If tangents are drawn to the ellipse \( x^{2}+2 y^{2}=2 \) at all P...

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If tangents are drawn to the ellipse \( x^{2}+2 y^{2}=2 \) at all
P points on the ellipse other than its four vertices then
\( \mathrm{W} \) the mid points of the tangents intercepted between the coordinate axes lie on the curve:
(1) \( \frac{1}{4 x^{2}}+\frac{1}{2 y^{2}}=1 \)
(2) \( \frac{x^{2}}{4}+\frac{y^{2}}{2}=1 \)
(3) \( \frac{1}{2 x^{2}}+\frac{1}{4 y^{2}}=1 \)
(4) \( \frac{x^{2}}{2}+\frac{y^{2}}{4}=1 \)
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