Mon June 02, 2008 By:

Locus of centre of circle.

Expert Reply
Sun December 14, 2008

let the center of the circle be (h,k)

assuming rod of length a slides along y-axis and other slides along x-axis.

then for the rod of length a -

length of perpendicular from center = h

radius of circle = r

and length of chord = a

then  (a/2)2 + h2 = r2

similarly for other rod

(b/2)2 + k2 = r2

so the locus of the center is (a/2)2 + x2= (b/2)2 + y2

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