A) \[\frac{\pi }{3}\]
B) \[\frac{\pi }{4}\]
C) \[\frac{\pi }{2}\]
D) \[\frac{\pi }{6}\]
Correct Answer: C
Solution :
[c] Here \[l=\cos \frac{\pi }{4},m=\cos \frac{\pi }{4}\] Let the line make an angle \[\gamma \] with the z-axis. Then \[{{l}^{2}}+{{m}^{2}}+{{n}^{2}}=1\] Or \[{{\cos }^{2}}\frac{\pi }{4}+{{\cos }^{2}}\frac{\pi }{4}+{{\cos }^{2}}\gamma =1\] Or \[\frac{1}{2}+\frac{1}{2}+{{\cos }^{2}}\gamma =1\] Or \[2{{\cos }^{2}}\gamma =0\] or \[\cos \gamma =0\] or \[\gamma =-\]
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