NDA/NA SOLVED PAPER 2015-II (MATHEMATICS)

Total Questions: 120

91. At what value of x does the function attain maximum value?

Correct Answer: (c) 1/√e
Solution:



92. The maximum value of the function is

Correct Answer: (c)
Solution:

93. The value of k is

Consider f'(x) = x²/2 - kx + 1 such that f(0) = 0 and f(3) = 15

Correct Answer: (c) - 5/3
Solution:

94. f''(- 2/3) is equal to

Consider f'(x) = x²/2 - kx + 1 such that f(0) = 0 and f(3) = 15

Correct Answer: (d) 1
Solution:

95. The function f(x) is an increasing function in the interval

Consider the function f(x) = - 2x³ - 9x² - 12x + 1

Correct Answer: (a) (-2, -1)
Solution:

96. The function f(x) is a decreasing function in the interval

Consider the function f(x) = - 2x³ - 9x² - 12x + 1

Correct Answer: (d) (- ∞, - 2) ∪ (-1, ∞)
Solution:

97. Which one of the follwing is correct?

Correct Answer: (c) A = B
Solution:

98. What is the value of B?

Correct Answer: (b) π/2
Solution:


99. The value of A is

Correct Answer: (c) -1
Solution:


100. The value of B is

Correct Answer: (a) 1
Solution:Put the value of A in eq. (2) we get : Rightarrow B = 1