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A ray of light travelling along the line...

A ray of light travelling along the line OA (O being origin ) is reflected by the line mirror `x-y +1=0` is the point of incidence being A (1,2) the reflected ray , travelling along AB is again reflected by the line mirror `x-y=2`, the point of incidence being B. If this reflected ray moves along BC, find the equation of the lne BC.

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