A) \[y-5=0\]
B) \[x-5=0\]
C) \[y+5=0\]
D) \[x+5=0\]
Correct Answer: B
Solution :
The internal bisector of the angle A will divide the opposite side \[BC\]at \[D\]in the ratio of arms of the angle i.e.\[AB=3\sqrt{2}\]and \[AC=4\sqrt{2}\]. Hence by ratio formula the point D is \[\left( \frac{31}{7},1 \right)\]. Slope of \[AD\]by \[\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}}=0\]. \ Slope of a line perpendicular to \[AD\]is \[\infty \]. Any line through C perpendicular to this bisector is \[\frac{y-5}{x-5}=m=\infty \]; \ \[x-5=0\].You need to login to perform this action.
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