The equation $x^2-5xy+py^2+3x-8y+2=0$ represents a pair of straight lines. If $\theta$ is the angle between them, then $\sin \theta=$

Question

$$(a)\;\frac{1}{\sqrt {50}}\quad (b)\;\frac{1}{7} \quad (c)\;\frac{1}{5} \quad (d)\;\frac{1}{\sqrt {10}}$$