# MCQ on Class 12 Maths Chapter 6 Application of Derivatives with Answers

Check the below NCERT MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives with Answers Pdf free download. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. We have provided Application of Derivatives Class 12 Maths MCQs Questions with Answers to help students understand the concept very well.

## Q.1 The area of a right-angled triangle of the given hypotenuse is maximum when the triangle is

(a) scalene
(b) equilateral
(c) isosceles
(d) None of these

## Q.2 The function f(x) = x + cos x is

(a) always increasing
(b) always decreasing
(c) increasing for certain range of x
(d) None of these

(a) 9√3
(b) 8√3
(c) 4√3
(d) 7√3

(a) x = 0
(b) x + y = 0
(c) y = 0
(d) x – y = 0

## Q.5 Let the f: R → R be defined by f (x) = 2x + cos x, then f

(a) has a minimum at x = 3t
(b) has a maximum, at x = 0
(c) is a decreasing function
(d) is an increasing function

(a) 80π cu m/s
(b) 144π cu m/s
(c) 80 cu m/s
(d) 64 cu m/s

(a) 10π
(b) 12π
(c) 8π
(d) 11π

## Q.8 A cylindrical tank of radius 10 mis being filled with wheat at the rate of 314 cubic m per minute. Then the depth of the wheat is increasing at the rate of:

(a) 1 m/minute
(b) 0 × 1 m/minute
(c) 1 × 1 m/minute
(d) 0 × 5 m/minute

## Q.9 The function f(x) = tan x – x

(a) always increases
(b) always decreases
(c) sometimes increases and sometimes decreases
(d) never increases

## Q.10 If the volume of a sphere is increasing at a constant rate, then the rate at which its radius is increasing is

(a) a constant
(c) inversely proportional to the radius
(d) inversely proportional to the surface area

## Q.11 The point(s) on the curve y = x², at which y-coordinate is changing six times as fast as x-coordinate is/are

(a) (2, 4)
(b) (3, 9)
(c) (3, 9), (9, 3)
(d) (6, 2)

(a) x = 0
(b) y = 0
(c) x + y = 0
(d) x – y = 0

(a) 10 cm²/s
(b) √3 cm²/s
(c) 10√3 cm²/s
(d) 103cm²/s

## Q.14 The real number k for which the equation 2x³ + 3x + k = 0 has two distinct real roots in [0,1]:

(a) lies between 2 and 3
(b) lies between -1 and 0
(c) does not exist
(d) lies between 1 and 2

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

(a) 126
(b) 116
(c) 96
(d) 90

## Q.17 If f and g are differentiable functions on [0, 1] satisfying f(0) = 2 = g(l), g(0) = 0 and f(1) = 6, then for some c ∈ ] 0, 1 [:

(a) 2f'(c) = 3g'(c)
(b) f'(c) = g'(c)
(c) f'(c) = 2g'(c)
(d) 2f'(c) = g'(c)

(a) x = 0
(b) y = 0
(c) x + y = 0
(d) x – y = 0

(a) (-1, 2)
(b) (1, 2)
(c) (1, -2)
(d) (2, 1)

(a) 1
(b) 0
(c) -6
(d) 6

(a) 25
(b) 30
(c) 12.5
(d) 10

﻿

Scroll to Top