1
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

If (a, b) is the centre and c is the radius of the circle $x^2 + y^2 + 2x + 6y + 1 = 0$, then what is the value of $a^2 + b^2 + c^2$?

A

19

B

18

C

17

D

11

2
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

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

The circle $x^2 + y^2 - 2x = 0$ is partitioned by line $y = x$ in two segments. Let $A_1, A_2$ be the areas of major and minor segments respectively.

What is the value of $A_1$?

A

$\frac{\pi - 2}{4}$

B

$\frac{\pi + 2}{4}$

C

$\frac{3\pi - 2}{4}$

D

$\frac{3\pi + 2}{4}$

3
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

The circle $x^2 + y^2 - 2x = 0$ is partitioned by line $y = x$ in two segments. Let $A_1, A_2$ be the areas of major and minor segments respectively.

What is the value of $\frac{2(A_1 + A_2)}{ A_1 - 3A_2}$?

A

$\pi$

B

$1$

C

$-1$

D

$-\pi$

4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If 3x + y - 5 = 0 is the equation of a chord of the circle x+ y2 - 25 = 0, then what are the coordinates of the mid-point of the chord ?
A
$ \left(\frac{3}{4}, \frac{1}{4}\right)$
B
$ \left(\frac{3}{2}, \frac{1}{2}\right) $
C
$ \left(\frac{3}{4},-\frac{1}{4}\right) $
D
$ \left(\frac{3}{2},-\frac{1}{2}\right)$
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