The three sides of a triangle are given by $\left(x^2+7 x y+2 y^2\right)(y-1)=0$. Then the centroid of that triangle is

• A

  $\left(\frac{2}{3}, 0\right)$
• B

  $\left(\frac{7}{3}, \frac{2}{3}\right)$
• Correct answer
  C

  $\left(\frac{-7}{3}, \frac{2}{3}\right)$
• D

  $\left(\frac{1}{3}, \frac{4}{3}\right)$

Hence, the correct answer is option: 'C'.