A) \[23x+7y=9,\ 7x+23y=53\]
B) \[23x-7y+9=0,\ 7x+23y+53=0\]
C) \[23x-7y-9=0,\ 7x+23y-53=0\]
D) None of these
Correct Answer: C
Solution :
Slope of \[BD\] is \[\frac{8}{15}\] and angle made by \[BD\]with AD and DC is \[{{45}^{o}}\]. So let slope of DC be m, then \[\tan {{45}^{o}}=\pm \frac{m-\frac{8}{15}}{1+\frac{8}{15}m}\] \[\Rightarrow (15+8m)=\pm (15m-8)\] Þ \[m=\frac{23}{7}\]and \[-\frac{7}{23}\] Hence the equations of DC and AD are \[y-2=\frac{23}{7}(x-1)\]\[\Rightarrow 23x-7y-9=0\] and \[y-2=-\frac{7}{23}(x-1)\]\[\Rightarrow 7x+23y-53=0\].You need to login to perform this action.
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