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Question

Find the image of the circle x2+y26x8y=0 in the line 3x+4y+25=0.

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Solution

Image of circle along line
P line is Radical axis of circle.
SS=3x+4y+25
x2+y26x8yx2y22qx2fyc=3x+4y+25
(62a)x+(82S)y(3x+4y+25
6+g=3g=9/282f=4f=6c=25c=25
x2+y29x12y21=0

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