1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

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

P(x, y) is any point on the ellipse x+ 4y2 = 1. Let E, F be the foci of the ellipse. 

Consider the following points :

1. $\left(\frac{\sqrt{3}}{2}, 0\right)$

2. $\left(\frac{\sqrt{3}}{2}, \frac{1}{4}\right)$

3. $\left(\frac{\sqrt{3}}{2},-\frac{1}{4}\right)$

Which of the above points lie on latus rectum of ellipse ?

A
1 and 2 only
B
2 and 3 only
C
1 and 3 only
D
1, 2 and 3 
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

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 ?
A
$\frac{(\pi-2) a^2}{4}$
B
$\frac{(\pi-1) a^2}{4}$
C
$\frac{(\pi-2) a^2}{2}$
D
$\frac{(\pi-1) a^2}{2}$
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

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 ?
A
$\frac{(3 \pi-2) a^2}{4}$
B
$\frac{(3 \pi+2) a^2}{4}$
C
$\frac{(3 \pi-2) a^2}{2}$
D
$\frac{(3 \pi+2) a^2}{2}$
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

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 ? 
A
-2
B
-1
C
1
D
2
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