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Through a fixed point (h,k), secant are ...

Through a fixed point (h,k), secant are drawn to the circle `x^(2)+y^(2)=r^(2)`. Show that the locus of the midpoints of the secants by the circle is `x^(2)+y^(2)=hx+ky`.

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The correct Answer is:
`:.` Locus of `P(x_(1),y_(1))" is "x^(2)+y^(2)=hx+ky`
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