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JEE Math Practice Question

A plane P meets the coordinate axes at A, B and C respectively. The centroid of $$\Delta $$ABC is given to be (1, 1, 2). Then the equation of the line through this centroid and perpendicular to the plane P is :

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

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