Its our pleasure to assist you towards your goal .for inbuilt quality question with standard solution may help you a lot .Class 11 Mathematics book Chapter 13 Limits and Derivatives with Answers Pdf free download .This may assist you to understand and check your knowledge about the chapters . MCQ question and solution may help you to get better performance in exam .These MCQ Questions are selected supported by the newest exam pattern as announced by CBSE.

## MCQ Questions for Class 11 Mathematics Chapter wise with Answers

## Q1. Differentiation of log(sin x) is

(i) cosec x

(ii) cot x

(iii) sin x

(iv) cos x

(ii) cot x

## Q2. The value of Lim_{x→a} (a × sin x – x × sin a)/(ax² – xa²) is

(i) = (a × cos a + sin a)/a²

(ii) = (a × cos a – sin a)/a²

(iii) = (a × cos a + sin a)/a

(iv) = (a × cos a – sin a)/a

(ii) = (a × cos a – sin a)/a²

## Q3. If y = Sin (x+9) / Cos x , then dy/dx at x = 0 is

(i) cos 9

(ii) sin 9

(iii) 0

(iv) 1

(i) cos 9

## Q4. The value of Lim_{x→01} (1/x) × sin_{-1} {2x/(1 + x²) is

(i) 0

(ii) 1

(iii) 2

(iv) -2

(iii) 2

## Q5. If f(x) = (x + 1)/x then df(x)/dx is

(i) 1/x

(ii) -1/x

(iii) -1/x²

(iv) 1/x²

(iii) -1/x²

## Q6. If y = √x + 1/√x , then dy/dx at x = 1 is

(i) 1

(ii) 1/2

(iii) 1/√2

(iv) 0

(iv) 0

## Q7. Differentiation of cos √x with respect to x is

(i) sin x /2√x

(ii) -sin x /2√x

(iii) sin √x /2√x

(iv) -sin √x /2√x

(iv) -sin √x /2√x

## Q8. The value of the limit Lim_{x→0} {log(1 + ax)}/x is

(i) 0

(ii) 1

(iii) a

(iv) 1/a

(iii) a

## Q9. Find the differentiation of cos (x² + 1 ) by using first principle.

(i) 2x sin (x² + 1 )

(ii) 2x sin (x² + 1 )

(iii) -2x sin (x² – 1 )

(iv) None of these

(ii) 2x sin (x² + 1 )

## Q10. The value of lim_{y→0} {(x + y) × sec (x + y) – x × sec x}/y is

(i) x × tan x × sec x

(ii) x × tan x × sec x + x × sec x

(iii) tan x × sec x + sec x

(iv) x × tan x × sec x + sec x

(iv) x × tan x × sec x + sec x

## Q11. Lim_{x→0} sin (ax)/bx is

(i) 0

(ii) 1

(iii) a/b

(iv) b/a

(iii) a/b

## Q12. The derivative of (3x + 5)(1 + tan x) is

(i) 3x sec² x 6 sec2 x 3 + 3 tan x

(ii) 3x sec² x 5 sec2 x 3 3 tan x

(iii) 3x sec² x + 5 sec2 x + 3 + 3 tan x

(iv) None of the above

(iii) 3x sec2 x + 5 sec2 x + 3 + 3 tan x

## Q13. Lim_{x→0} sin²(x/3)/x² is equals to

(i) 1/2

(ii) 1/3

(iii) 1/4

(iv) 1/9

(iv) 1/9

## Q14. The derivative of the function f(x) = 3x³ – 2x³ + 5x – 1 at x = -1 is

(i) 0

(ii) 1

(iii) -18

(iv) 18

(iv) 18

## Q15. The derivative of (x sinx cosx) 2 + 2 is

(i) x² cos x + 2x sin x sin 2x

(ii) x² cos x + 2x sin x sin 2x

(iii) x² cos x + x sin x sin 2x

(iv) x² cos x + 2x sin x + sin 2x

(ii) x² cos x + 2x sin x sin 2x

We hope the given NCERT MCQ Questions for Class 11 Mathematics book Chapter 13 Limits and Derivatives with Answers PDF Free Download solution will definitely help you to achieve perfect score. If you have any queries related to CBSE Class 11 Mathematics book Chapter 13 Limits and Derivatives with Answers book MCQs Multiple Choice Questions with Answers, drop your questions below and will get back to you in no time.

## MCQ Questions for Class 11 Mathematics Chapter wise with Answers

- Chapter 1. Sets Class 11 MCQ Questions
- Chapter 2. Relations and Functions Class 11 MCQ Questions
- Chapter 3. Trigonometric Functions Class 11 MCQ Questions
- Chapter 4. Principle of Mathematical Induction Class 11 MCQ Questions
- Chapter 5. Complex Numbers and Quadratic Equations Class 11 MCQ Questions
- Chapter 6. Linear Inequalities Class 11 MCQ Questions
- Chapter . Permutations and Combinations Class 11 MCQ Questions
- Chapter 8. Binomial Theorem Class 11 MCQ Questions
- Chapter 9. Sequences and Series Class 11 MCQ Questions
- Chapter 10. Straight Lines Class 11 MCQ Questions
- Chapter 11. Conic Sections Class 11 MCQ Questions
- Chapter 12. Introduction to Three Dimensional Geometry Class 11 MCQ Questions
- Chapter 13. Limits and Derivatives Class 11 MCQ Questions
- Chapter 14. Mathematical Reasoning Class 11 MCQ Questions
- Chapter 15. Statistics Class 11 MCQ Questions
- Chapter 16. Probability Class 11 MCQ Questions