NDA Mathematics 16 April 2023 | NDA Year Wise Previous Years Questions

Mathematics

NDA Mathematics 16 April 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next two (02) items that follow :

The line y = x partitions the circle (x - a)² + y² = a² in two segments.

What is the area of minor segment ?

$\frac{(\pi-2) a^2}{4}$

$\frac{(\pi-1) a^2}{4}$

$\frac{(\pi-2) a^2}{2}$

$\frac{(\pi-1) a^2}{2}$

NDA Mathematics 16 April 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next two (02) items that follow :

The line y = x partitions the circle (x - a)² + y² = a² in two segments.

What is the area of major segment ?

$\frac{(3 \pi-2) a^2}{4}$

$\frac{(3 \pi+2) a^2}{4}$

$\frac{(3 \pi-2) a^2}{2}$

$\frac{(3 \pi+2) a^2}{2}$

NDA Mathematics 16 April 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next two (02) items that follow :

Let A(1, -1, 2) and B(2, 1, -1) be the end points of the diameter of the sphere

x² + y² + z² + 2ux + 2vy + 2wz - 1 = 0.

What is u + v + w equal to ?

-2

-1

NDA Mathematics 16 April 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next two (02) items that follow :

Let A(1, -1, 2) and B(2, 1, -1) be the end points of the diameter of the sphere

x² + y² + z² + 2ux + 2vy + 2wz - 1 = 0.

P(x, y, z) is any point on the sphere, then what is PA² + PB² equal to ?

6.5