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

Total Questions: 50

41. What are the roots of the equation g [f (x)] = 0?

Question:- (91 to 93)
Read the following information and answer the two items that follow .

Correct Answer: (b) -1, -1
Solution:

42. Consider the following statements:

1. f [g(x)] is a polynomial of degree 3.
2. g [g( x)] is a polynomial of degree 2.
Which of the above statements is/are correct?

Correct Answer: (d) Neither 1 nor 2
Solution:

43. If h (x) = 5 f(x) - xg (x), then what is the derivative of h(x)?

Correct Answer: (b) −20
Solution:

44. What is the value of I₁?

Question:- (94 to 95)
Read the following information and answer the questions given below.
Consider the integrals

Correct Answer: (c) π
Solution:

45. What is the value of I₁ + I₂?

Correct Answer: (a) 2 π
Solution:

46. The differential equation which represents the family of curves given by tan y = C(1 - eˣ) is:

Correct Answer: (b)
Solution:

47. What is the derivative of 2⁽ˢⁱⁿ ˣ⁾² with respect to sin x?

Correct Answer: (a)
Solution:

48. For what value of k is the function:

Correct Answer: (a) 1/4
Solution:

49. What is the area of the region enclosed between the curve y² = 2x and the straight line y = x?

Correct Answer: (a) 2/3 sq unit
Solution:

50. If f (x) = x³/3 - 5x²/2 + 6x + 7 increases in the interval T and decreases in the interval S, then which one of the following is correct?

Correct Answer: (a)
Solution: