A) \[9/2\]
B) \[2\sqrt{2}\]
C) \[3\sqrt{2}\]
D) \[3/2\]
Correct Answer: B
Solution :
Equation of common chord PQ is \[2x+1=0\] \[{{C}_{1}}M\] = perpendicular distance of common chord from centre \[{{C}_{1}}\]\[=\left| \frac{-2+1}{\sqrt{{{2}^{2}}}} \right|=\left| -\frac{1}{2} \right|\] Here; \[{{C}_{1}}\,\left( -1,-\frac{3}{2} \right)\,,\] \[{{r}_{1}}=\frac{3}{2}={{C}_{1}}P\] PQ = 2PM \[=2\sqrt{{{C}_{1}}{{P}^{2}}-{{C}_{1}}{{M}^{2}}}\]\[=2\sqrt{\frac{9}{4}-\frac{1}{4}}=2\sqrt{2}\].You need to login to perform this action.
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