# Limits and Derivatives VBQs Class 11 Mathematics

VBQs Limits and Derivatives Class 11 Mathematics with solutions has been provided below for standard students. We have provided chapter wise VBQ for Class 11 Mathematics with solutions. The following Limits and Derivatives Class 11 Mathematics value based questions with answers will come in your exams. Students should understand the concepts and learn the solved cased based VBQs provided below. This will help you to get better marks in class 11 examinations.

## Limits and Derivatives VBQs Class 11 Mathematics

Question.

(a) 1/4
(b) 1/24
(c) 1/16
(d) 1/8

C

Question.

(a) 0
(b) 1
(c) 2
(d) 3

D

Question.

(a) equals √2
(b) equals – √2
(c) equals 1/√2
(d) does not exist

D

Question.

(a) √3
(b) 1/√2
(c) √3/2
(d) 1/2√2

B

Question.

(a) 6
(b) 2
(c) 3
(d) 1

B

Question.

(a) 8/3
(b) 3/8
(c)3/2
(d) 4/3

A

Question. Let ƒ(x) be a polynomial of degree 4 having extreme values at x = 1 and x = 2. If

then ƒ(– 1) is equal to
(a) 1/2
(b) 3/2
(c) 5/2
(d) 9/2

D

Question. Let ƒ(x) be a polynomial of degree four having extreme values at x = 1 and x = 2. If

then ƒ(2) is equal to :
(a) 0
(b) 4
(c) – 8
(d) – 4

A

Question.

(a) 4
(b) 4√2
(c) 8√2
(d) 8

D

Question.

then the value of n is equal to ________.

40

Question.

(a) e
(b) 2
(c) 1
(d) e2

D

Question.

(a) 1/√2π
(b) √(π/2)
(c) √(2/π)
(d) √π

B

Question.

(a) -π
(b) π
(c) 2/π
(d) 1

B

Question. Let [x] denote the greatest integer less than or equal to x. Then :

(a) does not exist
(b) equals π
(c) equals π + 1
(d) equals 0

A

Question.

(a) exists and equals 1/4√2
(b) exists and equals 1/( 2√2(√2 + 1) )
(c) exists and equals 1/2√2
(d) does not exist

A

Question. If α is the positive root of the equation, p(x) = x2 – x – 2 = 0, then

is equal to:
(a) 3/2
(b) 3/√2
(c) 1/√2
(d) 1/2

B

Question.

(a) is equal to √e
(b) is equal to 1
(c) is equal to 0
(d) does not exist

B

Question. For each x ∈ R, let [x] be greatest integer less than or equal to x. Then

(a) – sin 1
(b) 1
(c) sin 1
(d) 0

A

Question.

(a) 1
(b) 1/2
(c) 1/4
(d) 1/2

D

Question.

(a) 2
(b) 1/2
(c) 4
(d) 3

A

Question.

(a) 2
(b) 3
(c) 3/2
(d) 5/4

C

Question.

(a) 2
(b) 3/2
(c) 1/2
(d) 2/3

B

Question. If

then the values of α and b, are
(a) a = 1 and b = 2
(b) a =1,b ∈ R
(c) a ∈ R,b = 2
(d) a ∈ R,b ∈ R

B

Question.

then k is equal to:
(a) 0
(b) 1
(c) 2
(d) 3

D

Question. For each t ∈ R , let [t] be the greatest integer less than or equal to t. Then

(a) is equal to 15.
(b) is equal to 120.
(c) does not exist (in R).
(d) is equal to 0.

B

Question.

(a) − 1/3
(b) 1/6
(c) − 1/6
(d) 1/3

C

Question.

(a) 1/4
(b) 1/2
(c) 1
(d) 2

D

Question. Let [t] denote the greatest integer ≤ t. If for some

then L is equal to :
(a) 1
(b) 2
(c) 1/2
(d) 0

B

Question.

then the value of k is __________.

8

Question.

(a) – π
(b) 1
(c) – 1
(d) π

D

Question.

(a) equals 1
(b) equals 0
(c) does not exist
(d) equals – 1

B

Question. If α and β are the roots of the equation 375x2–25x–2=0, then

(a) 21/346
(b) 29/358
(c) 1/12
(d) 7/116

C

Question. Let ƒ : R → R be a differentiable function satisfying ƒ'(3) + ƒ'(2) = 0. Then

is equal to :
(a) 1
(b) e–1
(c) e
(d) e2

A

Question. Let f : R → R be a positive increasing function with

(a) 2/3
(b) 3/2
(c) 3
(d) 1

D

Question. Let ƒ(1) = –2 and ƒ'(x) ≥ 4.2 for 1 ≤ x ≤ 6 . The possible value of ƒ(6) lies in the interval :
(a) (15, 19)
(b) (– ∞ , 12)
(c) (12, 15)
(d) [19, ∞ )

D

Question. If f (x) = 3x10 – 7x8 + 5x6 – 21x3 + 3x2 – 7, then

(a) – 53/3
(b) 53/3
(c) – 55/3
(d) 55/3

B

Question. Let α and β be the distinct roots of ax2 + bx + c = 0 , then
(a) a2/2 (α – β)2
(b) 0
(c) -a2/2 (α – β)2
(d) 1/2 (α – β)2

A

Question.

(a) (2/3)4/3
(b) (2/3(2/3)1/3
(c) (2/9)4/3
(d) (2/9)(2/3)1/3

B

Question.

(a) 0
(b) 2
(c) 4
(d) 1

D

Question. For each t ∈ R, let [t] be the greatest integer less than or equal to t. Then,

(a) equals 1
(b) equals 0
(c) equals – 1
(d) does not exist

B

Question.

(a) 1/e
(b) 1/e2
(c) e2
(d) e

B

Question.

(a) 0
(b) 1/10
(c) 1/5
(d) – 1/10

A

Question.

(a) 1/2
(b) 1/4
(c) 2
(d) 1

A

Question.

36

Question.

(a) e4
(b) e2
(c) e3
(d) 1

A

Question.

(a) 1
(b) –1
(c) zero
(d) does not exist

D

Question. Let ƒ(x) = 5 – |x – 2| and g(x) = |x + 1| , x ∈ R. If ƒ(x) attains maximum value at α and g(x) attains minimum value at β, then

(a) 1/2
(b) –3/2
(c) –1/2
(d) 3/2

A

Question.

(a) 2
(b) – 1/2
(c) –2
(d) 1/2

C

Question. Let ƒ(x) = 4 and ƒ'(x) = 4. Then

is given by
(a) 2
(b) –2
(c) – 4
(d) 3

C

Question.

(a) –4
(b) 5
(c) –7
(d) 1

C

Question.

(a) 4√2
(b) 2
(c) 2√2
(d) 4

A

Question.

(a) ∞
(b) 1/8
(c) 0
(d) 1/32

D

Question.

([x] denotes greatest integer less than or equal to x)
(a) has value -1
(b) has value 0
(c) has value 1
(d) does not exist