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Question

The equation of the circle which intersects circles x2+y2+x+2y+3=0,x2+y2+2x+4y+5=0 and

x2+y27x8y9=0 at right angle, will be


A

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B

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C

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D

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Solution

The correct option is D


Let circle be x2+y2+2gx+2fy+c=0. Then according to the conditions given,

g + 2f = c + 3 .........(i)

2g + 4f = c + 5 .........(ii)

-7g - 8f = c - 9 ..........(iii)

g=23,f=23,c=1

Therefore, the required equation is

3(x2+y2)+4(x+y)3=0.


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