Three Dimensional Geometry Question 67

Question: If a line makes angles of $ 30^{o} $ and $ 45^{o} $ with x-axis and y-axis, then the angle made by it with $ z- $ axis is

Options:

A) $ 45^{o} $

B) $ 60^{o} $

C) $ 120^{o} $

D) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

$ \cos \gamma =\sqrt{1-\frac{3}{4}-\frac{1}{2}}=\sqrt{\frac{-1}{4},} $ Which is not possible.