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Question

The point from which the tangents to the circles x2+y28x+40=0,5x2+5y225x+80=0,x2+y28x+16y+160=0 are equal in length is



Your Answer
A

Your Answer
B

Correct Answer
C

Your Answer
D


Solution

The correct option is C


Required point is the radical centre of the three given circles. The radical axes of these three circles taken in pairs are

3x – 24 = 0, 16y + 120 = 0, 3x + 16y + 80 = 0

∴   x = 8, y =152

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