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Question: If a line makes angles of \(30 ^ { \circ }\)and \(45 ^ { \circ }\)with x-axis and y-axis, then the a...

If a line makes angles of 30∘30 ^ { \circ }and 45∘45 ^ { \circ }with x-axis and y-axis, then the angle made by it with z−z -axis is

A

45∘45 ^ { \circ }

B

60∘60 ^ { \circ }

C

120∘120 ^ { \circ }

D

None of these

Answer

None of these

Explanation

Solution

cos⁡γ=1−34−12=−14\cos \gamma = \sqrt { 1 - \frac { 3 } { 4 } - \frac { 1 } { 2 } } = \sqrt { \frac { - 1 } { 4 } } which is not possible.