(Mathematics-Part-2) NDA/NA Solved Paper 2017-I

Total Questions: 50

41. What is the solution of the differential equation 1n (dy/dx)-a = 0 ?

Correct Answer: (a)
Solution:

42. Let ƒ (x) be defined as follow:

Which one of the following statements is correct in respect of the above function?

Correct Answer: (c) It is discontinuous at x = 0 but continuous at every other point.
Solution:

43. Consider the following statements:

Which of the above statements is/are correct?

Correct Answer: (a) 1 only
Solution:

44. Which one of the following functions is neither even nor odd?

Correct Answer: (d)
Solution:

If f(x) =x² (x-3), then f(-x)=x²(-x-3)≠f(x) or -f(x)⇒f(x) is neither even nor odd.

45. What is the derivative of log₁₀ (5x² + 3) with respect to x?

Correct Answer: (c)
Solution:

46. Consider the following:

Which of the above is/are correct?

Correct Answer: (b) 2 only
Solution:

47. What is the maximum area of a triangle that can be inscribed in a circle of radius a?

Correct Answer: (c)
Solution:


48. Let ƒ (x) = x + (1/x), when x ∈ (0, 1). Then which one of the following is correct?

Correct Answer: (c) ƒ (x) decreases in the interval
Solution:

49. Suppose the function ƒ (x) = xⁿ, n ≠ 0 is differentiable for all x. Then n can be any element of the interval

Correct Answer: (a) (1,∞)
Solution:

f (x)=xⁿ,n≠ 0 This function is differentiable for all values of n, except 0. Hencen ∈ (1, ∞)

50. Solve the following equation:

Correct Answer: (b) 5/2
Solution: