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Question

Length of the tangent drawn from any point on the circle x2+y2+2gx+2fy+c1=0 to the circle is x2+y2+2gx+2fy+c=0

A
c1c
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B
cc1
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C
c1+c
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D
None of these
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Solution

The correct option is B cc1
Suppose (x1,y1) be any point on first circle from which tangent is to be drawn, then
x21+y21+2gx1+2fy1+c1=0
….(i)
and also length of tangent
=S2=x21+y21+2gx1+2fy1+c ….(ii)

From (i), we get (ii) as cc1.


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