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JEE Math Practice Question

Let P be the point of intersection of the line $${{x + 3} \over 3} = {{y + 2} \over 1} = {{1 - z} \over 2}$$ and the plane $$x+y+z=2$$. If the distance of the point P from the plane $$3x - 4y + 12z = 32$$ is q, then q and 2q are the roots of the equation :

  1. A.$${x^2} + 18x - 72 = 0$$
  2. B.$${x^2} - 18x - 72 = 0$$
  3. C.$${x^2} + 18x + 72 = 0$$
  4. D.$${x^2} - 18x + 72 = 0$$

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