A) 1
B) 2
C) 3
D) none of these
Correct Answer: B
Solution :
Key Idea: If the line makes an angle \[\alpha ,\beta ,\gamma \]to the coordinate axes, then \[{{\cos }^{2}}\alpha +{{\cos }^{2}}\beta +{{\cos }^{2}}\gamma =1\] We know that \[{{\cos }^{2}}\alpha +{{\cos }^{2}}\beta +{{\cos }^{2}}\gamma =1\] \[\Rightarrow \]\[1-{{\sin }^{2}}\alpha +1-{{\sin }^{2}}\beta +1-{{\sin }^{2}}\gamma =1\] \[\Rightarrow \]\[{{\sin }^{2}}\alpha +{{\sin }^{2}}\beta +{{\sin }^{2}}\gamma =3-1\] \[=2\]
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