CUET 2024 Maths Chapter 6 - Applications of Derivatives MCQs

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

1. Question

a.(1, ∞)

b.(0, ∞)

c.(-∞, ∞)

d.(-1, ∞)

2. Question

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

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

c.an oblique tangent

d.no tangent

3. Question

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

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

c.g (x) is an increasing function

d.f(x) is an increasing function

4. Question

a.5

b.4

c.0

d.2

5. Question

a.[-2, -1]

b.[-1, ∞]

c.[-∞, -2]

d.[-1, 1]

6. Question

a.b

b.d

c.c

d.a

7. Question

a.c

b.b

c.d

d.a

8. Question

a.a

b.c

c.d

d.b

9. Question

a.3x – y = 8

b.3x + y + 8 = 0

c.x + 3y = 0

d.x + 3y ± 8 = 0

10. Question

a.(3, ∞)

b.None of these

c.(-∞, -1) ∩ (3, ∞)

d.(1, 3)

11. Question

a.c

b.d

c.b

d.a

12. Question

a.b

b.d

c.c

d.a

13. Question

a.d

b.a

c.c

d.b

14. Question

a.Rotation

b.Retardation

c.Acceleration

d.Velocity

15. Question

a.a

b.c

c.b

d.d

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

a.None of these

b.always decreasing

c.always increasing

d.increasing for certain range of x

17. Question

a.one maxima and one minima

b.two points of local maximum

c.no maxima or minima

d.two points of local minimum

18. Question

a.5x + y = 2

b.5x – y = 2

c.x – 5y = 2

d.x + 5y = 2

19. Question

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

b.(2, 4)

c.(6, 2)

d. (3, 9)

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

a.has a minimum at x = 3t

b.is an increasing function

c.has a maximum, at x = 0

d.is a decreasing function

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

a.has a minimum at x = 3t

b.has a maximum, at x = 0

c.is a decreasing function

d.is an increasing function

22. Question

a.160

b.0

c.126

d.135

23. Question

a.an increasing function

b.an even function

c.None of these

d.a decreasing function

24. Question

a.a

b.c

c.d

d.b

25. Question

a.a

b.2a

c.3a

d.4a

26. Question

a.1

b.0

c.-6

d.6

27. Question

a.all values of x

b.1 < x < 5

c.x > 1

d.x < 1

28. Question

a.32

b.16

c.12

d.0

29. The function f(x) = tan x – x

a.always decreases

b.always increases

c.sometimes increases and sometimes decreases

d.never increases

30. Question

a.(2, 1)

b.(1, 2)

c. (-1, 2)

d.(1, -2)

31. 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.10 radiah/sec

b.120 radian/sec

c.110 radian/sec

d.20 radiah/sec

32. Question

a.b

b.d

c.a

d.c

33. Question

a.1

b.2

c.0

d.-1

34. Question

a.a

b.c

c.d

d.b

35. Question

a.b

b.c

c.a

d.d

36. Question

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

b.(2, – 2), (- 2, -34)

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

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

37. Question

a.cos x

b.tan x

c. cos 3x

d.sin 2x

38. Question

a.a

b.c

c.b

d.d

39. Question

a.b

b.d

c.a

d.c

40. 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

41. Question

a.minimum

b.zero

c.neither maximum nor minimum

d.maximum

42. Question

a.d

b.b

c.a

d.c

43. Question

a.c

b.d

c.a

d.b

44. Question

a. λ > 4

b.λ > 1

c.λ < 1

d.λ < 4

45. Question

a.d

b.a

c.b

d.c

46. Question

a.None of these

b.(0, ∞)

c.(0, e)

d.(e, ∞)

47. Question

a.0.32

b.5.968

c.0.032

d.5.68

48. 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.4%

c.1%

d.3%

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

a.a constant

b.proportional to the radius

c.inversely proportional to the radius

d.inversely proportional to the surface area

50. Question

a.(-1, ∞)

b.(-∞, 0)

c.None of these

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

Submit a Comment Cancel reply

Latest Posts

CBSE School Lessons

Popular Pages

Entrance Exams

Top Entrance Exams

Admission Information

Career and Jobs

Education India