Through a fixed point

MATHEMATICS · Subjective · ISC · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Through a fixed point (h,k)(h, k), secants are drawn to the circle x2+y2=r2x^2 + y^2 = r^2. Show that the locus of mid-point of the portions of secants intercepted by the circle is x2+y2=hx+kyx^2 + y^2 = hx + ky.

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