1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following in respect of the circle 4x+ 4y- 4ax - 4ay + a2 = 0:

1. The circle touches both the axes. 

2. The diameter of the circle is 2a.

3. The centre of the circle lies on the line x + y = a.

How many of the statements given above are correct?

A
Only one
B
Only two
C
All three
D
None
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 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the diameter of a circle inscribed in a regular polygon of 12 sides, each of length 1 cm ?
A
1 + $\sqrt{2}$ cm
B
2 + $\sqrt{2}$ cm
C
2 + $\sqrt{3}$ cm
D
3 + $\sqrt{3}$ cm
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