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JEE Math Practice Question

On which of the following lines lies the point of intersection of the line, $${{x - 4} \over 2} = {{y - 5} \over 2} = {{z - 3} \over 1}$$ and the plane, x + y + z = 2 ?

  1. A.$${{x - 4} \over 1} = {{y - 5} \over 1} = {{z - 5} \over { - 1}}$$
  2. B.$${{x - 2} \over 2} = {{y - 3} \over 2} = {{z + 3} \over 3}$$
  3. C.$${{x - 1} \over 1} = {{y - 3} \over 2} = {{z + 4} \over { - 5}}$$
  4. D.$${{x + 3} \over 3} = {{4 - y} \over 3} = {{z + 1} \over { - 2}}$$

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