A line in the 3-dimensional space makes an angle (0 < 2 ) with both the X and Y−axes. Then, the set of all values of θ is in the interval :

JEE Main 2014 Mathematics question

A line in the 3-dimensional space makes an angle with both the X and Y−axes. Then, the set of all values of θ is in the interval :

Answer: (3)

If the line makes angle θ with both the x- and y-axes and γ with the z-axis, then , so $γ = 1 - 2θ

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Question ID VK-104433