The centroid of the triangle formed by the pair of straight lines $12x^2+20xy+7y^2=0$ and the line $2x-3y+4=0$ is

Question

$$\begin {array} {1 1} (a)\;\bigg(-\frac{7}{3},\frac{7}{3}\bigg) & \quad (b)\;\bigg(-\frac{8}{3},\frac{8}{3}\bigg) \\ (c)\;\bigg(\frac{8}{3},\frac{8}{3}\bigg) & \quad (d)\;\bigg(\frac{4}{3},\frac{4}{3}\bigg) \end {array}$$