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NDA2013MathematicsThree Dimensional GeometryActual

If a line makes 30^ with the positive direction of x -axis, angle with the positive direction of y -axis and angle with the positive direction of z -axis, then what is ^2 + ^2 equal to?

Options

  1. A1 / 4
  2. B1 / 2
  3. C3 / 4
  4. D1

Correct answer

A. 1 / 4

Step-by-step solution

aligned & ^2 30^ + ^2 + ^2 =1 & ^2 + ^2 = 1 4 aligned

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