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JEE Math Practice Question

If the equation of the plane containing the line $$x+2 y+3 z-4=0=2 x+y-z+5$$ and perpendicular to the plane $\vec{r}=(\hat{i}-\hat{j})+\lambda(\hat{i}+\hat{j}+\hat{k})+\mu(\hat{i}-2 \hat{j}+3 \hat{k})$ is $a x+b y+c z=4$, then $$(a-b+c)$$ is equal to :

  1. A.18
  2. B.22
  3. C.20
  4. D.24

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