Given the system of straight line a(2x + y – 3) + b(3x + 2y – 5) = 0, the line of the system farthest form the point (4, –3) has the equation

The given system of lines pass through (1, 1)So, the required line is the through (1, 1) and perpendicularto the join of (1, 1) and (4, –3).∴ The equation of line is y-1x-1=34,ie.,3x-4y+1=0