1
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The equation of a circle passing through the origin is $$x^2+y^2-6 x+2 y=0$$. The equation of one of its diameter is

A
$$3 x-y=0$$
B
$$x+y=0$$
C
$$x-3 y=0$$
D
$$x+3 y=0$$
2
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The area (in sq units) of the minor segment bounded by the circle $$x^2+y^2=a^2$$ and the line $$x=\frac{a}{\sqrt{2}}$$ is

A
$$ \frac{a^2}{4}(\pi-2) $$
B
$$ \frac{a^2}{4}(\pi+2) $$
C
$$ \frac{\pi a^2}{4} $$
D
$$ \frac{a^2}{4}(3 \pi-2) $$
3
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The points of intersection of circles $$(x+1)^2+y^2=4$$ and $$(x-1)^2+y^2=9$$ are $$(a, \pm b)$$, then $$(a, b)$$ equals to

A
$$\left(1.25, \frac{3}{4} \sqrt{7}\right)$$
B
$$\left(-1.25, \frac{3}{4} \sqrt{7}\right)$$
C
$$(-1,2)$$
D
$$(1,3)$$
4
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The circle $$x^2+y^2+3 x-y+2=0$$ cuts an intercept on $$X$$-axis of length

A
3
B
4
C
2
D
1
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