A) \[\frac{5}{4}\]
B) \[\frac{\sqrt{10}}{4}\]
C) \[\frac{\sqrt{13}}{3}\]
D) None of these
Correct Answer: A
Solution :
Equation of line \[AB\]is \[y-3=\frac{6-3}{7-3}(x-3)\] Þ \[3x-4y+3=0\Rightarrow \frac{x}{-1}+\frac{y}{3/4}=1\] Hence required length is \[\sqrt{{{(-1)}^{2}}+{{\left( \frac{3}{4} \right)}^{2}}}=\frac{5}{4}\].
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