CBSE Class 12 Application of Derivatives Multiple Choice Questions with Answers. MCQ Questions Class 12 Application of Derivatives with Answers Is Prepared Based on Latest Exam Pattern. Students can solve NCERT MCQ questions Class 12 Application of Derivatives with Answers to know their preparation level.
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MCQ Questions Class 12 Application of Derivatives with Answers - Set - 5
Question 1:
The total revenue in rupees received from the sale of x units of a product is given by R(x) = 3x2 + 36x + 5. The marginal revenue, when x = 15 is
(a) 116
(b) 96
(c) 90
(d) 126
Correct Answer – (D)
Question 2:
The rate of change of the area of a circle with respect to its radius r at r = 6 cm is
(a) 10p
(b) 12p
(c) 8p
(d) 11p
Correct Answer – (B)
Question 3:
A ladder, 5 meter long, standing on a horizontal floor, leans against a vertical wall. If the top of the ladder slides downwards at the rate of 10 cm/sec, then the rate at which the angle between the floor and the ladder is decreasing when lower end of ladder is 2 metres from the wall is
(a) 1/10 radian/sec
(b)1/20 radian/sec
(c) 20 radian/sec
(d) 10 radian/sec
Correct Answer – (B)
Question 4:
y = x (x – 3)2 decreases for the values of x given by
(a) 1 < x < 3
(b) x < 0
(c) x > 0
(d) 0 < x < 3/2
Correct Answer – (A)
Question 5:
The function /’defined by f(x) = 44 – 2x + 1 is increasing for
(a) x < 1
(b) x > 0
(c) x < 1/2
(d) x > 1/2
Correct Answer – (D)
MCQ Questions Class 12 Application of Derivatives With Answers
Question 6:
f(x) = xx has a stationary point at
(a) x = e
(b) x=1/ e
(c) x = 1
(d) x = e
Correct Answer – (B)
Question 7:
The curve y = x1/5 has at (0, 0)
(a) a vertical tangent (parallel to y-axis)
(b) a horizontal tangent (parallel to x-axis)
(c) an oblique tangent
(d) no tangent
Correct Answer – (A)
Question 8:
The abscissa of the point on the curve 3y = 6x – 5x3, the normal at which passes through origin is
(a) 1
(b) 1/3
(c) 2
(d) 1/2
Correct Answer – (A)
Question 9:
The interval in which the function y = x³ + 5x² – 1 is decreasing, is
(a) (0, 1/3)
(b) (0, 10)
(c) (−10/3, 0)
(d) None of these
Correct Answer – (C)
Question 10:
The function which is neither decreasing nor increasing in (π/2, 3π/2) is
(a) cosec x
(b) tan x
(c) x²
(d) |x – 1|
Correct Answer – (B)
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