# Class 12 Math Chapter 6 MCQ Question Answer – Application of Derivatives NCERT Solution

NCERT Class 12 Math Application of Derivatives Chapter 6 MCQ Question Answer for Preparation of Exams. Here we Provide Class 12 Math Question Answer, Important Questions, MCQ for Various State Boards Students like CBSE, Haryana, uttar pradesh, mp and other state students.

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NCERT Class 12 Math Chapter 6 Application of Derivatives MCQ Question Answer Solution.

## Application of Derivatives Class 12 Math Chapter 6 MCQ Question Answer

Multiple Choice Questions and Answer for Easy to Understand the Chapter.

1. The rate of change of the area of a circle per second with respect to its radius r when r = 5cm is
(A) 8π cm2/s
(B) 10π cm2/s
(C) 16π cm2/s
(D) 3π cm2/s

Ans. (B) 10π cm2/s

2. The interval in which y = x2e-x is increasing in
(A) ( -∞, ∞)
(B) (-2, 0)
(C) (2, ∞)
(D) (0, 2)

Ans. (D) (0, 2)

3. The slope of the tangent to the curve y = x3 – x at x = 2 is
(A) 9
(B) 10
(C) 11
(D) 12

Ans. (C) 11

4. The slope of the normal to the curve y = 2x2 + 3sinx at x = 0 is
(A) 3
(B) 1/3
(C) -3
(D) -1/3

Ans. (D) -1/3

5. The line y = x + 1 is a tangent to the curve y2 = 4x at the point
(A) (1, 2)
(B) (2, 1)
(C) (1, -2)
(D) (-1, 2)

Ans. (A) (1, 2)

6. The approximate change in the volume of a cube of side x metres caused by increasing the side by 3% is
(A) 0.06 x3 m3
(B) 0.6 x3 m3
(C) 0.09 x3 m3
(D) 0.9 x3 m3

Ans. (C) 0.09 x3 m3

7. f(x) = x3 − 3x + 4 has a maxima at x is equal to :
(A) -1
(B) 1
(C) 0
(D) None of the above

Ans. (A) -1

8. f (x) = log(sinx) is strictly decreasing in interval :
(A) ( 0, π/2 )
(B) ( π/2, π )
(C) ( 0, π )
(D) None of the above

Ans. (B) ( π/2, π )

9. f (x) = sin x + cos x has a local maxima at x is equal to :
(A) 0
(B) π/6
(C) π/4
(D) π/2

Ans. (C) π/4

10. f (x) = log(sinx) is strictly increasing in the interval :
(A) ( 0, π/2 )
(B) ( π/2, π )
(C) ( 0, π )
(D) None of the above

Ans. (A) ( 0, π/2 )

11. The function f (x) = sin x − cos x, 0 < x < 2π has a local maxima at x is equal to :
(A) π/4
(B) 3π/4
(C) 5π/4
(D) None of the above

Ans. (B) 3π/4

12. f (x) = log(cos x) is strictly increasing in the interval :
(A) ( 0, π/2 )
(B) ( -π/2, π/2 )
(C) ( 0, π )
(D) None of the above

Ans. (D) None of the above

13. f (x) = cos x − sin x has a local maxima at x is equal to :
(A) π/4
(B) 3π/4
(C) 5π/4
(D) 7π/4