The product of the perpendicular distances from the origin on the pair of straight lines $12x^2+25xy+12y^2+10x+11y+z=0$ is :

Question

$$\begin {array} {1 1} (a)\;\frac{1}{25} & \quad (b)\;\frac{2}{25} \\ (c)\;\frac{3}{25} & \quad (d)\;\frac{4}{25} \end {array}$$