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

• A

  $\left(-\frac{{\displaystyle 7}}{{\displaystyle 3}},\frac{{\displaystyle 7}}{{\displaystyle 3}}\right)$

• B

  $\left(-\frac{{\displaystyle 8}}{{\displaystyle 3}},\frac{{\displaystyle 8}}{{\displaystyle 3}}\right)$

• C

  $\left(\frac{{\displaystyle 8}}{{\displaystyle 3}},\frac{{\displaystyle 8}}{{\displaystyle 3}}\right)$

• D

  $\left(\frac{{\displaystyle 4}}{{\displaystyle 3}},\frac{{\displaystyle 4}}{{\displaystyle 3}}\right)$