$A(-2,3)$ is a point on the line $4 x+3 y-1=0$. If the points on the line that are 10 units away from the point $A$ are $\left(x_1, y_1\right)$ and $\left(x_2, y_2\right)$, then $\left(x_1+y_1\right)^2+$ $\left(x_2+y_2\right)^2=$

• Correct answer
  A

  $10$
• B

  $90$
• C

  $180$
• D

  $405$

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