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JEE Main20253 Apr 2025Evening ShiftMathematicsThree Dimensional GeometryActual

Each of the angles and that a given line makes with the positive y - and z -axes, respectively, is half of the angle that this line makes with the positive x -axes. Then the sum of all possible values of the angle is

Options

  1. A3 4
  2. B2
  3. C3 2

Correct answer

A. 3 4

Step-by-step solution

aligned & = 2 , = 2 & ^2 + ^2 + ^2 =1 & ^2 +2 ^2 2 =1 & ^2 + =0 & ( +1)=0 & =0,-1 & = 2 , aligned Now = 2 4 , 2 so sum is 3 4

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