A) \[\pi =2{{\sin }^{-1}}\left( \frac{5}{2\sqrt{13}} \right)\]
B) \[\pi ={{\sin }^{-1}}\left( \frac{5}{2\sqrt{13}} \right)\]
C) \[{{\cos }^{-1}}\left( \frac{5}{2\sqrt{13}} \right)\]
D) \[{{\cos }^{-1}}\left( \frac{5}{\sqrt{13}} \right)\]
Correct Answer: A
Solution :
[a] Centre \[(3,4),\] \[CP=\sqrt{52}=2\sqrt{13}\] Angle between tangents \[=2{{\sin }^{-1}}\left( \frac{5}{2\sqrt{13}} \right)\] Angle subtended by QR at \[C=\pi -2{{\sin }^{-1}}\left( \frac{5}{2\sqrt{13}} \right)\]You need to login to perform this action.
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