JEE Advanced Mathematics question

MathematicsStraight LinesJEE Advanced

A ray travelling along the line after being reflected from a line travels along the line . Then the equation of the line is

Answer: (B),(C)

Solution

The incident and reflected rays make equal angles with the mirror, so the mirror bisects an angle between the two lines (which line it is depends on the direction of travel). The bisectors of the angles between and are

=±.

- "+": $39x-52y-65=25x+60y-65\

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Question ID VK-108849