P is fixed point (a, a, a) on a line through the origin equally inclined to the axes…

Mathematics · JEE Advanced · NTA ExamsThree Dimensional Geometry

P is fixed point (a, a, a) on a line through the origin equally inclined to the axes, then any plane through P perpendicular to OP, makes intercepts on the axes, the sum of whose reciprocals is equal to
  1. a
  2. a/2
  3. 3a/2
  4. 1/a

Answer

(D) 1/a

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