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MHT CET202014 Oct 2020Morning ShiftMathematicsThree Dimensional GeometryActual

The direction cosines of a line which lies in ZoX plane and makes an angle of 30^ with Z-axis are

Options

  1. A0, 1 2 , 3 2
  2. B1 2 , 0, 3 2
  3. C0, 3 2 , 1 2
  4. D3 2 , 0, 1 2

Correct answer

B. 1 2 , 0, 3 2

Step-by-step solution

Direction cosines are the cosines of the angles which a line makes with the positive coordinate axes in anticlockwise direction. They are represented by l, m, n where l , m , n correspond to the x -axis, y -axis, and z -axis respectively. One important property of direction cosines is that the sum of their squares is unity. i.e., l²+m²+n²=1 If the line lies in the zox plane, it implies that the y -axis is normal to the line as the y -axis is normal to the ZOX plane. Which means the angle the line makes with the y -

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