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.2

c.4

d.5

2. Question

a.d

b.a

c.b

d.c

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

a.2%

b.1%

c.4%

d.3%

4. Question

a.2

b.-1

c.0

d.1

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

a.increasing for certain range of x

b.always increasing

c.always decreasing

d.None of these

6. Question

a.(1, 3)

b.None of these

c.(3, ∞)

d.(-∞, -1) ∩ (3, ∞)

7. Question

a.sin 2x

b. cos 3x

c.cos x

d.tan x

8. Question

a.c

b.b

c.d

d.a

9. Question

a.(2, – 2), (- 2, -34)

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

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

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

10. Question

a.(0, e)

b.(0, ∞)

c.None of these

d.(e, ∞)

11. Question

a.c

b.d

c.b

d.a

12. Question

a.d

b.b

c.a

d.c

13. Question

a.4a

b.a

c.3a

d.2a

14. Question

a.5.68

b.0.032

c.0.32

d.5.968

15. 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

16. Question

a.an oblique tangent

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

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

d.no tangent

17. Question

a.c

b.d

c.b

d.a

18. Question

a.Acceleration

b.Velocity

c.Rotation

d.Retardation

19. Question

a.3x + y + 8 = 0

b.3x – y = 8

c.x + 3y ± 8 = 0

d.x + 3y = 0

20. Question

a.λ < 1

b. λ > 4

c.λ < 4

d.λ > 1

21. Question

a.maximum

b.neither maximum nor minimum

c.minimum

d.zero

22. The function f(x) = tan x – x

a.always decreases

b.never increases

c.always increases

d.sometimes increases and sometimes decreases

23. Question

a.a

b.d

c.b

d.c

24. Question

a.b

b.a

c.c

d.d

25. 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

26. Question

a.a

b.c

c.d

d.b

27. Question

a.all values of x

b.x < 1

c.x > 1

d.1 < x < 5

28. Question

a.d

b.b

c.a

d.c

29. 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.120 radian/sec

d.110 radian/sec

30. Question

a.a

b.d

c.b

d.c

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

a.is an increasing function

b.has a maximum, at x = 0

c.is a decreasing function

d.has a minimum at x = 3t

32. Question

a.[-1, ∞]

b.[-∞, -2]

c.[-2, -1]

d.[-1, 1]

33. Question

a.(-1, ∞)

b.(0, ∞)

c.(-∞, ∞)

d.(1, ∞)

34. Question

a.126

b.135

c.160

d.0

35. Question

a.b

b.c

c.a

d.d

36. Question

a.c

b.b

c.d

d.a

37. Question

a.(-∞, 0)

b.(-∞, ∞)

c.(-1, ∞)

d.None of these

38. Question

a.x + 5y = 2

b.5x + y = 2

c.5x – y = 2

d.x – 5y = 2

39. Question

a.b

b.c

c.d

d.a

40. Question

a.an increasing function

b.an even function

c.None of these

d.a decreasing function

41. Question

a.f(x) is an increasing function

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

c.g (x) is an increasing function

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

42. Question

a.one maxima and one minima

b.two points of local maximum

c.two points of local minimum

d.no maxima or minima

43. Question

a.1

b.0

c.6

d.-6

44. Question

a.a

b.c

c.d

d.b

45. Question

a.(6, 2)

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

c. (3, 9)

d.(2, 4)

46. Question

a.16

b.32

c.12

d.0

47. Question

a.c

b.b

c.d

d.a

48. Question

a. (-1, 2)

b.(2, 1)

c.(1, 2)

d.(1, -2)

49. Question

a.d

b.c

c.a

d.b

50. 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.a constant

c.proportional to the radius

d.inversely proportional to the surface area

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

Submit a Comment Cancel reply

Latest Posts

General

Important Days

CBSE School Lessons

Popular Pages

Entrance Exams

Top Entrance Exams

Admission Information

Career and Jobs

Education India