A) \[D\,\left( \frac{1}{2},\,\,\frac{9}{2} \right)\,,\,\,B\,\left( -\frac{1}{2},\,\,\frac{5}{2} \right)\]
B) \[D\,\left( \frac{1}{2},\,\,\frac{9}{2} \right)\,,\,\,B\,\left( \frac{1}{2},\,\,\frac{5}{2} \right)\]
C) \[D\,\left( \frac{9}{2},\,\,\frac{1}{2} \right)\,,\,\,B\,\left( -\frac{1}{2},\,\,\frac{5}{2} \right)\]
D) None of these
Correct Answer: C
Solution :
Obviously, slope of \[AC=5/2\]. Let m be the slope of a line inclined at an angle of \[{{45}^{o}}\]to AC, then \[\tan {{45}^{o}}=\pm \frac{m-\frac{5}{2}}{1+m.\frac{5}{2}}\Rightarrow m=-\frac{7}{3},\frac{3}{7}\].You need to login to perform this action.
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