CUET 2024 Maths Chapter 6 - Applications of Derivatives MCQs

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

1. Question

a.a

b.d

c.c

d.b

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

a.is an increasing function

b.is a decreasing function

c.has a minimum at x = 3t

d.has a maximum, at x = 0

3. Question

a.(2, 1)

b.(1, -2)

c. (-1, 2)

d.(1, 2)

4. Question

a.b

b.a

c.c

d.d

5. Question

a.a

b.c

c.b

d.d

6. Question

a.a decreasing function

b.an increasing function

c.an even function

d.None of these

7. Question

a.c

b.d

c.a

d.b

8. Question

a.no tangent

b.an oblique tangent

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

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

9. 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

10. Question

a.x – 5y = 2

b.5x + y = 2

c.5x – y = 2

d.x + 5y = 2

11. Question

a.a

b.d

c.c

d.b

12. Question

a.(1, 3)

b.(3, ∞)

c.None of these

d.(-∞, -1) ∩ (3, ∞)

13. Question

a.0

b.5

c.4

d.2

14. Question

a.0

b.2

c.-1

d.1

15. Question

a.a

b.b

c.d

d.c

16. Question

a.d

b.a

c.b

d.c

17. Question

a.maximum

b.neither maximum nor minimum

c.minimum

d.zero

18. Question

a.(1, ∞)

b.(-∞, ∞)

c.(0, ∞)

d.(-1, ∞)

19. Question

a.c

b.d

c.a

d.b

20. Question

a.d

b.c

c.a

d.b

21. Question

a.5.968

b.5.68

c.0.32

d.0.032

22. Question

a.one maxima and one minima

b.two points of local minimum

c.no maxima or minima

d.two points of local maximum

23. 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.120 radian/sec

b.20 radiah/sec

c.10 radiah/sec

d.110 radian/sec

24. Question

a.d

b.a

c.c

d.b

25. Question

a.(0, ∞)

b.(e, ∞)

c.None of these

d.(0, e)

26. Question

a.Retardation

b.Velocity

c.Rotation

d.Acceleration

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

a.has a minimum at x = 3t

b.is a decreasing function

c.is an increasing function

d.has a maximum, at x = 0

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

a.always increasing

b.always decreasing

c.None of these

d.increasing for certain range of x

29. Question

a.3x – y = 8

b.x + 3y ± 8 = 0

c.x + 3y = 0

d.3x + y + 8 = 0

30. Question

a.0

b.135

c.160

d.126

31. Question

a.6

b.-6

c.1

d.0

32. Question

a.λ < 4

b. λ > 4

c.λ < 1

d.λ > 1

33. Question

a.1 < x < 5

b.x < 1

c.all values of x

d.x > 1

34. Question

a.(2, 4)

b.(3, 9), (9, 3)

c.(6, 2)

d. (3, 9)

35. Question

a.32

b.12

c.0

d.16

36. Question

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

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

c.(2, – 2), (- 2, -34)

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

37. Question

a.d

b.b

c.c

d.a

38. Question

a.2a

b.a

c.4a

d.3a

39. Question

a.b

b.c

c.a

d.d

40. 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.4%

c.3%

d.2%

41. 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.inversely proportional to the radius

d.a constant

42. Question

a.a

b.d

c.c

d.b

43. Question

a.cos x

b. cos 3x

c.tan x

d.sin 2x

44. Question

a.c

b.b

c.d

d.a

45. Question

a.(-1, ∞)

b.(-∞, 0)

c.(-∞, ∞)

d.None of these

46. Question

a.[-∞, -2]

b.[-1, 1]

c.[-2, -1]

d.[-1, ∞]

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.a

b.c

c.d

d.b

49. Question

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

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

c.g (x) is an increasing function

d.f(x) is an increasing function

50. Question

a.a

b.c

c.b

d.d

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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