Consider the Hyperbola $\frac{x^2}{36}-\frac{y^2}{25}=1$

Question

A chord $QPL$ meets an asymptote in $L$ and a tangent from $L$ is drawn touching at $R$. If $PM$, $RE$, $QN$ be drawn parallel to asymptote to meet the other asymptote,

$$PM+QN= t*RE$$

Than range of $t$ is ?

Answer:

$t$<$\frac{5}{2}$