MCQ Questions for Class 11 Limits and Derivatives with Answers

MCQs MCQs Class 11

Students can refer to the following Limits and Derivatives MCQ Questions for Class 11 with Answers provided below based on the latest curriculum and examination pattern issued by CBSE and NCERT. Our teachers have provided here a collection of multiple choice questions for Limits and Derivatives Class 11 covering all topics in your textbook so that students can assess themselves on all important topics and thoroughly prepare for their exams

Limits and Derivatives MCQ Questions for Class 11 with Answers

We have provided below Limits and Derivatives MCQ Questions for Class 11 with answers which will help the students to go through the entire syllabus and practice multiple choice questions provided here with solutions. As Limits and Derivatives MCQs in Class 11 Mathematics pdf download can be really scoring for students, you should go through all problems provided below so that you are able to get more marks in your exams.

Question. The value of limx→1 (1+X)6 – 1 / (1+X2) – 1     
(a) 20
(b) 21
(c) 15
(d) 17

Answer

B

Question. The value of limx→1 X7 – 2X5 + 1 / X3 -3X2 + 2     
(a) 0
(b) 1
(c) –1
(d) 3

Answer

B

Question. The value of

(a)  8/5
(b) 7/5
(c) 8/5
(d) None of these

Answer

C

Question. Find n, if limx→2 Xn – 2n / x-2 = 80, n ∈ N.     
(a) 5
(b) 6
(c) 4
(d) 7

Answer

A

Question.The value of

MCQ Questions for Class 11 Limits and Derivatives with Answers

(a) 7/3
(b) 7/2
(c) 7/3
(d) 7/2

Answer

D

Question. The value of limx→0 sin22x / sin24x     
(a) 1/2
(b) 1/4
(c) 1/4
(d) 1/2

Answer

C

Question. limx→0 1- Cos2x / x2 is equal to     
(a) 2
(b) –2
(c) 3
(d) –3

Answer

A

Question. limx→π/6 Sinx / x-π is equal to     
(a) 1
(b) 2
(c) –1
(d) –2

Answer

C

Question. limx→0 2Sinx – Sin2x / X3 is equal to     
(a) –1
(b) 1
(c) 2
(d) –2

Answer

B

Question.  limx→π/6 Cot2x -3 / Cosecx -2 is equal to     
(a) 3
(b) 4
(c) 2
(d) 1

Answer

B

Question. limx→a Sinx – Sina /√x -√a is equal to
(a)  a cos a
(b) a cos a
(c) 2a cos a
(d) 2a cos a

Answer

D

Question. limx→0 x2 cosx / 1 -cosx is equal to     
(a) 2
(b) 3/2
(c) 3/2
(d) 1

Answer

A

Question. limx→0 (1+x)n – 1 is equal to     
(a) n
(b) 1
(c) n
(d) 0

Answer

A

Question. limx→1 Xm-1 / Xn-1 is equal to     
(a) 1
(b) m/n
(c) m/n
(d) m2/n2

Answer

B

Question. limΘ→0 1 – cos4Θ / 1 – cos6Θ is equal to     
(a) 4/9
(b) 1/2
(c) 1/2
(d) –1

Answer

A

Question. If f(x) = 1 + x + x2/2 +….. x100 / 100 then f ‘(1) is equal to
(a) 1 /100
(b) 100
(c) does not exist
(d) 0

Answer

B

Question. If f x = x- 4 / 2√x then f’ (1) is
(a) 5/4
(b) 4/5
(c) 1
(d) 0

Answer

A

Question.  limx→0 cosecx -cotx /x is equal to     
(a) 1 /2
(b) 1
(c) 1/2
(d) 1

Answer

C

Question. If y = sinx + cosx / sinx – cosx , then dy/dx at x=0 is
(a) –2
(b) 0
(c) 1/2
(d) does not exist

Answer

A

Question. If value of limx→0 √2+x −√2/x is equal to 1/a√2 then ‘a’ equals
(a) 1
(b) 2
(c) 3
(d) 4

Answer

B

Question. If value of limx→π/44√2 −(cosx + sin x)5/1−sin 2x is a√2, then the value of ‘a’ is
(a) 2
(b) 3
(c) 4
(d) 5

Answer

D

Question. The value of limx→0 cosx/π − x is 
(a) π
(b) –π
(c) 1/π 
(d) − 1/π

Answer

C

Question. limx→0 sin(πcos2x ) /xequals
(a) −π
(b) π
(c) π/2
(d) 1

Answer

B

Question. Match the terms given in column-I with the terms given in column-II and choose the correct option from the codes given below. 

