Let e_1 be the eccentricity of a hyperbola (equation not preserved) and e_2 be the eccentr…

Question

Let $e_1$ be the eccentricity of a hyperbola (equation not preserved) and $e_2$ be the eccentricity of an ellipse (equation not preserved) which passes through the foci of the hyperbola. If $e_1e_2=1$, then the length of the chord of the ellipse parallel to the $x$-axis and passing through $(0,2)$ is:

Accepted Answer

*(The hyperbola and ellipse equations were not preserved in the source. The stated answer is option C, $10\sqrt5/3$.)*

Solutions · 1