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Prove that locus of center of variable circle x²+y²+2gx+2fy+c=0 which cut the circle S1=x²+y²+2g1x+2f1y+C1=0S2=x²+y²+2(gtwo)X+2(ftwo)Y+c2=0Orthogonal allity is radial axis of two circles

Prove that locus of center of variable circle x²+y²+2gx+2fy+c=0 which cut the circle S1=x²+y²+2g1x+2f1y+C1=0S2=x²+y²+2(gtwo)X+2(ftwo)Y+c2=0Orthogonal allity is radial axis of two circles

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Grade:11

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Deepak Kumar Shringi
askIITians Faculty 4404 Points
6 years ago
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