question_answer

A ray of light passing through a point (1, 2) is reflected on the x-axis at point Q and passes through the point (5, 8). Then the abscissa of the point Q is

A) -3

B) 9/5

C) 13/5     

D) None of these

Correct Answer: B

Solution :

[b] Let point Q be (x, 0). Since, \[{{m}_{PQ}}=-{{m}_{RQ}}\] therefore \[\frac{0-2}{x-1}=-\left( \frac{8-0}{5-x} \right)\Rightarrow x=\frac{9}{5}\]