The locus of the midpoints of a focal chord of the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b....

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The locus of the midpoints of a focal chord of the
\( \mathrm{P} \)
ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) is
(1) \( \frac{e y}{a}=\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}} \)
(2) \( \frac{2 x}{a}=\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}} \)
(3) \( \frac{e x}{a}=\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}} \)
(4) \( \frac{e y}{b}=\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}} \)



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