A line with direction cosines proportional to 2, 1, 2 meets each of the lines x = y + a =…

Mathematics · JEE Main · NTA ExamsThree Dimensional Geometry

A line with direction cosines proportional to 2, 1, 2 meets each of the lines x = y + a = z and x + a = 2y = 2z. The co-ordinates of each of the points of intersection are given by
  1. (3a, 3a, 3a), (a, a, a)
  2. (3a, 2a, 3a), (a, a, a)
  3. (3a, 2a, 3a), (a, a, 2a)
  4. (2a, 3a, 3a), (2a, a, a)

Answer

(B) (3a, 2a, 3a), (a, a, a)

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