Limits and Derivatives MCQ Questions for Class 11 Math’s Chapter 13 with Answers

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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 Limx→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 Limx→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 Limx→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 limy→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. Limx→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. Limx→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

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