1
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

The equation to two circles which touch the Y-axis at (0, 3) and make an intercept of 8 units on X-axis are

A
$${x^2} + {y^2} \pm 6x - 10y + 9 = 0$$
B
$${x^2} + {y^2} \pm 10x - 6y + 9 = 0$$
C
$${x^2} + {y^2} + 10x \pm 6y + 9 = 0$$
D
$${x^2} + {y^2} - 8x \pm 10y + 9 = 0$$
2
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

$${x^2} + {y^2} - 6x - 6y + 4 = 0$$, $${x^2} + {y^2} - 2x - 4y + 3 = 0$$, $${x^2} + {y^2} + 2kx + 2y + 1 = 0$$. If the radical centre of the above three circles exists, then which of the following cannot be the value of k?

A
1
B
2
C
4
D
5
3
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

If the circles $${x^2} + {y^2} - 2x - 2y - 7 = 0$$ and $${x^2} + {y^2} + 4x + 2y + k = 0$$ cut orthogonally, then the length of the common chord of the circles is

A
2
B
12/$$\sqrt{13}$$
C
8
D
5
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