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JEE Math Practice Question

Let the line $$\mathrm{L}$$ pass through the point $$(0,1,2)$$, intersect the line $$\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$$ and be parallel to the plane $$2 x+y-3 z=4$$. Then the distance of the point $$\mathrm{P}(1,-9,2)$$ from the line $$\mathrm{L}$$ is :

  1. A.9
  2. B.$$\sqrt{74}$$
  3. C.$$\sqrt{69}$$
  4. D.$$\sqrt{54}$$

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