A) \[\frac{\pi }{4}\]
B) \[\frac{\pi }{6}\]
C) \[\frac{\pi }{3}\]
D) \[\frac{3\pi }{4}\]
E) \[\frac{5\pi }{6}\]
Correct Answer: D
Solution :
Midpoint of\[(4,-5)\]and\[(-2,9)\] is (1, 2), slope of the line joining the points (1, 2) and\[(-3,6)\] \[=\frac{6-2}{-3-1}=\frac{4}{-4}=-1\] \[\Rightarrow \] \[\tan \theta =-1=\tan \frac{3\pi }{4}\] \[\Rightarrow \] \[\theta =\frac{3\pi }{4}\]You need to login to perform this action.
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