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Hi Sarthak,
This would be the shortest way:
Find the point of intersection, say A, of the two lines. Then take a point on the line, whose reflection you need to get (say that point is B). Now find the reflection of B in the other line. Say that point is B"
Now find the equation of the line joining A and B" and that would be the equation of the reflected line.
Hope that helps.
All the best.
Regards,
Ashwin (IIT Madras).
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