Question

A ray of light is sent along the line $x-2y-3=0$. Upon reaching the line $3x-2y-5=0$, the ray is reflected from it, then

• A. The equation of reflected ray must be of the form $x-2y-3+\lambda (3x-2y-5)=0$
• B. The equation of reflected ray must $29x-2y-33=0$
• C. The equation of reflected ray must be $29x-2y-31=0$
• D. The equation reflected by must be $x+2y=0$

Answer 1

The correct option is A The equation of reflected ray must be of the form $x-2y-3+\lambda (3x-2y-5)=0$

Reflected ray pass through intersect of $x-2y-3=0$ and $3x-2y-5=0$ Hence $x-2y-34\lambda (3x-2y-5)=0$