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Q.

The length of the common chord of the circles x2+y2+4x+1=0 and x2+y2+4y1=0, is

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a

none of these

b

215

c

15/2

d

15

answer is A.

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Detailed Solution

Given circles intersect orthogonally. So, the length of their common chord is

        l=2r1r2r12+r22,

where r1 and r2 are the radii of the given circles.

Here, r1=5 and r2=3

 l=2155+3=152..

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