The equation of the line passing through the point of intersection of $\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$ and $\frac{x-4}{5}=\frac{y-1}{2}=z$ and also through the point $(2,1,-2)$ is

  • A
    $\overline{r}=(-\hat{i}-\hat{j}-\hat{k})+\lambda(\hat{i}+2 \hat{j}+\hat{k})$
  • B
    $\overline{r}=(-\hat{i}-\hat{j}+\hat{k})+\lambda(2 \hat{i}+2 \hat{j}+\hat{k})$
  • C
    $\frac{x+1}{3}=\frac{y+1}{2}=\frac{z+1}{-1}$
  • D
    $\frac{x-1}{3}=\frac{y-1}{2}=\frac{z+1}{1}$

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