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The locus of the point which divides the double ordinates of the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) in the ratio \( 1: 2 \) internally is
P
(1) \( \frac{x^{2}}{a^{2}}+\frac{9 y^{2}}{b^{2}}=1 \)
(2) \( \frac{x^{2}}{a^{2}}+\frac{9 y^{2}}{b^{2}}=\frac{1}{9} \)
(3) \( \frac{9 x^{2}}{a^{2}}+\frac{9 y^{2}}{b^{2}}=1 \)
(4) none of these
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