algebra at BYJU’S:

• Vector Algebra Class 12 Notes – Chapter 10
• Important Questions Class 12 Maths Chapter 10 – Vectors
• Maths Revision Notes for Class 12 Chapter 10 Vector Algebra
• NCERT Exemplar Solutions for Class 12 Maths Chapter 10 Vector Algebra

Chapter 11 Three Dimensional Geometry

Chapter 11 of NCERT Class 12 Maths constitutes topics related to three dimensional geometry, direction cosines and direction ratios of a line, relation between the direction cosines of a line, direction cosines of a line passing through two points, equation of a line in space, equation of a line through a given point and parallel to a given vector, derivation of cartesian form from vector form, equation of a line passing through two given points, angle between two lines, shortest distance between two lines, distance between two skew lines, distance between two parallel lines, plane in cartesian form, equation of a plane in a normal form, equation of a plane perpendicular to a given vector and passing through a given point, equation of a plane passing through three non collinear points, intercept form of the equation of a plane, plane passing through the intersection of two given planes, coplanarity of two lines , angle between two planes, distance of a point from a plane, angle between a line and a plane and miscellaneous examples. Below, we have listed links to the solutions for the exercises from this chapter.

Topics Covered in Class 12 Maths Chapter 11 Three Dimensional Geometry: Direction cosines/ratios of a line joining two points. Cartesian and vector equation of a line, coplanar and skew lines, shortest distance between two lines. Cartesian and vector equation of a plane. Angle between (i) two lines, (ii) two planes, (iii) a line and a plane. Distance of a point from a plane.

Also access the following resources for Class 12 Chapter 11 Three Dimensional Geometry at BYJU’S:

• Three Dimensional Geometry Class 12 Notes Chapter 11
• Important Questions Class 12 Maths Chapter 11-Three Dimensional Geometry
• Maths Revision Notes for Class 12 Chapter 11 Three Dimensional Geometry
• NCERT Exemplar Solutions for Class 12 Maths Chapter 11 Three Dimensional Geometry

In this chapter, students are introduced to linear programming. The concepts covered in this chapter are linear programming problem and its mathematical formulation, mathematical formulation of the problem, graphical method of solving linear programming problems, different types of linear programming problems with miscellaneous examples. Students can find the exercises explaining these concepts properly with solutions.

Topics Covered in Class 12 Maths Chapter 12 Linear Programming: Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming (L.P.) problems, mathematical formulation of L.P. problems, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constrains).

Also access the following resources for Class 12 Chapter 12 Linear Programming at BYJU’S:

• Linear Programming Class 12 Notes Chapter 12
• Important questions Class 12 Maths Chapter 12 Linear Programming
• Maths Revision Notes for Class 12 Chapter 12 Linear Programming
• NCERT Exemplar Solutions for Class 12 Maths Chapter 12 Linear Programming

This chapter deals with probability. By reviewing the basic facts and formulae studied earlier in Class 11, we shall implement those formulas again in this chapter along with the advance concepts mentioned, i.e., conditional probability, properties of conditional probability , multiplication theorem on probability, multiplication rule of probability for more than two events, independent events, Bayes’ theorem, partition of a sample space, theorem on total probability, random variables and its probability distributions, probability distribution of random variable, mean of random variable, variance of random variable, Bernoulli trials and binomial distribution with miscellaneous examples. We have compiled here the solutions to exercises from this chapter that explain the concept thoroughly.

Topics Covered in Class 12 Maths Chapter 13 Probability: Multiplication theorem on probability. Conditional probability, independent events, total probability, Baye’s theorem. Random variable and its probability distribution, mean and variance of haphazard variable. Repeated independent (Bernoulli) trials and Binomial distribution.

Also access the following resources for Class 12 Chapter 13 Probability at BYJU’S:

• Probability Class 12 Notes Chapter 13
• Important Questions for Class 12 Maths chapter 13 Probability
• Maths Revision Notes for Class 12 Chapter 13 Probability
• NCERT Exemplar Solutions for Class 12 Maths Chapter 13 Probability

CBSE Class 12 Maths 2023-24 Unit-Wise Weightage

Internal Assessment Class 12

NCERT Solutions Class 12 Maths Chapter 1 to 13

NCERT Solutions PDF Class 12 Maths acts as a vital tool for students in their exam preparation and home assignments. Maths plays a vital role in the success of students in Class 12 boards and competitive exams. Solutions PDF of Class 12 can be your best support for board exam preparations. It’s difficult to score in Mathematics simply by reading and memorizing the formulae. Instead, practice is the perfect method to succeed.

