The vector equation of the plane passing through the points $(1,-2,5), (0,-5,-1)$ and $(-3,5,0)$ is

• Correct answer
  A

  $\overline{r}=(1-\lambda -4\mu )\overline{i}-(2+3\lambda -7\mu )\overline{j}+(5-6\lambda -5\mu )\overline{k}$
• B

  $\overline{r}=(1+\lambda +4\mu )\overline{i}-(2-3\lambda +7\mu )\overline{j}+(5-6\lambda -5\mu )\overline{k}$
• C

  $\overline{r}=(1-\lambda +4\mu )\overline{i}-(2+3\lambda +7\mu )\overline{j}+(5-6\lambda +5\mu )\overline{k}$
• D

  $\overline{r}=(1+\lambda -4\mu )\overline{i}+(2+3\lambda -7\mu )\overline{j}+(5+6\lambda -5\mu )\overline{k}$

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