Mathematics NDA/NA SOLVED PAPER 2019 (II) (51 to 100)

Total Questions: 50

31. Simplify the equation?

Correct Answer: (d)
Solution:

32. Simplify the question?

Correct Answer: (d)
Solution:

33. Which one of the following is the differential equation that represents the family of curves y = 1/2x² - C, where C is an arbitrary constant?

Correct Answer: (d)
Solution:

34. What is dy/dx at x = 1 equal to?

Question:- (84 to 85)
Read the following information and answer the two items that follow.
Consider the equation xʸ = eˣ⁻ʸ

Correct Answer: (a) 0
Solution:

35. What is d²y/dx² at x = 1 equal to?

Consider the equation xʸ = eˣ⁻ʸ

Correct Answer: (b) 1
Solution:

36. What is the period of the function g(x)?

Question:- (86 to 88)
Read the following information and answer the three items that follow.
Consider the function

Correct Answer: (d) 8π
Solution:

37. What is the period of the function h(x)?

Correct Answer: (c) 5π/2
Solution:

38. What is the period of the function f(x)?

Correct Answer: (c) 40π
Solution:

39. In which one of the following intervals is the function increasing?

Question:- (89 to 90)
Read the following information and answer the two items that follow.
consider the function
f(x) = 3x⁴ - 20x³ - 12x² + 288x + 1

Correct Answer: (b) (3, 4)
Solution:

40. In which one of the following intervals is the function decreasing?

f(x) = 3x⁴ - 20x³ - 12x² + 288x + 1

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