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MHT CET202012 Oct 2020Morning ShiftMathematicsThree Dimensional GeometryActual

If 0 (0,0,0), P (1, 2 , 1) , then the acute angles made by the line OP with XOY, YOZ, ZOX planes are, respectively

Options

  1. A45^ , 45^ , 60^
  2. B45^ , 60^ , 30^
  3. C60^ , 45^ , 60^
  4. D30^ , 30^ , 45^

Correct answer

D. 30^ , 30^ , 45^

Step-by-step solution

Direction ratios of line OP are 1, 2 , 1 . Hence direction cosines of line OP are 1 1+2+1 , 2 1+2+1 , 1 1+2+1 = 1 2 , 1 2 , 1 2 Hence angles made with given planes are 60^ , 45^ , 60^

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