Learning from BYJU’S NCERT Solutions will help students of Class 12 to grasp the conceptual meaning of every problem quite effectively. CBSE Class 12th NCERT Maths Solutions provides in-depth answers to all the problems covered in the syllabus. All the above-mentioned chapters are equally important and can be mastered with consistent practice and hard work. The topics like probability, calculus, coordinate geometry, and trigonometry are easy, and with proper practice, students can easily score good marks for questions from these units. We have also provided solved examples at the end of every chapter to make concepts clear to our readers.

Key Features of CBSE Class 12 Maths NCERT Solutions

• Students can easily practise and revise concepts by referring to these solutions.
• It saves your time by providing all the necessary concepts and formulae in a proper sequence.
• The CBSE Class 12th Maths NCERT Solutions   PDF Download option promotes among students the logical approach, which is crucial to ace the exam.
• These solutions are extremely helpful for quick revisions during examinations.

Students are advised to follow the NCERT Class 12 books and solutions on a regular basis to get in-depth knowledge about all the concepts covered in the syllabus.

Frequently Asked Questions on NCERT Solutions for Class 12 Maths

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Get NCERT solutions for Class 12 Maths free with videos. Solutions of all exercise questions, examples, miscellaneous exercise, supplementary exercise are given in an easy to understand way

The chapters and the topics in them are

• Chapter 1 Relation and Functions – Types of Relation - Reflexive, Symmetric, Transitive & Equivalence relation, Type of functions - One-one (injective), Onto (surjective) & Bijective, Composition of functions and Inverse of a function, Binary Operation - Commutative, Associative, Identity and Inverse.
• Chapter 2 Inverse Trigonometric Functions –  Finding principle value, solving identities using properties
• Chapter 3 Matrices – Order of matrix, Types of matrices - Column matrix, Row matrix, Square matrix, Diagnol matrix, Scalar Matrix, Identity matrix, Equal matrices, Addition, Subtraction and Multiplication of matrices, Transpose of a Matrix, Symmetric, Skew Symmetric Matrices, Finding inverse of matrix by elementary operations
• Chapter 4 Determinants – Evaluating 2 x 2, 3 x 3 Determinant, Properties of Determinant, Area of triangle, Minors and Cofactors, Adjoint and inverse of matrix, Solution of system of linear equations using matrix method
• Chapter 5 Continuity and Differentiability – Finding whether function is continuous, composition of continuous functions is continuous, Finding Derivative using chain rules, logarithmic and exponential differentiation, Mean value of theorem, Rolle's Theorem.
• Chapter 6 Application of Derivatives – Finding rate of change, Increasing & decreasing functions, Point of Inflexion, Finding slope of tangent  and normal, Finding approximate of functions and numbers, Finding maxima & minima using first derivative & second derivative test and Finding absolute maxima and minima
• Chapter 7 Integrals – Finding integration by substitution, trigonometric identities, Partial Fractions & using special formulas. Finding definite integrals as Limit as a Sum, Finding definite integral using indefinite integral and finding Definite Integral using properties
• Chapter 8 Application of Integrals –  Finding area of region of simple curve, curve and line. Finding area between two curves.
• Chapter 9 Differential Equations – Degree and order of differential equations, General & Particular Solutions of Differential Equation, Forming differential equation when general solution is equation, Solving by variable separating, solving homogeneous differential equations, Linear Differential Equation
• Chapter 10 Vector Algebra – What is vector, Difference between vector and scalar, Types of vector - Unit vector, Equal vector, Addition of vectors, Components of vector, Scalar(Dot) product of vectors, Projection of vector on line, Vector (Cross) product of vectors, Finding area of parallelogram
• Chapter 11 Three Dimensional Geometry – Direction Ratio & Direction cosines of line, Finding equation of line - given point & parallel vector, though two points, Angle between two lines, Distance between two skew lines, Distance between two parallel lines, Finding equation of plane - normal form, perpendicular to given vector & passing through point, through 3 non-collinear points, intercept form, through two planes. Coplanarity of two planes, Angle between two planes, Distance between point and plane, Angle between Line & Plane
• Chapter 12 Linear Programming  – Finding maximum or minimum value of Z using bounded or unbounded region of graphical inequality.  Solving Diet, Manufacturing & Transport problems.
• Chapter 13 Probability – Conditional Probability, Multiplication Theorem of Probability, Independent events, Bayes Theorem, Random Variable & its Probability Distributions, Mean & Variance of Random Variable, Bernoulli Trials & Binomial Distribution

Each chapter is divided into two parts - Serial Order Wise and Concept Wise.

