Question

If the hyperbola $x² - y² cosec²θ = 5$ and ellipse $x²cosec²θ + y² = 5$ has eccentricity $e_H$ and $e_E$ respectively and $e_H = \sqrt 7e_E$, then $θ$ is equal to

• A. $\frac \pi6$
• B. $\frac \pi3$
• C. $\frac \pi2$
• D. $\frac \pi4$

Answer 1

Answer: (A)

$\frac \pi6$

Answer 2

The correct option is (A): $\frac \pi6$.