A line makes an angle of π4with the positive directions of each of y-and z-axes. Then the angle that the line makes with the positive direction of x-axis, is

A line makes an angle of π4with the positive directions of each of y-and z-axes. Then the angle that the line makes with the positive direction of 

x-axis, is

  1. A

    π

  2. B

    π4

  3. C

    π6

  4. D

    π2

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    Solution:

    If α,β,γ are the angles made by a line ‘L’ with the coordinate axes in the positive direction then cos2α+cos2β+cos2γ=1

    Given β=π4,γ=π4

    Hence, cos2α+12+12=1cosγ=0

    Therefore, γ=π2

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