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 the above
Correct Answer: B
Solution :
Slop 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 \[\tan {{45}^{o}}=\pm \frac{m-\frac{8}{15}}{1+\frac{8}{15}m}\] \[\Rightarrow \] \[(15+8m)=\pm (15m-8)\] \[\Rightarrow \] \[m=\frac{23}{7}\]and\[-\frac{7}{23}\] Hence, the equation 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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