JEE Advanced Mathematics question

MathematicsStraight LinesJEE Advanced

A ray of light incident at the point gets reflected from the tangent at to the circle . The reflected ray touches the circle. The equation of the line along which the incident ray moved is

Answer: (B)

Solution

The tangent at is the mirror , and the point of incidence is on it.

*Reflected ray.* A line through : , i.e. . It touches iff its distance from is 1:

=1 ⇒ -4m+1=1+ ⇒

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Question ID VK-108954