The line $5x-2y+4k=0 $ is a tangent to $4x^{2}-y^{2}=36$ then $k$ is

Question

\[\begin{array}{1 1}(1)\frac{4}{9}&(2)\frac{2}{3}\\(3)\frac{9}{4}&(4)\frac{81}{16}\end{array}\]