A) If \[\alpha ={{30}^{o}}\]
B) If \[\alpha ={{60}^{o}}\]
C) For all values of \[\alpha \]
D) None of these
Correct Answer: C
Solution :
According to the condition of tangency \[r=\frac{a\cos \alpha +b\sin \alpha -(a\cos \alpha +b\sin \alpha )-r}{\sqrt{{{\cos }^{2}}\alpha +{{\sin }^{2}}\alpha }}\] \[\Rightarrow r=|-r|\ \Rightarrow r=r\]. Therefore, it is a tangent to the circle for all values ofa.
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