JEE Main 2016 Mathematics question

MathematicsStraight LinesJEE Main 2016

A ray of light is incident along a line which meets another line at the point . The ray is then reflected from this point along the line . Then the equation of the line of incidence of the ray of light is :

Answer: (3)

Solution

The mirror is the line , and reflection in it maps the reflected ray onto the incident ray. Pick a convenient point on the reflected ray , say , and reflect it in the mirror. With normal and ,

= ,

so the image is

(1,-1) -

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Question ID VK-115653