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AP EAMCET202017 Sep 2020Evening ShiftMathematicsThree Dimensional GeometryActual

If a line makes angles (90^ , 135^ ) and (45^ ) with the positive directions of (X, Y, Z )-axes respectively. Then, its direction cosines are

Options

  1. A( (0, -1 2 , 1 2 ) )
  2. B( (0, 1 2 , 1 2 ) )
  3. C( (0, -1 2 , -1 2 ) )
  4. D( (0, 1 2 , -1 2 ) )

Correct answer

A. ( (0, -1 2 , 1 2 ) )

Step-by-step solution

Given angles made by line with axes are ( =90^ , =135^ , =45^ ) So, direction cosines are, ( aligned & = 90^ =0 & = 135^ =- 1 2 & = 45^ = 1 2 aligned )

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