Let the latus rectum of a hyperbola (equation not preserved) subtend an angle of 3 at the …

Question

Let the latus rectum of a hyperbola (equation not preserved) subtend an angle of $\dfrac{\pi}{3}$ at the centre of the hyperbola. If $b^2$ is equal to $\dfrac{l}{m}(1+\sqrt n)$, where $l,m$ are coprime, then $l^2+m^2+n^2$ is equal to \_\_\_\_\_\_\_\_.

Answer: 182

Accepted Answer

*(The hyperbola's equation was not preserved in the source. The stated answer is $182$.)*

Solutions · 1