Find the foci of the hyperbola $\frac{x^{2}}{121}-\frac{y^{2}}{81}=1$.
A) $( \pm \sqrt{202}, 0)$
B) $( \pm 11,0)$
C) $( \pm 2 \sqrt{10}, 0)$
D) $(0 \pm \sqrt{202})$

Question

Quizplus · Accepted Answer

The foci of a hyperbola $\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$ are at $(\pm \sqrt{a^2 + b^2}, 0)$. Here, $a^2 = 121$ and $b^2 = 81$, so the foci are $(\pm \sqrt{121 + 81}, 0) = (\pm \sqrt{202}, 0)$.

Find the Foci of the Hyperbola x2121−y281=1\frac{x^{2}}{121}-\frac{y^{2}}{81}=1121x2​−81y2​=1 A) (±202,0)( \pm \sqrt{202}, 0)(±202​,0)

Find the Foci of the Hyperbola $\frac{x^{2}}{121}-\frac{y^{2}}{81}=1$
A) $( \pm \sqrt{202}, 0)$