MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives with Answers Set-B

Application of Derivatives Class 12 Maths MCQs Questions 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.

Class 12 Maths Chapter 6 Quiz

Class 12 Maths Chapter 6 MCQ Online Test

You can refer to NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Application of Derivatives Class 12 Maths MCQ online test

Q1.	The maximum value of sin x . cos x is
	A. \(\frac{1}{4}\)
	B. \(\frac{1}{2}\)
	C. √2
	D. 2√2

Ans: \(\frac{1}{2}\)

Q2.	At x = \(\frac{5π}{6}\), f (x) = 2 sin 3x + 3 cos 3x is
	A. maximum
	B. minimum
	C. zero
	D. neither maximum nor minimum

Ans: neither maximum nor minimum

Q3.	Maximum slope of the curve y = -x³ + 3x² + 9x – 27 is
	A. 0
	B. 12
	C. 16
	D. 32

Ans: 0

Q4.	f(x) = x^x has a stationary point at
	A. x = e
	B. x = \(\frac{1}{e}\)
	C. x = 1
	D. x = √e

Ans: x = \(\frac{1}{e}\)

Q5.	The maximum value of (\(\frac{1}{x}\))^x is
	A. e
	B. e²
	C. e^1/x
	D. (\(\frac{1}{e}\))^1/e

Ans: (\(\frac{1}{e}\))^1/e

Q6.	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

Ans: inversely proportional to the surface area

Q7.	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

Ans: acceleration

Q8.	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. \(\frac{3}{4}\) s
	C. \(\frac{4}{3}\) s
	D. 4 s

Ans: \(\frac{4}{3}\) s

Q9.	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\(\sqrt{b^2+c^2}\)

Ans: 2\(\sqrt{b^2+c^2}\)

Q10.	The function f(x) = log (1 + x) – \(\frac{2x}{2+x}\) is increasing on
	A. (-1, ∞)
	B. (-∞, 0)
	C. (-∞, ∞)
	D. None of these

Ans: (-1, ∞)

Q11.	f(x) = (\(\frac{e^{2x}-1}{e^{2x}+1}\)) is
	A. an increasing function
	B. a decreasing function
	C. an even function
	D. None of these

Ans: an increasing function

Q12.	If f (x) = \(\frac{x}{sin x}\) and g (x) = \(\frac{x}{tan x}\), 0 < x ≤ 1, then in the interval
	A. both f (x) and g (x) are increasing functions
	B. both f (x) and g (x) are decreasing functions
	C. f(x) is an increasing function
	D. g (x) is an increasing function

Ans: f(x) is an increasing function

Q13.	The function f(x) = cot^-1 x + x increases in the interval
	A. (1, ∞)
	B. (-1, ∞)
	C. (0, ∞)
	D. (-∞, ∞)

Ans: (-∞, ∞)

Q14.	The function f(x) = \(\frac{x}{log x}\) increases on the interval
	A. (0, ∞)
	B. (0, e)
	C. (e, ∞)
	D. None of these

Ans: (e, ∞)

Q15.	The value of b for which the function f (x) = sin x – bx + c is decreasing for x ∈ R is given by
	A. b < 1
	B. b ≥ 1
	C. b > 1
	D. b ≤ 1

Ans: b > 1

Q16.	If f (x) = x³ – 6x² + 9x + 3 be a decreasing function, then x lies in
	A. (-∞, -1) ∩ (3, ∞)
	B. (1, 3)
	C. (3, ∞)
	D. None of these

Ans: (1, 3)

Q17.	The function f (x) = 1 – x³ – x⁵ is decreasing for
	A. 1 < x < 5
	B. x < 1
	C. x > 1
	D. all values of x

Ans: all values of x

Q18.	Function, f (x) = \(\frac{λ sin x+ 6 cos x}{2 sin x + 3 cos x}\) is monotonic increasing, if
	A. λ > 1
	B. λ < 1
	C. λ < 4
	D. λ > 4

Ans: λ > 4

Q19.	The length of the longest interval, in which the function 3 sin x – 4 sin³ x is increasing is
	A. \(\frac{π}{3}\)
	B. \(\frac{π}{2}\)
	C. \(\frac{3π}{2}\)
	D. π

Ans: π

Q20.	2x³ – 6x + 5 is an increasing function, if
	A. 0 < x < 1
	B. -1 < x < 1
	C. x < -1 or x > 1
	D. -1 < x < –\(\frac{1}{2}\)

Ans: x < -1 or x > 1

MCQ Questions for Class 12 Maths

NCERT Solution of Maths Class 12

Class 12 Maths

NCERT SOLUTIONS FOR CLASS 12

MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives with Answers

MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives with Answers Set-B

Application of Derivatives Class 12 Maths MCQs Questions with Answers

Class 12 Maths Chapter 6 Quiz

Class 12 Maths Chapter 6 MCQ Online Test

Application of Derivatives Class 12 Maths MCQ online test

MCQ Questions for Class 12 Maths

NCERT Solution of Maths Class 12

Class 12 Maths

NCERT Solution of Maths Class 12 Chapter 1

NCERT Solution of Maths Class 12 Chapter 2

NCERT Solution of Maths Class 12 Chapter 3

NCERT Solution of Maths Class 12 Chapter 4

NCERT Solution of Maths Class 12 Chapter 5

NCERT Solution of Maths Class 12 Chapter 6

NCERT Solution of Maths Class 12 Chapter 7

NCERT Solution of Maths Class 12 Chapter 8

NCERT Solution of Maths Class 12 Chapter 9

NCERT Solution of Maths Class 12 Chapter 10

NCERT Solution of Maths Class 12 Chapter 11

NCERT Solution of Maths Class 12 Chapter 12

NCERT Solution of Maths Class 12 Chapter 13

MCQ QUESTIONS WITH ANSWER

NCERT SOLUTIONS FOR CLASS 12

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