• In Serial  Order Wise, the chapter is taught according to the NCERT Book with exercises, examples and miscellaneous. You should follow this when you are searching for a particular question
• In Concept Wise, we have divided the Chapter into topics. Concept is explained first, and then questions are ordered from easy to difficult. You should always follow this method to do the chapter. This is the Teachoo (टीचू) way of doing a chapter.

In addition to that, Important Questions are marked for your reference.

And, we have also solved Past Year Papers, and Sample Papers with step by step marking as well

Click on a Chapter below to begin

Chapter 1 Class 12 Relation and Functions

Chapter 2 class 12 inverse trigonometric functions, chapter 3 class 12 matrices, chapter 4 class 12 determinants, chapter 5 class 12 continuity and differentiability, chapter 6 class 12 application of derivatives, chapter 7 class 12 integrals, chapter 8 class 12 application of integrals, chapter 9 class 12 differential equations, chapter 10 class 12 vector algebra, chapter 11 class 12 three dimensional geometry, chapter 12 class 12 linear programming, chapter 13 class 12 probability, important questions for exams class 12, solutions of sample papers and past year papers - for class 12 boards.

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Samacheer Kalvi 12th Business Maths Book Solutions Answers Guide

Expert Teachers at SamacheerKalvi.Guru has created Tamilnadu State Board Samacheer Kalvi 12th Business Maths and Statistics Book Solutions Answers Guide Pdf Free Download of Volume 1 and Volume 2 in English Medium and Tamil Medium are part of Samacheer Kalvi 12th Books Solutions . Here we have given TN State Board New Syllabus Samacheer Kalvi 12th Std Business Maths Guide Pdf of Text Book Back Questions and Answers, Notes, Chapter Wise Important Questions, Model Question Papers with Answers, Study Material, Question Bank, Formulas.

Students can also read Tamil Nadu 12th Business Maths Model Question Papers 2019-2020 English & Tamil Medium.

Samacheer Kalvi 12th Business Maths Guide Book Back Answers

Samacheer Kalvi 12th Business Maths Book Back Answers

Tamilnadu State Board Samacheer Kalvi 12th Business Maths Book Volume 1 Solutions

Samacheer Kalvi 12th Business Maths Guide Chapter 1 Applications of Matrices and Determinants

• Chapter 1 Applications of Matrices and Determinants Ex 1.1
• Chapter 1 Applications of Matrices and Determinants Ex 1.2
• Chapter 1 Applications of Matrices and Determinants Ex 1.3
• Chapter 1 Applications of Matrices and Determinants Ex 1.4
• Chapter 1 Applications of Matrices and Determinants Miscellaneous Problems
• Chapter 1 Applications of Matrices and Determinants Additional Problems

12th Business Maths Book Back Answers Chapter 2 Integral Calculus I

• Chapter 2 Integral Calculus I Ex 2.1
• Chapter 2 Integral Calculus I Ex 2.2
• Chapter 2 Integral Calculus I Ex 2.3
• Chapter 2 Integral Calculus I Ex 2.4
• Chapter 2 Integral Calculus I Ex 2.5
• Chapter 2 Integral Calculus I Ex 2.6
• Chapter 2 Integral Calculus I Ex 2.7
• Chapter 2 Integral Calculus I Ex 2.8
• Chapter 2 Integral Calculus I Ex 2.9
• Chapter 2 Integral Calculus I Ex 2.10
• Chapter 2 Integral Calculus I Ex 2.11
• Chapter 2 Integral Calculus I Ex 2.12
• Chapter 2 Integral Calculus I Miscellaneous Problems
• Chapter 2 Integral Calculus I Additional Problems

12th Business Maths Solution Book Chapter 3 Integral Calculus II

• Chapter 3 Integral Calculus II Ex 3.1
• Chapter 3 Integral Calculus II Ex 3.2
• Chapter 3 Integral Calculus II Ex 3.3
• Chapter 3 Integral Calculus II Ex 3.4
• Chapter 3 Integral Calculus II Miscellaneous Problems
• Chapter 3 Integral Calculus II Additional Problems

