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 

MCQ Questions for Class12 Maths Chapter 6 Application of Derivatives

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) = xx 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.
C. e1/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 Solution of Maths Class 12 Chapter 1

    MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions Set-A
    MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions Set-B
    MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions Set-C

NCERT Solution of Maths Class 12 Chapter 2

    MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-A
    MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-B
    MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-C
    MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-D

NCERT Solution of Maths Class 12 Chapter 3

    MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-A
    MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-B
    MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-C
    MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-D

NCERT Solution of Maths Class 12 Chapter 4

    MCQ Questions for Class 12 Maths Chapter 4 Determinants Set-A
    MCQ Questions for Class 12 Maths Chapter 4 Determinants Set-B
    MCQ Questions for Class 12 Maths Chapter 4 Determinants Set-C

NCERT Solution of Maths Class 12 Chapter 5

    MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-A
    MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-B
    MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-C
    MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-D

NCERT Solution of Maths Class 12 Chapter 6

    MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives Set-A
    MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives Set-B
    MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives Set-C

NCERT Solution of Maths Class 12 Chapter 7

    MCQ Questions for Class 12 Maths Chapter 7 Integrals Set-A
    MCQ Questions for Class 12 Maths Chapter 7 Integrals Set-B
    MCQ Questions for Class 12 Maths Chapter 7 Integrals Set-C

NCERT Solution of Maths Class 12 Chapter 8

    MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals Set-A
    MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals Set-B

NCERT Solution of Maths Class 12 Chapter 9

    MCQ Questions for Class 12 Maths Chapter 9 Differential Equations Set-A
    MCQ Questions for Class 12 Maths Chapter 9 Differential Equations Set-B

NCERT Solution of Maths Class 12 Chapter 10

    MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-A
    MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-B
    MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-C
    MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-D

NCERT Solution of Maths Class 12 Chapter 11

    MCQ Questions for Class 12 Maths Chapter 11 Three Dimensional Geometry Set-A
    MCQ Questions for Class 12 Maths Chapter 11 Three Dimensional Geometry Set-B

NCERT Solution of Maths Class 12 Chapter 12

    MCQ Questions for Class 12 Maths Chapter 12 Linear Programming Set-A

NCERT Solution of Maths Class 12 Chapter 13

    MCQ Questions for Class 12 Maths Chapter 13 Probability Set-A
    MCQ Questions for Class 12 Maths Chapter 13 Probability Set-B

NCERT SOLUTIONS FOR CLASS 12

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