1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
In a circle of diameter 44 cm, the length of a chord is 22 cm. What is the length of minor arc of the chord?
A
$${{484} \over {21}}$$ cm
B
$${{242} \over {21}}$$ cm
C
$${{121} \over {21}}$$ cm
D
$${{44} \over 7}$$ cm
2
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

3
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

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

4
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

$-\pi$

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