Mathematics - Hyperbola Question with Solution | TestHub

Let $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ and $\frac{x^2}{A^2}-\frac{y^2}{B^2}=1$ be confocal ( $a>A,a>b$ ) with foci $S_1,S_2$. If $P$ is an intersection point, then $S_{1}P,S_{2}P$ are roots of which equation?