The ellipse x2a2−3+y2a+4=1 is inscribed in a square of side length a2 then a cannot take the value

2a2−3+(a+4)=2a2+2a2⇒a2+a+1=a⇒a=−1 but a2≥3,a>−4⇒ a canot take −1

The ellipse x2a2−3+y2a+4=1 is inscribed in a square of side length a2 then a cannot take the value

2a2−3+(a+4)=2a2+2a2⇒a2+a+1=a⇒a=−1 but a2≥3,a>−4⇒ a canot take −1

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The ellipse $\frac{x^{2}}{a^{2} - 3} + \frac{y^{2}}{a + 4} = 1$ is inscribed in a square of side length $a \sqrt{2}$ then a cannot take the value

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$2 \sqrt{(a^{2} - 3) + (a + 4)} = \sqrt{2 a^{2} + 2 a^{2}} \Rightarrow \sqrt{a^{2} + a + 1} = a$

$\Rightarrow a = - 1 but a^{2} \geq 3, a > - 4 \Rightarrow a canot take - 1$

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The ellipse x2a2−3+y2a+4=1 is inscribed in a square of side length a2 then a cannot take the value

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The ellipse $\frac{x^{2}}{a^{2} - 3} + \frac{y^{2}}{a + 4} = 1$ is inscribed in a square of side length $a \sqrt{2}$ then a cannot take the value