First slide

Analysis of two circles in circles

Question

The coordinates of the centre of the circle which intersects Circles $x^{2} + y^{2} + 4 x + 7 = 0, 2 x^{2} + 2 y^{2} + 3 x + 5 y + 9 = 0$ and $x^{2} + y^{2} + y = 0$ orthogonally are

Moderate

A

$(- 2, 1)$
B

$(- 2, - 1)$
C

$(2, - 1)$
D

$(2, 1)$

Solution

The required point is the radical centre of the given circles.

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