MCQ Questions for Class 11 Limits and Derivatives with Answers

Codes
A B C D
(a) 4 1 3 2
(b) 1 4 3 2
(c) 4 1 2 3
(d) 4 3 1 2

Answer

A

Question. Derivative of e3 log x is
(a) ex
(b) 3x2
(c) 3x
(d) log x

Answer

B

Question. The value of

MCQ Questions for Class 11 Limits and Derivatives with Answers

(a) 2
(b) –2
(c) 0
(d) –1

Answer

B

Question. As x a, f (x) l, then l is called ………… of the function f (x),
(a) limit
(b) value
(c) absolute value
(d) None of these

Answer

A

Question. Derivative of f at x = a is denoted by 

MCQ Questions for Class 11 Limits and Derivatives with Answers
Answer

D

Question. If f(x) + f (y) = f (x+y/1−xy) for all x, y ∈ R (xy ≠ 1) and limx→0f(x)/x = 2. Then, f ‘(1/√3) is
(a) 3/4
(b) 4/3
(c) 3/6
(d) 3/2

Answer

D

Question. The derivative of 1+1/x / 1−1/x is
(a) 2/(1+ x)2
(b) −2/(1−x)2
(c) −1/(1−x)2
(d) 3/(1−x)2

Answer

B

STATEMENT TYPE QUESTIONS

Question. Consider the following limits which holds for function f and g:

MCQ Questions for Class 11 Limits and Derivatives with Answers

Which of the above are true ?
(a) Only I
(b) Only II
(c) Only III
(d) All of the above

Answer

D

Question. Which of the following is/are true?

MCQ Questions for Class 11 Limits and Derivatives with Answers

(a) Both I and II are true
(b) Only I is true
(c) Only II is true
(d) Both I and II are false

Answer

A

Question. Which of the following is/are true?
I. The derivative of f (x) = x3 is x2
II. The derivative of f (x) = 1/x3 is −1/x2
(a) Both I and II are true
(b) Only I is true
(c) Only II is true
(d) Both I and II are false

Answer

D

Question. limh→0 (a+h)2sin(a+h)−a2sin a/h is equal to
I. a2 sin a + 2a cos a
II. a2 cos a + 2a sin a
(a) Both I and II are true
(b) Only I is true
(c) Only II is true
(d) Both I and II are false

Answer

C

Question. Which of the following is/are true?
I. The derivative of x2 – 2at x = 10 is 18.
II. The derivative of 99x at x = 100 is 99.
III. The derivative of x at x = 1 is 1.
(a) I, II and III are true
(b) I and II are true
(c) II and III are true
(d) I and III are true

Answer

C

Question. Consider the function g (x) = | x |, x ≠ 0. Then
I. g (0) is not defined.
II. limx→0 g(x) is not defined.
Which of the following is/are true?
(a) Both I and II are true
(b) Only I is true
(c) Only II is true
(d) Both I and II are false

Answer

B

Question. Which of the following is/are true?
I. The derivative of sin (x + a) is cos (x + a), where a is a fixed non-zero constant.
II. The derivative of cosec x cot x is cosec3 x – cot2 x cosec x
(a) Both I and II are true
(b) Only I is true
(c) Only II is true
(d) Borh I and II are false

Answer

B

Question. Consider the following derivatives which holds for function u and v.
I. (u ± v)’ = u’ ± v’
II. (uv)’ = uv’ + vu’
III. (u/v)’ = u’v−uv’/v2
Which of the above holds are true ?
(a) Only I
(b) Only II
(c) Only III
(d) All of these

Answer

D

Limits Class 11 MCQ has been gathered for students to rehearse. Students can prepare these Limits MCQ Class 11 Questions with Answers. Each question has four choices with answers. Firstly, Solve all these Questions and check your answer with the right answer. If your answers do not match with the right answer, Don’t worry try again because You need to prepare daily to score higher marks in the Class 11 Maths Exam.

We hope you liked MCQ Questions for Class 11 Limits and Derivatives provided above. If you have any questions, please post them in the comments box below. Our teachers will provide a response.

We hope this Limits and Derivatives Class 11 MCQ shared with you will help you to get good marks in your exam. We have also other study material like NCERT Solutions, NCERT Book, Exam Question, and simpler paper of Class 12. If You want to score higher in your exam, So practice all this study material and if you have any problem in regard to the MCQ on Limits Class 11 then, write it in the comment box and we will guide you as much as possible.

MCQ Questions for Class 11 Limits and Derivatives with Answers