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 the point A are

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

Hint:

Use reflection method for reflection problems.

Answer 1

The Correct Option is A

Step 1: Reflect (5,3) in x-axis to (5,-3).
Step 2: Find intersection of line joining (1,2) and (5,-3) with x-axis.
Step 3: Equation gives x=(13)/(5).