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If a circle passes through and cuts the circle orthogonally, then the locus of its centre is
detailed solution
Correct option is B
Let the equation of the circle bex2+y2−2gx−2fy+c=0. As it passes through (a, b) a2+b2−2ga−2fb+c=0Since it intersects the circle x2+y2=4 orthogonally 2g×0+2f×0=c−4⇒c=4and the locus of (g,f), the centre is 2ax+2by−a2+b2+4=0Talk to our academic expert!
Similar Questions
Three circles with radii 3cm, 4cm and 5cm touch each other externally. If A is the point of intersection of tangents to these circles at their points of contact, then the distance of A from the points of contact is
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