NDA/NA SOLVED PAPER 2016-II (MATHEMATICS)

Total Questions: 120

71. Solve the following equation

Correct Answer: (a)
Solution:

72. Consider the following in respect of the function

Correct Answer: (b) 3 only
Solution:


73. Solve the following equation

Correct Answer: (a)
Solution:

74. Which one of the following statements is correct in respect BOLTE of the function f(x) = x³ sin x ?

Correct Answer: (b) It has local minimum at x = 0
Solution:

75. What is the area bounded by the curves |y| = 1 - x² ?

Correct Answer: (b) 8/3 square units
Solution:

76. Which of the following statements is/are correct?


1. f(x) is increasing in the interval [-1, 2].
2. f(x) is decreasing in the interval (2, 3].

Select the correct answer using the code given below:

Correct Answer: (c) Both 1 and 2
Solution:


77. Which of the following statements are correct?


1. f(x) is continuous at x = 2 .
2. f(x) attains greatest value at x = 2 .
3. f(x) is differentiable at x = 2.

Select the correct answer using the code given below:

Correct Answer: (a) 1 and 2 only
Solution:


78. What is f'(x) equal to when x > 1 ?

Let f(x) = [|x| - |x - 1|]²

Correct Answer: (a) 0
Solution:


79. What is f'(x) equal to when 0 < x < 1 ?

Let f(x) = [|x| - |x - 1|]²

Correct Answer: (d) 8x - 4
Solution:

80. Which of the following equations is/are correct ?

Let f(x) = [|x| - |x - 1|]²

1. f(- 2) = f(5)
2. f'' prime prime (-2)+f'' prime prime (0.5)+f'' prime prime (3) = 4

Select the correct answer using the code given below:

Correct Answer: (a) 1 only
Solution: