Applications of Derivatives MCQs | Class 12 Maths Chapter 6 MCQ Question and Answers

Applications of Derivatives MCQ Question Answers for CUET 2025 from Class 12 Maths Chapter 6

To score full marks in the CUET 2025 Maths exam, Practice Class 12 Maths Chapter 6 Applications of Derivatives MCQ Test any number of times free on our website. These questions have been created by our experts from the latest Class 12 Maths Syllabus and as per latest exam pattern. Multiple Choice Questions (MCQs) are a type of objective assessment in which a person is asked to choose one or more correct answers from a list of available options. An MCQ presents a question along with several possible answers. Most of the exams in India including CUET exam conduct online test to check your knowledge

Class 12 Maths Chapter 6 MCQs

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1. If there is an error of 2% in measuring the length of a simple pendulum, then percentage error in its period is

a.1%

b.2%

c.4%

d.3%

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2. Question

a.(-∞, ∞)

b.(-1, ∞)

c.(0, ∞)

d.(1, ∞)

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3. Question

a.x + 3y ± 8 = 0

b.x + 3y = 0

c.3x + y + 8 = 0

d.3x – y = 8

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4. Question

a.Acceleration

b.Rotation

c.Velocity

d.Retardation

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5. Question

a.d

b.b

c.a

d.c

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6. Question

a.None of these

b.(3, ∞)

c.(1, 3)

d.(-∞, -1) ∩ (3, ∞)

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7. Question

a.(-∞, ∞)

b.(-1, ∞)

c.(-∞, 0)

d.None of these

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8. Question

a.135

b.160

c.126

d.0

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9. Question

a.c

b.b

c.a

d.d

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10. Question

a.1 < x < 5

b.x < 1

c.all values of x

d.x > 1

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11. Question

a.an even function

b.None of these

c.an increasing function

d.a decreasing function

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12. Question

a.a

b.c

c.b

d.d

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13. Question

a.c

b.b

c.a

d.d

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14. Question

a.d

b.b

c.c

d.a

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15. Question

a.c

b.d

c.a

d.b

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16. Question

a.[-2, -1]

b.[-1, 1]

c.[-∞, -2]

d.[-1, ∞]

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17. Question

a.2a

b.3a

c.4a

d.a

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18. Question

a.two points of local minimum

b.two points of local maximum

c.one maxima and one minima

d.no maxima or minima

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19. Question

a.5x + y = 2

b.x – 5y = 2

c.5x – y = 2

d.x + 5y = 2

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

a.inversely proportional to the surface area

b.proportional to the radius

c.a constant

d.inversely proportional to the radius

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21. Question

a.a

b.b

c.c

d.d

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22. Question

a.5.968

b.5.68

c.0.032

d.0.32

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23. Question

a.c

b.a

c.b

d.d

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24. Question

a.d

b.c

c.b

d.a

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

a.is a decreasing function

b.is an increasing function

c.has a maximum, at x = 0

d.has a minimum at x = 3t

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26. Question

a.b

b.d

c.a

d.c

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27. Question

a.d

b.a

c.c

d.b

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28. The function f(x) = tan x – x

a.always increases

b.never increases

c.always decreases

d.sometimes increases and sometimes decreases

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29. Question

a.(2, 1)

b.(1, 2)

c. (-1, 2)

d.(1, -2)

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30. Question

a.d

b.b

c.a

d.c

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31. 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

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32. Question

a.-6

b.0

c.1

d.6

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33. Question

a.0

b.-1

c.2

d.1

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34. Question

a.both f (x) and g (x) are decreasing functions

b.g (x) is an increasing function

c.both f (x) and g (x) are increasing functions

d.f(x) is an increasing function

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35. Question

a.(2, – 2), (- 2, -34)

b. (0, 34), (-2, 0)

c.(2, 34), (- 2, 0)

d.(2, 2), (-2, 34)

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36. Question

a.λ < 1

b.λ > 1

c. λ > 4

d.λ < 4

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

a.is a decreasing function

b.has a maximum, at x = 0

c.is an increasing function

d.has a minimum at x = 3t

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38. Question

a.an oblique tangent

b.a horizontal tangent (parallel to x-axis)

c.a vertical tangent (parallel to y-axis)

d.no tangent

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39. Question

a.sin 2x

b.tan x

c. cos 3x

d.cos x

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40. Question

a.maximum

b.minimum

c.zero

d.neither maximum nor minimum

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41. Question

a.2

b.0

c.4

d.5

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42. Question

a.32

b.0

c.16

d.12

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43. Question

a.(3, 9), (9, 3)

b. (3, 9)

c.(6, 2)

d.(2, 4)

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44. 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.110 radian/sec

b.10 radiah/sec

c.120 radian/sec

d.20 radiah/sec

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45. The function f(x) = x + cos x is

a.always increasing

b.increasing for certain range of x

c.always decreasing

d.None of these

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46. Question

a.(e, ∞)

b.(0, ∞)

c.None of these

d.(0, e)

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47. Question

a.b

b.d

c.c

d.a

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48. Question

a.b

b.c

c.d

d.a

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49. Question

a.d

b.b

c.a

d.c

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50. Question

a.a

b.c

c.d

d.b

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To summarize, revising for free using our MCQs on Class 12 Maths Chapter 6 Applications of Derivatives is highly beneficial for scoring full marks on the CUET 2025 Maths exam. We provide a sophisticated online test platform tailored for unlimited practice through proficiently crafted questions built on the most recent syllabus and exam pattern. Practicing MCQs regularly will boost conceptual understanding as they are significant for objective assessments. Start practicing now to succeed in your CUET 2025 Maths exam!

Also See :

• Relations and Functions MCQs Class 12 Chapter 1
• Inverse Trigonometric Functions MCQs Class 12 Chapter 2
• Matrices MCQs Class 12 Chapter 3
• Determinants MCQs Class 12 Chapter 4
• Continuity and Differentiability MCQs Class 12 Chapter 5
• Integrals MCQs Class 12 Chapter 7
• Application of the Integrals MCQs Class 12 Chapter 8
• Differential Equations MCQs Class 12 Chapter 9
• Vectors MCQs Class 12 Chapter 10
• Three Dimensional Geometry MCQs Class 12 Chapter 11
• Linear Programming MCQs Class 12 Chapter 12
• Multiplication Theorem Probability MCQs Class 12 Chapter 13