(Mathematics) NDA/NA SOLVED PAPER 2024 – I (51 to 100)

Total Questions: 50

41. Which of the following is/are correct?

A differentiable function f(x) has a local maximum at

x = 0. let y = 2 f(x) + ax - b.

(A) f ' (0) = 0

(B) f " (0) < 0

Select the correct answer using the code given below:

Correct Answer: (c) Both A and B
Solution:Since f(x) has a local maximum at x = 0. Then
f'(0) = 0 and f'(0) < 0        ....(iv)
so, option (c) is correct

42. The function y has a relative maxima at x = 0 for

A differentiable function f(x) has a local maximum at

x = 0. let y = 2 f(x) + ax - b.

Correct Answer: (b) for all b and a = 0
Solution:

43. equal to?

Correct Answer: (a) -3/2
Solution:

44. equal to?

Correct Answer: (d) 1/2
Solution:

45. What is the value of α?

Correct Answer: (a) 1/3
Solution:

Comparing (i) and (ii) we get

α = 1/3

46. What is the value of β?

Correct Answer: (c) 1/3
Solution:

Comparing (i) & (ii) we get
β = 1/3

47. What is the value of A₁?

Correct Answer: (d)
Solution:

48. Find the value?

Correct Answer: (a) π
Solution:

49. What is f(x) equal to?

Correct Answer: (d)
Solution:

50. equal to?

Correct Answer: (a) ln(8√e)
Solution: