The quadratic equation whose roots are $\sin ^2 18^{\circ}$ and $\cos ^2 36^{\circ}$ is :

Question

\[\begin {array} {1 1} (a)\;16x^2-12x+1=0 & \quad (b)\;16x^2+12x+1=0 \\ (c)\;16x^2-12x-1=0 & \quad (d)\;16x^2+10x+1=0 \end {array}\]