Class 11 Mathematics Limits And Derivatives MCQs

Refer to Class 11 Mathematics Limits And Derivatives MCQs provided below. CBSE Class 11 Mathematics MCQ questions with answers are available for download in Pdf. The MCQ Questions for Class 11 Mathematics with answers are aligned as per the latest syllabus and exam pattern suggested in Class 11 by CBSE, NCERT and KVS. Multiple Choice Questions for Chapter 13 Limits and Derivatives are an important part of exams for Class 11 Mathematics and if practiced properly can help you to improve your understanding of Chapter 13 Limits and Derivatives and get higher marks. Refer to more Chapter-wise MCQs for CBSE Class 11 Mathematics and also download more latest study material for all subjects

MCQ for Class 11 Mathematics Chapter 13 Limits and Derivatives

Class 11 Mathematics students should refer to the following multiple-choice questions with answers for Chapter 13 Limits and Derivatives in Class 11.

Chapter 13 Limits and Derivatives MCQ Questions Class 11 Mathematics with Answers

Question. limx→0 sinx / √(x + 1 - √(1- x) is      
(a) 2
(b) 0
(c) 1
(d) –1

Answer :  C
 

Question. limx→1 (√x +1) (2x - 3) /2x3 + x -3 is      
(a) 1/10
(b) 1/10
(c) 1
(d) None of these

Answer :  B
 

Question. limx→4 |x-4 | /x - 4 is equal to     
(a) 1
(b) –1
(c) does not exist
(d) None of these

Answer :  C
 

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

(a) 1
(b) 1/2
(c) 1/√2
(d) 0

 Answer :  D
 

Question. limx→0 |Sinx | /x  is      
(a) 1
(b) –1
(c) does not exist
(d) None of these

Answer :  C
 

Question. If y =

Class 11 Mathematics Limits And Derivatives MCQs

(a) -4x / (x2 - 1)2

(b) -4x / (x2 - 1)
(c)  1 - x2 / 4x
(d) 4x / x2 - 1
 

Answer :  A
 

Question. limx→0 tan2x - x / 3x - Sinx      
(a) 2
(b) 1/2
(c) -1/2
(d) 1/4

Answer :  B
 

Question. The derivative of (3x + 5)(1 + tan x) is     
(a) 3x sec2 x 6 sec2 x 3 + 3 tan x
(b) 3x sec2 x  5 sec2 x 3 3 tan x
(c) 3x sec2 x + 5 sec2 x + 3 + 3 tan x
(d) None of the above

Answer :  C
 

Question. The derivative of (ax2 + cot x)( p + q cos x) is     
(a) ax2 cot (q sin ) + ( p+ q cosx )(2ax cosec2x )
(b) ax2 cot (q sin ) + ( p+ q cosx )(2ax cosec2x )
(c) ax2 cot (q sin ) + ( p q cosx )(2ax cosec2x )
(d) None of the above

Answer :  A
 

Question. The derivative of (x sinx cosx) 2 + 2 is      
(a) x2 cos x + 2x sin x sin 2x
(b) x2 cos x + 2x sin x sin 2x
(c) x2 cos x + x sin x sin 2x
(d) x2 cos x + 2x sin x + sin 2x

Answer :  B
 

Question. The derivative of sin3x cos3x xis       
(a) 3 /5 sin2 2x cos 2x
(b) 3 /4 sin2 2x cos 2x
(c) 3 /4 sin 2x cos2 2x 
(d) 3 /2 sin2 2x cos 2x

Answer :  B
 

Question. The derivative of x5 cos x /sinx is

Class 11 Mathematics Limits And Derivatives MCQs

Answer :  B

Question. Find the differentiation of x2/3 by using first principle.     
(a) 2/3 x-1/3
(b) -2/3 x-1/3
(c) 2/3 x 1/3
(d) None of these

Answer :  A
 

Question. Find the differentiation of cos (x2 + 1 ) by using first principle.      
(a) 2x sin (x2 + 1 )
(b) 2x sin (x2 + 1 )
(c) -2x sin (x2 - 1 )
(d) None of these

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. Find the differentiation of x cos x by using first principle.   
(a) x sin x + cos x
(b) x sin x + cos x
(c) x cos x cos x
(d) None of these

Answer :  A
 

Question. If y = Sin (x+9) / Cos x , then dy/dx at x = 0 is    
(a) cos 9
(b) sin 9
(c) 0
(d) 1

Answer :  A

Chapter 02 Relations and Functions
Class 11 Mathematics Relations and Functions MCQs
Chapter 03 Trigonometric Functions
Class 11 Mathematics Trigonometric Functions MCQs
Chapter 05 Complex Numbers and Quadratic Equations
Class 11 Mathematics Complex Numbers and Quadratic Equation MCQs
Chapter 06 Linear Inequalities
Class 11 Mathematics Linear Inequalities MCQs
Chapter 07 Permutations and Combinations
Class 11 Mathematics Permutations and Combinations MCQs
Chapter 08 Binomial Theorem
Class 11 Mathematics Binomial Theorem MCQs
Chapter 09 Sequences and Series
Class 11 Mathematics Sequences and Series MCQs
Chapter 12 Introduction to Three Dimensional Geometry
Class 11 Mathematics Introduction To Three-Dimensional Geometry MCQs
Chapter 13 Limits and Derivatives
Class 11 Mathematics Limits And Derivatives MCQs
Chapter 14 Mathematical Reasoning
Class 11 Mathematics Mathematical Reasoning MCQs

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CBSE Class 11 Mathematics Chapter 13 Limits and Derivatives MCQs

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MCQs for Mathematics CBSE Class 11 Chapter 13 Limits and Derivatives

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Chapter 13 Limits and Derivatives MCQs Mathematics CBSE Class 11

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Chapter 13 Limits and Derivatives CBSE Class 11 MCQs Mathematics

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