1
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
$$(1,3)$$
2
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
3
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$S \equiv x^2+y^2-2 x-4 y-4=0$$ and $$S^{\prime} \equiv x^2+y^2-4 x-2 y-16=0$$ are two circles the point $$(-2,-1)$$ lies

A
inside $$S^{\prime}$$ only
B
inside $$S$$ only
C
inside $$S$$ and $$S^{\prime}$$
D
outside $$S$$ and $$S^{\prime}$$
4
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The centre of the circle passing through $$(0,0)$$ and $$(1,0)$$ and touching the circle $$x^2+y^2=9$$ is

A
$$\left(\frac{1}{2}, \frac{1}{2}\right)$$
B
$$ \left(\frac{1}{2}, \frac{3}{2}\right) $$
C
$$ \left(\frac{1}{2},-\sqrt{2}\right) $$
D
$$ \left(\frac{3}{2}, \frac{1}{2}\right) $$
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