find equation of image of circle whose equation is x2+y2+8x-16y+64=0 in the line mirror x=0
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The equation given is
x^2+y^2+8x-16y+64=0
Add and subtract 16 to the given equation.
x^2 + 8x + 16 + y^2 - 16y + 64 -16 = 0
x^2 + 8x + 16 + y^2 - 16y + 64 = 16
(x - 4)^2 + (y - 8)^2 = 4^2 is the equation.
(x - (-4))^2 + (y - 8)^2 = 4^2 . centre is (- 4, 8)
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