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# RD Sharma Solution for Class 12 Science Mathematics Chapter 15 - Mean Value Theorems

Our RD Sharma Textbook Solutions are considered extremely helpful for solving the tough questions which are asked in the CBSE Class 12 exam. TopperLearning Textbook Solutions are compiled by subject experts. Herein, you can find all the answers to the textbook questions for Chapter 15 - Mean Value Theorems.

All our solutions are created in accordance with the latest CBSE syllabus, and they are amended from time to time to provide the most relevant answers. Our free RD Sharma Solutions for CBSE Class 12 Mathematics will strengthen your fundamentals in Mathematics and will help you in your attempts to score more marks in the final examination. CBSE Class 12 students can refer to our solutions any time — while doing their homework and while preparing for the exam.

Exercise/Page

## RD Sharma Solution for Class 12 Science Mathematics Chapter 15 - Mean Value Theorems Page/Excercise 15.1

Solution 1(i)

Solution 1(ii)

Solution 1(iii)

Solution 1(iv)

Solution 1(v)

Solution 1(vi)

Solution 2(i)

Solution 2(ii)

Solution 2(iii)

Solution 2(iv)

Solution 2(v)

Solution 2(vi)

Solution 2(vii)

Solution 2(viii)

Solution 3(i)

Solution 3(ii)

Solution 3(iii)

Solution 3(iv)

Solution 3(v)

Solution 3(vi)

Solution 3(vii)

Here,

Solution 3(viii)

Solution 3(ix)

Solution 3(x)

Solution 3(xi)

Solution 3(xii)

Solution 3(xiii)

Solution 3(xiv)

Solution 3(xv)

Solution 3(xvi)

Solution 3(xvii)

Solution 3(xviii)

Solution 7

x = 0 then y = 16

Therefore, the point on the curve is (0, 16)

Solution 8(i)

x = 0, then y = 0

Therefore, the point is (0, 0)

Solution 8(ii)

Solution 8(iii)

x = 1/2, then y = - 27

Therefore, the point is (1/2, - 27)

Solution 9

Solution 10

Solution 11

Solution 1(i)

Solution 1(ii)

Solution 1(iii)

Solution 1(iv)

Solution 1(v)

Solution 1(vi)

Solution 1(vii)

Solution 1(viii)

Solution 1(ix)

Solution 1(x)

Solution 1(xi)

Solution 1(xii)

Solution 1(xiii)

Solution 1(xiv)

Solution 1(xv)

Solution 1(xvi)

Solution 2

Solution 3

Solution 4

Solution 5

Solution 6

Solution 7

Solution 8

Solution 9

Solution 10

Solution 11

## RD Sharma Solution for Class 12 Science Mathematics Chapter 15 - Mean Value Theorems Page/Excercise MCQ

Solution 1

Correct option: (c)

Solution 2

Correct option: (c)

Solution 3

Correct option: (b)

Solution 4

Correct option: (c)

Using statement of Lagrange's mean value theorem function is continuous on [a,b], differentiable on (a,b) then there exists c such that a < x1

Solution 5

Correct option: (b)

ϕ(x) is continuous and differentiable function then using statement of Rolle's theorem f(a)=f(b). Hence, here sin 0=0 also sin п=0. The answer is [0, ].

Solution 6

Correct option: (a)

Solution 7

Correct option: (a)

Solution 8

Solution 9

Correct option: (d)

Solution 10

Correct option: (a)

Solution 11

Correct option: (d)

Solution 1

Solution 2

Solution 3

Solution 4

Solution 5

## Browse Study Material

TopperLearning provides step-by-step solutions for each question in each chapter in the RD Sharma textbook for class 9. Access the CBSE Class 9 Mathematics Chapter 15 - Mean Value Theorems for free. The textbook questions have been solved by our subject matter experts to help you understand how to answer them. Our RD Sharma Textbook Solutions will help you to study and revise, and you can easily clear your fundamentals of Chapter 15 - Mean Value Theorems.

# Text Book Solutions

CBSE XII Science - Mathematics

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