12th Samacheer Business Maths Book Chapter 4 Differential Equations

• Chapter 4 Differential Equations Ex 4.1
• Chapter 4 Differential Equations Ex 4.2
• Chapter 4 Differential Equations Ex 4.3
• Chapter 4 Differential Equations Ex 4.4
• Chapter 4 Differential Equations Ex 4.5
• Chapter 4 Differential Equations Ex 4.6
• Chapter 4 Differential Equations Miscellaneous Problems
• Chapter 4 Differential Equations Additional Problems

12th Business Maths Guide Volume 1 Chapter 5 Numerical Methods

• Chapter 5 Numerical Methods Ex 5.1
• Chapter 5 Numerical Methods Ex 5.2
• Chapter 5 Numerical Methods Ex 5.3
• Chapter 5 Numerical Methods Miscellaneous Problems
• Chapter 5 Numerical Methods Additional Problems

Tamilnadu State Board Samacheer Kalvi 12th Business Maths Book Volume 2 Solutions

12th Business Maths Guide Volume 2 Chapter 6 Random Variable and Mathematical Expectation

• Chapter 6 Random Variable and Mathematical Expectation Ex 6.1
• Chapter 6 Random Variable and Mathematical Expectation Ex 6.2
• Chapter 6 Random Variable and Mathematical Expectation Ex 6.3
• Chapter 6 Random Variable and Mathematical Expectation Miscellaneous Problems
• Chapter 6 Random Variable and Mathematical Expectation Additional Problems

TN 12th Business Maths Solution Book Chapter 7 Probability Distributions

• Chapter 7 Probability Distributions Ex 7.1
• Chapter 7 Probability Distributions Ex 7.2
• Chapter 7 Probability Distributions Ex 7.3
• Chapter 7 Probability Distributions Ex 7.4
• Chapter 7 Probability Distributions Miscellaneous Problems
• Chapter 7 Probability Distributions Additional Problems

12th Std Business Maths Guide Pdf Chapter 8 Sampling Techniques and Statistical Inference

• Chapter 8 Sampling Techniques and Statistical Inference Ex 8.1
• Chapter 8 Sampling Techniques and Statistical Inference Ex 8.2
• Chapter 8 Sampling Techniques and Statistical Inference Ex 8.3
• Chapter 8 Sampling Techniques and Statistical Inference Miscellaneous Problems
• Chapter 8 Sampling Techniques and Statistical Inference Additional Problems

12th Business Maths Book Answer Key Chapter 9 Applied Statistics

• Chapter 9 Applied Statistics Ex 9.1
• Chapter 9 Applied Statistics Ex 9.2
• Chapter 9 Applied Statistics Ex 9.3
• Chapter 9 Applied Statistics Ex 9.4
• Chapter 9 Applied Statistics Miscellaneous Problems
• Chapter 9 Applied Statistics Additional Problems

12th Business Maths Book Pdf Chapter 10 Operations Research

• Chapter 10 Operations Research Ex 10.1
• Chapter 10 Operations Research Ex 10.2
• Chapter 10 Operations Research Ex 10.3
• Chapter 10 Operations Research Ex 10.4
• Chapter 10 Operations Research Miscellaneous Problems
• Chapter 10 Operations Research Additional Problems

We hope the given Tamilnadu State Board Samacheer Kalvi Class 12th Business Maths Book Volume 1 and Volume 2 Answers Solutions Guide Pdf Free Download in English Medium and Tamil Medium will help you. If you have any queries regarding TN State Board New Syllabus Samacheer Kalvi 12th Standard Business Maths Guide Pdf of Text Book Back Questions and Answers, Notes, Chapter Wise Important Questions, Model Question Papers with Answers, Study Material, Question Bank, Formulas, drop a comment below and we will get back to you at the earliest.

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Original EdwardsMaths Papers

Grade 12 Model Assignments

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I have adopted the grade 12 assignment to use as one of my tasks, The problem is I can’t the memo on your website

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NCERT Solutions for Class 12 Maths

Ncert solutions for class 12 maths – free pdf solutions.

Maths NCERT Solutions for Class 12 acts as a vital tool when students are preparing for their Board examinations and even while solving the home work or any assignments. It also helps students to crack any competitive exam such as IIT JEE, AIIMS, NDA, UPSC, NEET, BITSAT, VITEEE or any government exam. In short, any undergraduate engineering entrance exam or government exam requires NCERT solutions since they are your best ally and foot forward towards your exam preparations. Scoring in Maths can be very difficult process as it is not plain wrote-learning but practical application of the conceptual knowledge you have learned. This can be only done by mere practice and hardwork.

