Find the condition on such that two chords of the circle passing through the point…

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Find the condition on a,b,ca, b, c such that two chords of the circle x2+y2−2ax−2by+a2+b2−c2=0x^2 + y^2 - 2ax - 2by + a^2 + b^2 - c^2 = 0 passing through the point (a,b+c)(a, b + c) are bisected by the line y=xy = x .

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