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 - 3
Question 1:
The function f(x) = log (1 + x) – (2x/(2+x)) is increasing on
(a) (-1, ∞)
(b) (-∞, 0)
(b) (-∞, ∞)
(d) None of these
Correct Answer – (A)
Question 2:
The distance Y metres covered by a body in t seconds, is given by s = 3t² – 8t + 5. The body will stop after
(a) 1 s
(b) 34 s
(c) 43 s
(d) 4 s
Correct Answer – (C)
Question 3:
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
(b) proportional to the radius
(c) inversely proportional to the radius
(d) inversely proportional to the surface area
Correct Answer – (D)
Question 4:
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 5:
At x = 5π/6, f (x) = 2 sin 3x + 3 cos 3x is
(a) maximum
(b) minimum
(c) zero
(d) neither maximum nor minimum
Correct Answer – (D)
MCQ Questions Class 12 Application of Derivatives With Answers
Question 6:
The position of a point in time Y is given by x = a + bt + ct², y = at + bt². Its acceleration at timet Y is
(a) b – c
(b) b + c
(c) 2b – 2c
(d) 2√(b2 + c2)
Correct Answer – (A)
Question 7:
A particle is moving along the curve x = at² + bt + c. If ac = b², then particle would be moving with uniform
(a) rotation
(b) velocity
(c) acceleration
(d) retardation
Correct Answer – (C)
Question 8:
The maximum value of (1/x)x is
(a) e
(b) e²
(c) e1/x
(d) (1/e)1/e
Correct Answer – (D)
Question 9:
Maximum slope of the curve y = -x³ + 3x² + 9x – 27 is
(a) 0
(b) 12
(c) 16
(d) 32
Correct Answer – (A)
Question 10:
The maximum value of sin x . cos x is
(a) 1/4
(b) 1/2
(c) √2
(d) 2√2
Correct Answer – (B)
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