A) 4
B) 2
C) 0
D) None of these
Correct Answer: D
Solution :
\[{{\sin }^{2}}\theta +3\cos \theta =3\] \[\Rightarrow \] \[1-{{\cos }^{2}}\theta +3\cos \theta =3\] \[\Rightarrow \] \[{{\cos }^{2}}\theta -3\cos \theta +2=0\] \[\Rightarrow \] \[(\cos \theta -1)(\cos \theta -2)=0\] \[\therefore \] \[\cos \theta =1\] \[(\because \,\,\cos \theta \ne 2)\] \[\Rightarrow \] \[\theta ={{0}^{o}}\]as\[\theta \in [-\pi ,\,\,\pi ]\] \[\therefore \] The number of solution is 1.
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