Question: The foci of the ellipse $\frac{x^{2}}{a^{2}}$+ $\frac{y^{2}}{7}$and the hyperbola \(\frac{x^{2}...

Question

The foci of the ellipse $\frac{x^{2}}{a^{2}}$ + $\frac{y^{2}}{7}$ and the hyperbola

$\frac{x^{2}}{144}$ – $\frac{y^{2}}{81}$ = $\frac{1}{25}$ coincide then a² =

Answer 1

Foci of ellipse (± $\sqrt{a^{2} - 7}$ , 0)

Foci of hyperbola (± 3, 0)

Þ $\sqrt{a^{2} - 7}$ = 3 Þ a² = 16

Question: The foci of the ellipse \(\frac{x^{2}}{a^{2}}\)+ \(\frac{y^{2}}{7}\)and the hyperbola \(\frac{x^{2}...