CUET 2024 Maths Chapter 6 - Applications of Derivatives MCQs

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

1. Question

a.0

b.5

c.2

d.4

2. Question

a.a

b.c

c.b

d.d

3. Question

a.(1, 2)

b.(1, -2)

c. (-1, 2)

d.(2, 1)

4. Question

a.a

b.b

c.c

d.d

5. Question

a.5x – y = 2

b.x – 5y = 2

c.x + 5y = 2

d.5x + y = 2

6. Question

a.[-2, -1]

b.[-∞, -2]

c.[-1, 1]

d.[-1, ∞]

7. Question

a.d

b.a

c.c

d.b

8. Question

a.c

b.a

c.b

d.d

9. Question

a.None of these

b.(1, 3)

c.(-∞, -1) ∩ (3, ∞)

d.(3, ∞)

10. 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

11. Question

a.0.032

b.5.68

c.0.32

d.5.968

12. Question

a.(e, ∞)

b.None of these

c.(0, ∞)

d.(0, e)

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

a.has a maximum, at x = 0

b.is a decreasing function

c.has a minimum at x = 3t

d.is an increasing function

14. Question

a.3a

b.2a

c.a

d.4a

15. Question

a.6

b.-6

c.1

d.0

16. Question

a.1 < x < 5

b.x > 1

c.x < 1

d.all values of x

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

a.has a maximum, at x = 0

b.is a decreasing function

c.has a minimum at x = 3t

d.is an increasing function

18. Question

a.b

b.c

c.d

d.a

19. Question

a. cos 3x

b.sin 2x

c.tan x

d.cos x

20. Question

a.d

b.a

c.b

d.c

21. The function f(x) = tan x – x

a.always increases

b.sometimes increases and sometimes decreases

c.always decreases

d.never increases

22. Question

a.d

b.a

c.c

d.b

23. Question

a.b

b.a

c.c

d.d

24. Question

a.neither maximum nor minimum

b.maximum

c.minimum

d.zero

25. Question

a.c

b.d

c.a

d.b

26. Question

a.c

b.d

c.a

d.b

27. 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.20 radiah/sec

d.120 radian/sec

28. Question

a.c

b.b

c.d

d.a

29. Question

a.None of these

b.(-∞, 0)

c.(-1, ∞)

d.(-∞, ∞)

30. Question

a.(0, ∞)

b.(-∞, ∞)

c.(1, ∞)

d.(-1, ∞)

31. Question

a.3x – y = 8

b.x + 3y ± 8 = 0

c.3x + y + 8 = 0

d.x + 3y = 0

32. Question

a.a decreasing function

b.None of these

c.an even function

d.an increasing function

33. 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.2%

d.3%

34. Question

a.no tangent

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

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

d.an oblique tangent

35. Question

a.two points of local maximum

b.no maxima or minima

c.two points of local minimum

d.one maxima and one minima

36. Question

a.d

b.b

c.c

d.a

37. Question

a.f(x) is an increasing function

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

c.g (x) is an increasing function

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

38. Question

a.Rotation

b.Retardation

c.Velocity

d.Acceleration

39. Question

a. (3, 9)

b.(6, 2)

c.(3, 9), (9, 3)

d.(2, 4)

40. Question

a.0

b.-1

c.2

d.1

41. Question

a.126

b.0

c.135

d.160

42. Question

a.λ < 1

b. λ > 4

c.λ < 4

d.λ > 1

43. Question

a.0

b.16

c.12

d.32

44. Question

a.(2, – 2), (- 2, -34)

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

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

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

45. Question

a.c

b.a

c.b

d.d

46. Question

a.b

b.c

c.d

d.a

47. Question

a.c

b.d

c.b

d.a

48. Question

a.d

b.b

c.c

d.a

49. 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.inversely proportional to the radius

c.inversely proportional to the surface area

d.a constant

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

a.increasing for certain range of x

b.always decreasing

c.always increasing

d.None of these

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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