(Mathematics) NDA/NA SOLVED PAPER 2023 – II (01 to 50)

Total Questions: 50

41. Which one of the following is a possible expression for g(x)?

Let f(x) = x² - 1 and gof (x) = x - √x + 1

Correct Answer: (b)
Solution:

42. What is g(15) equal to?

Let f(x) = x² - 1 and gof (x) = x - √x + 1

Correct Answer: (c) 3
Solution:

43. What is f(0.5) equal to?

Correct Answer: (b) 2/3
Solution:(b)

44. If f is differentiable, then what is f'(0.5) equal to?

Correct Answer: (c) 2
Solution:

45. The function is decreasing on:

Correct Answer: (a)
Solution:(a)

46. The function attains local minimum value at:

Correct Answer: (c) x = 0
Solution:

47. What is the maximum value of y?

Given that 4x² + y² = 9

Correct Answer: (b) 3
Solution:

48. What is the maximum value of xy?

Given that 4x² + y² = 9

Correct Answer: (a) 9/4
Solution:

49. What is the range of the function?

A function is defined by f(x) = π + sin²x

Correct Answer: (b) [π, π+ 1]
Solution:

50. What is the period of the function?

A function is defined by f(x) = π + sin²x

Correct Answer: (b) π
Solution:Since, period of sin²x is π
⇒ period of f(x) = π + sin²x is π