Class 12 NCERT Maths Solutions prepare a strong foundation of conceptual learning of all the chapters and topics covered in 12 th standard portion as prescribed by CBSE. The solution PDF compromises of important formulas, theorems and equations. Each point is further explained with detailed explanations so that students can grasp it easily and understand the concepts efficiently. Mathongo provides detailed step by step explanation of the problems. They are free download and in PDF format. They are designed by the best professors and teachers to ensure students get good marks in their examination.

The maths solutions of CBSE NCERT Class 12 gives in-depth clarity answers to all the questions asked in the NCERT textbook. All the topics of NCERT are equally important and must be studied thoroughly to attain good marks. Students should study chapters like probability, calculus, coordinate geometry, trigonometry with consistence as they can become very easy to solve with proper practice and then these units will help in fetching high marks.

NCERT Class 12 Maths Chapterwise Solutions

• Chapter 1 Relations and Functions
• Chapter 2 Inverse Trigonometric Functions
• Chapter 3 Matrices
• Chapter 4 Determinants
• Chapter 5 Continuity and Differentiability
• Chapter 6 Application of Derivatives
• Chapter 7 Integrals
• Chapter 8 Applications of Integrals
• Chapter 9 Differential Equations
• Chapter 10 Vector Algebra
• Chapter 11 Three-Dimensional Geometry
• Chapter 12 Linear Programming
• Chapter 13 Probability

Why Go for Mathongo’s NCERT Maths Solutions for Class 12

Mathongo provides NCERT class 12 maths solution at free of cost online and it’s easily accessible in the form of PDF. Each PDF constitutes of the chapter in which exercise wise solutions are given. It is very easy for the students to locate any answer from the exercise.

All the solutions are made with the help of the best teachers and academicians. The solutions are plain easy and can be understood by anyone. The approaches and the methods used to solve the questions are also given in step by step method so that students score good in paper. For additional conceptual clarity, diagrams and formulas are also used.

Mathongo has provided the best solutions for class 12 maths Ncert textbooks. Students can refer these solutions which will help them in solving the previous year question papers. These NCERT maths class 12 solution will help the students to study more effectively and also present the answers in the most effective way to get the highest scores.

The back-end exercise questions given in NCERT books are very important for the class 12 finals. These exercises often test the conceptual clarity and the subject knowledge of the student. NCERT Solutions will help you to understand these concepts better. On the other hand, the students who have problem in solving maths and require assistance and guidance can also refer class 12 Ncert Maths Solutions to clarify the complex questions concepts.

Maths is all about practice. The more you practice, the better you will be. Ncert maths class 12 pdf download can help students to solve all their problems and also save their time as everything is at one place, one click away.

Which book is best for class 12 Maths?

The best book for not only class 12 Mathematics but for any class is the NCERT textbook which is prescribed by CBSE. The conceptual base required to solve HOTs (High Order Thinking Problems) is built by practicing NCERT maths book examples and exercise questions. Once the students have studied thoroughly the NCERT textbook, the students can through books like RD Sharma and RS Aggarwal for further practice. However, students must not underestimate the power of solving NCERT since majority of the questions in the boards come either directly from NCERT or are NCERT based.

Is NCERT enough for Class 12 board Maths?

NCERT textbook is well enough for class 12 board examinations for Maths. Solving questions from NCERT textbook helps student to grasp concepts easily. If they wish to practice more as Maths is all about practice, they can use other reference books or even solve question banks and past year question papers.

Is class 12 NCERT Maths difficult?

The idea of the subject being difficult or easy lies in the mind of the beholder. Some students since childhood have Maths phobia engraved in their minds. But I would like to clear that. NCERT Maths of class 12 is not difficult. Once you get the conceptual clarity, you can start solving solved examples and problems followed by exercise questions. The only way you can master Maths is by practicing variety of questions.

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Mathematics-311 Nios solved Assignment For 12th class 2021-22

This platform provides Mathematics-311 Nios solved Assignment with project work for class 12th. Here you can get Nios Solved Tutor Mark Assignment (TMA) in good Quality which helps to achieve more and More Marks. Nios Assignment’s Answer Prepared by well Skilled and Experienced Teachers. 

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