If the ellipse \( \frac{x^{2}}{a^{2}-7}+\frac{y^{2}}{13-5 a}=1 \) is inscribed in a square of si....

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If the ellipse \( \frac{x^{2}}{a^{2}-7}+\frac{y^{2}}{13-5 a}=1 \) is inscribed in a
\( \mathrm{P} \)
square of side length \( a \sqrt{2} \), then \( a \) is equal to
(1) \( 6 / 5 \)
(2) \( 11 / 10 \)
(3) \( 13 / 10 \)
(4) no such ' \( a \) ' exists



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