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Find the equation of the circle passing through the points of intersections of circles `x^2+y^2+6x+4y-12=0, x^2+y^2-4x-6y-12=0`, and having radius `sqrt13`.

A

`x^(2)+y^(2)+6x+8y+12=0`

B

`x^(2)+y^(2)+8x+6y-12=0`

C

`x^(2)+y^(2)+6x+8y-12=0`

D

`x^(2)+y^(2)-6x-8y-12=0`

Text Solution

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The correct Answer is:
C
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