Question

A ray of light coming from the point (1,2) is reflected at a point A on the x-axis and then passes through the point (5,3). The coordinates of point A is

• A. \(\left(\dfrac{13}{5},0\right)\)
• B. \(\left(\dfrac{5}{13},0\right)\)
• C. \((-7,0)\)
• D. None of these

Hint:

Reflection problems can be simplified using mirror image technique.

Answer 1

The Correct Option is A

Reflect point (5,3) in x-axis to get (5,-3). Equation of line joining (1,2) and (5,-3) intersects x-axis at: A((13)/(5),0)