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Question

The length of the chord of contact with respect to the point on the director circle of circle x2+y2+2ax2by+a2b2=0 is k|b| units. Then the value of k is

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Solution


S1:x2+y2+2ax2by+a2b2=0,r1=a2+b2a2+b2=2|b|

From the diagram, OMPN is a square and P lies on director circle of S1.
MN=OP= radius of the director circle of S1
MN=2|2b|=2|b|
k=2

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