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Show tht the locus of the middle points ...

Show tht the locus of the middle points of chords of the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 ` drawn through an extremity of the minor axis is `(x^(2))/(a^(2))+(y^(2))/(b^(2)) = pm (y)/(b) `

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