NDA/NA SOLVED PAPER 2015-I (MATHEMATICS)

Total Questions: 120

111. Consider the following statements:

Consider the function f(x) = 0 . 75x⁴ - x³ - 9x² + 7

1. The function attains local minima at x = - 2 and x = 3 .
2. The function increases in the interval (-2, 0).

Which of the above statements is/are correct?

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

112. What does the equation represent?

Correct Answer: (b) It represents a circle of radius a
Solution:

113. What is dy/dx equal to?

Correct Answer: (d) - x/y
Solution:


114. What is d²y/dx² equal to?

Correct Answer: (d) - a²/y³
Solution:

115. Consider the following statements:

1. The general solution of dy/dx  = f(x) + x is of the form y = g(x) + c where c is an arbitrary constant.
2. The degree of (dy/dx)² = f(x) is 2.

Which of the above statements is/are correct?

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

116. Solve the following equation

Correct Answer: (a)
Solution:


117. What is I₁ equal to?

Correct Answer: (a) 0
Solution:

118. What is I₂ + I₃ equal to?

Correct Answer: (d) 0
Solution:



119. What is Iₘ equal to?

Correct Answer: (a) 0
Solution:

120. Consider the following:

1. Iₘ - Iₘ₋₁ is equal to 0.
2. I₂ₘ > Iₘ

Which of the above is/are correct?

Correct Answer: (a) 1 only
Solution: