If $\alpha\cos^23\theta+\beta\cos^4\theta=16\cos^6\theta+9\cos^2\theta$ is an identity then

Question

$\begin{array}{1 1}(a)\;\alpha=1,\beta=18&(b)\;\alpha=1,\beta=24\\(c)\;\alpha=3,\beta=24&(d)\;\alpha=4,\beta=2\end{array}$