Let one focus of the hyperbola H: x^2/(a^2)-y^2/(b^2)=1 be at (√ 10, 0) and the corresponding directrix be x=9/(√ 10). If e and l respectively are…

Let one focus of the hyperbola H : $\displaystyle \frac{x^2}{\mathrm{a}^2}-\frac{y^2}{\mathrm{~b}^2}=1$ be at $\displaystyle (\sqrt{10}, 0)$ and the corresponding directrix be $\displaystyle x=\frac{9}{\sqrt{10}}$. If $\displaystyle e$ and $\displaystyle l$ respectively are the eccentricity and the length of the latus rectum of H, then $\displaystyle 9\left(e^2+l\right)$ is equal to :