CUET 2024 Maths Chapter 6 - Applications of Derivatives MCQs

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

1. Question

a.minimum

b.zero

c.maximum

d.neither maximum nor minimum

2. Question

a.b

b.c

c.d

d.a

3. Question

a.c

b.b

c.a

d.d

4. Question

a.0

b.1

c.6

d.-6

5. Question

a.Velocity

b.Retardation

c.Acceleration

d.Rotation

6. Question

a.0

b.5

c.4

d.2

7. Question

a.d

b.b

c.c

d.a

8. 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

9. Question

a.(-∞, 0)

b.(-∞, ∞)

c.None of these

d.(-1, ∞)

10. Question

a.(1, 2)

b.(1, -2)

c. (-1, 2)

d.(2, 1)

11. 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.3%

c.2%

d.4%

12. Question

a.b

b.c

c.a

d.d

13. Question

a.2a

b.3a

c.a

d.4a

14. Question

a. (3, 9)

b.(2, 4)

c.(6, 2)

d.(3, 9), (9, 3)

15. Question

a.[-2, -1]

b.[-1, ∞]

c.[-∞, -2]

d.[-1, 1]

16. Question

a.all values of x

b.x > 1

c.1 < x < 5

d.x < 1

17. Question

a.x + 5y = 2

b.x – 5y = 2

c.5x + y = 2

d.5x – y = 2

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

a.always increasing

b.None of these

c.always decreasing

d.increasing for certain range of x

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

a.is an increasing function

b.has a minimum at x = 3t

c.has a maximum, at x = 0

d.is a decreasing function

20. Question

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

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

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

d.(2, – 2), (- 2, -34)

21. Question

a.b

b.c

c.a

d.d

22. Question

a.an even function

b.None of these

c.a decreasing function

d.an increasing function

23. Question

a.an oblique tangent

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

c.no tangent

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

24. Question

a.160

b.126

c.0

d.135

25. Question

a.d

b.b

c.a

d.c

26. Question

a.a

b.b

c.d

d.c

27. The function f(x) = tan x – x

a.never increases

b.always decreases

c.sometimes increases and sometimes decreases

d.always increases

28. Question

a.c

b.b

c.a

d.d

29. Question

a.c

b.d

c.a

d.b

30. Question

a.(e, ∞)

b.(0, ∞)

c.(0, e)

d.None of these

31. Question

a.cos x

b.sin 2x

c. cos 3x

d.tan x

32. Question

a.λ < 4

b.λ < 1

c.λ > 1

d. λ > 4

33. Question

a.0.032

b.5.968

c.0.32

d.5.68

34. Question

a.a

b.d

c.c

d.b

35. 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

36. Question

a.(1, ∞)

b.(-1, ∞)

c.(-∞, ∞)

d.(0, ∞)

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

a.proportional to the radius

b.a constant

c.inversely proportional to the radius

d.inversely proportional to the surface area

38. Question

a.d

b.b

c.a

d.c

39. Question

a.a

b.b

c.d

d.c

40. Question

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

b.f(x) is an increasing function

c.g (x) is an increasing function

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

41. Question

a.2

b.1

c.0

d.-1

42. 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.10 radiah/sec

c.110 radian/sec

d.120 radian/sec

43. Question

a.one maxima and one minima

b.no maxima or minima

c.two points of local minimum

d.two points of local maximum

44. Question

a.3x – y = 8

b.x + 3y ± 8 = 0

c.3x + y + 8 = 0

d.x + 3y = 0

45. Question

a.d

b.b

c.a

d.c

46. Question

a.a

b.b

c.d

d.c

47. Question

a.(-∞, -1) ∩ (3, ∞)

b.(3, ∞)

c.(1, 3)

d.None of these

48. Question

a.c

b.b

c.a

d.d

49. Question

a.a

b.b

c.d

d.c

50. Question

a.0

b.16

c.12

d.32

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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