CUET 2024 Maths Chapter 6 - Applications of Derivatives MCQs

Maths Chapter 6 – Applications of Derivatives MCQ Question Answers for CUET 2024

1. Question

a.(2, – 2), (- 2, -34)

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

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

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

2. Question

a.4

b.2

c.5

d.0

3. Question

a.(0, ∞)

b.(-∞, ∞)

c.(1, ∞)

d.(-1, ∞)

4. 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 radius

b.proportional to the radius

c.inversely proportional to the surface area

d.a constant

5. Question

a.c

b.a

c.b

d.d

6. Question

a.6

b.0

c.1

d.-6

7. Question

a.an increasing function

b.a decreasing function

c.an even function

d.None of these

8. Question

a.x + 5y = 2

b.5x + y = 2

c.x – 5y = 2

d.5x – y = 2

9. Question

a.0

b.2

c.1

d.-1

10. 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.20 radiah/sec

b.110 radian/sec

c.120 radian/sec

d.10 radiah/sec

11. Question

a.b

b.c

c.d

d.a

12. Question

a.135

b.160

c.126

d.0

13. Question

a.b

b.d

c.c

d.a

14. Question

a.neither maximum nor minimum

b.zero

c.minimum

d.maximum

15. Question

a.None of these

b.(1, 3)

c.(-∞, -1) ∩ (3, ∞)

d.(3, ∞)

16. 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

17. Question

a.c

b.b

c.d

d.a

18. Question

a.0

b.16

c.12

d.32

19. Question

a.b

b.c

c.d

d.a

20. Question

a.c

b.b

c.d

d.a

21. Question

a.all values of x

b.x < 1

c.1 < x < 5

d.x > 1

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

a.4%

b.2%

c.1%

d.3%

23. Question

a.Retardation

b.Velocity

c.Acceleration

d.Rotation

24. Question

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

b.no tangent

c.an oblique tangent

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

25. Question

a.x + 3y ± 8 = 0

b.x + 3y = 0

c.3x – y = 8

d.3x + y + 8 = 0

26. Question

a. (-1, 2)

b.(1, 2)

c.(1, -2)

d.(2, 1)

27. Question

a.None of these

b.(-∞, 0)

c.(-1, ∞)

d.(-∞, ∞)

28. Question

a.two points of local maximum

b.one maxima and one minima

c.no maxima or minima

d.two points of local minimum

29. Question

a.d

b.c

c.a

d.b

30. Question

a.[-2, -1]

b.[-1, 1]

c.[-∞, -2]

d.[-1, ∞]

31. Question

a.d

b.c

c.a

d.b

32. Question

a.d

b.b

c.a

d.c

33. Question

a.d

b.b

c.a

d.c

34. Question

a.2a

b.3a

c.4a

d.a

35. Question

a.d

b.b

c.c

d.a

36. Question

a. λ > 4

b.λ > 1

c.λ < 4

d.λ < 1

37. Question

a.d

b.b

c.a

d.c

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

a.has a maximum, at x = 0

b.has a minimum at x = 3t

c.is an increasing function

d.is a decreasing function

39. Question

a.b

b.c

c.d

d.a

40. Question

a.cos x

b. cos 3x

c.sin 2x

d.tan x

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

a.has a maximum, at x = 0

b.has a minimum at x = 3t

c.is an increasing function

d.is a decreasing function

42. Question

a.a

b.b

c.d

d.c

43. Question

a.c

b.a

c.b

d.d

44. Question

a.(e, ∞)

b.(0, ∞)

c.None of these

d.(0, e)

45. Question

a.d

b.c

c.a

d.b

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

a.always decreasing

b.always increasing

c.increasing for certain range of x

d.None of these

47. The function f(x) = tan x – x

a.sometimes increases and sometimes decreases

b.always increases

c.never increases

d.always decreases

48. Question

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

b.f(x) is an increasing function

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

d.g (x) is an increasing function

49. Question

a.0.032

b.0.32

c.5.68

d.5.968

50. Question

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

b. (3, 9)

c.(6, 2)

d.(2, 4)

Also See :

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

CUET 2024 Maths Chapter 6 – Applications of Derivatives MCQ Question and Answers – MCQs for Practice

Maths Chapter 6 – Applications of Derivatives MCQ Question Answers for CUET 2024

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