A) \[\left( 13/5,\ 0 \right)\]
B) \[\left( 5/13,\ 0 \right)\]
C) (- 7, 0)
D) None of these
Correct Answer: A
Solution :
Let the coordinates of A be (a, 0). Then the slope of the reflected ray is \[\frac{3-0}{5-a}=\tan \theta ,\,\,(\text{say})\]. The slope of the incident ray =\[\frac{2-0}{1-a}=\tan (\pi -\theta )\] Since \[\tan \theta +\tan (\pi -\theta )=0\Rightarrow \frac{3}{5-a}+\frac{2}{1-a}=0\] Þ \[13-5a=0\Rightarrow a=\frac{13}{5}\] Thus the coordinates of A are\[\left( \frac{13}{5},0 \right)\].
You need to login to perform this action.
You will be redirected in
3 sec
