BITSAT 2017 Paper

The given system of lines passes through the point of intersection of the straight lines 2x+y–3=0 and 3x+2y–5=0[L1+lL2=0 form], which is (1,1).
The required line will also pass through this point. Further, the line will be farthest from point (4,–3) if it is in direction perpendicular to line joining (1,1) and (4,–3).
∴The equation of the required line is