If a circle passes through the point and cuts the circle orthogonally

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

If a circle passes through the point (a,b)(a, b) and cuts the circle x2+y2=4x^2 + y^2 = 4 orthogonally, then the locus of its centre is (1) 2ax+2by+(a2+b2+4)=02ax + 2by + (a^2 + b^2 + 4) = 0 (2) 2ax+2by−(a2+b2+4)=02ax + 2by - (a^2 + b^2 + 4) = 0 (3) 2ax−2by+(a2+b2+4)=02ax - 2by + (a^2 + b^2 + 4) = 0 (4) 2ax−2by−(a2+b2+4)=02ax - 2by - (a^2 + b^2 + 4) = 0

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