A) 11
B) \[\frac{4}{5}\sqrt{21}\]
C) \[\sqrt{\frac{17}{3}}\]
D) None of these
Correct Answer: B
Solution :
Here the equation of AB (chord of contact) is \[0+0-3(x+0)-4(y+0)+21=0\] \[\Rightarrow 3x+4y-21=0\] ?. (i) CM = perpendicular distance from (3, 4) to line (i) is \[\frac{3\times 3+4\times 4-21}{\sqrt{9+16}}=\frac{4}{5}\] \[AM=\sqrt{A{{C}^{2}}-C{{M}^{2}}}=\sqrt{4-\frac{16}{25}}=\frac{2}{5}\sqrt{21}\] \[\therefore \ \ AB=2AM=\frac{4}{5}\sqrt{21}\] .You need to login to perform this action.
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