NDA/NA SOLVED PAPER 2016-I (MATHEMATICS)

Total Questions: 120

71. Solve the following equation

Let f(x) be the greatest integer function and g(x) be the modulus function.

Correct Answer: (b) 0
Solution:f(x) → greatest integer function, f(x) = [x], g(x) → modulus function, g(x) = |x|

72. On which line does the centre of the circle lie?

Consider a circle passing through the origin and the points (a, b) and (- b, - a)

Correct Answer: (a) x + y = 0
Solution:

73. What is the sum of the squares of the intercepts cut off by the circle on the axes?

Consider a circle passing through the origin and the points (a, b) and (-b, -a)

Correct Answer: (b)
Solution:

74. What is cos(θ/2) equal to?


Correct Answer: (b)
Solution:


75. What is sin(θ/2) equal to?


Correct Answer: (a)
Solution:

76. Consider the following statements:


Which of the above statements is/are correct ?

Correct Answer: (b) 2 only
Solution:

77. Consider the following statements:

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


78. Solve the following equation

Correct Answer: (d) 1, 4
Solution:

79. Solve the following equation

Correct Answer: (c) 2
Solution:

80. Solve the following equation

Correct Answer: (b) 2
Solution: