Limits and Derivatives VBQs Class 11 Mathematics

VBQs for Class 11

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.

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

C

Question.

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

D

Question.

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

D

Question.

Limits and Derivatives VBQs Class 11 Mathematics

(a) √3
(b) 1/√2
(c) √3/2
(d) 1/2√2

Answer

B

Question.

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

B

Question.

Limits and Derivatives VBQs Class 11 Mathematics

(a) 8/3
(b) 3/8
(c)3/2
(d) 4/3

Answer

A

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

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

D

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

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

A

Question.

Limits and Derivatives VBQs Class 11 Mathematics

(a) 4
(b) 4√2
(c) 8√2
(d) 8

Answer

D

Question.

Limits and Derivatives VBQs Class 11 Mathematics

 then the value of n is equal to ________.

Answer

40

Question.

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

D

Question. 

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

B

Question.

Limits and Derivatives VBQs Class 11 Mathematics

(a) -π
(b) π
(c) 2/π
(d) 1

Answer

B

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

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

A

Question.

Limits and Derivatives VBQs Class 11 Mathematics

(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

Answer

A

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

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

B

Question.

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

B

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

Limits and Derivatives VBQs Class 11 Mathematics

(a) – sin 1
(b) 1
(c) sin 1
(d) 0

Answer

A

Question.

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

D

Question. 

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

A

Question.

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

C

Question. 

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

B

Question. If

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

B

Question.

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

D

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

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

B

Question.

Limits and Derivatives VBQs Class 11 Mathematics

(a) − 1/3
(b) 1/6
(c) − 1/6
(d) 1/3

Answer

C

Question.

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

D

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

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

B

Question.

Limits and Derivatives VBQs Class 11 Mathematics

then the value of k is __________.

Answer

8

Question.

Limits and Derivatives VBQs Class 11 Mathematics

(a) – π
(b) 1
(c) – 1
(d) π

Answer

D

Question.

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

B

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

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

C

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

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

A

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

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

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, ∞ )

Answer

D

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

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

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

Answer

A

Question.

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

B

Question.

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

D

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

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

B

Question.

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

B

Question.

Limits and Derivatives VBQs Class 11 Mathematics

(a) 0
(b) 1/10
(c) 1/5
(d) – 1/10

Answer

A

Question.

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

A

Question.

Limits and Derivatives VBQs Class 11 Mathematics
Answer

36

Question.

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

A

Question. 

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

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

Limits and Derivatives VBQs Class 11 Mathematics

(a) 1/2
(b) –3/2
(c) –1/2
(d) 3/2

Answer

A

Question.

Limits and Derivatives VBQs Class 11 Mathematics

(a) 2
(b) – 1/2
(c) –2
(d) 1/2

Answer

C

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

Limits and Derivatives VBQs Class 11 Mathematics

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

Answer

C

Question.

Limits and Derivatives VBQs Class 11 Mathematics

(a) –4
(b) 5
(c) –7
(d) 1

Answer

C

Question. 

Limits and Derivatives VBQs Class 11 Mathematics

(a) 4√2
(b) 2
(c) 2√2
(d) 4

Answer

A

Question.

Limits and Derivatives VBQs Class 11 Mathematics

(a) ∞
(b) 1/8
(c) 0
(d) 1/32

Answer

D

Question.

Limits and Derivatives VBQs Class 11 Mathematics

 ([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

Answer

D