NDA Mathematics 3 September 2023 | NDA Year Wise Previous Years Questions

Mathematics

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next items that follow:

A function is defined by f(x) = π + sin2 x.

What is the range of the function?

[0, 1]

[π, π + 1]

[π - 1, π + 1]

[π - 1, π - 1]

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next items that follow:

A function is defined by f(x) = π + sin2 x.

What is the period of the function?

2π

$\frac{\pi}{2}$

The function is non-periodic

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next items that follow:

A parabola passes through (1, 2) and satisfies the differential equation $\frac{d y}{d x}=\frac{2 y}{x}, x>0, y>0 .$

What is the directrix of the parabola ?

$y=-\frac{1}{8}$

$ y=\frac{1}{8} $

$ x=-\frac{1}{8} $

$x=\frac{1}{8}$

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next items that follow:

A parabola passes through (1, 2) and satisfies the differential equation $\frac{d y}{d x}=\frac{2 y}{x}, x>0, y>0 .$

What is the length of latus rectum of the parabola?

$\frac{1}{2}$

$\frac{1}{4}$

$\frac{1}{8}$