Given the linear equation , write another linear equation in two variables such that the geometrical representation of the pair so formed is

(i) intersecting lines (ii) Parallel lines


(iii) coincident lines

Two lines, a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0


If , then the lines coincide


If , then the lines are parallel


If , then the lines intersect


Given line


i) intersecting line : 3x + 2y – 6 = 0


ii) parallel line : 4x + 6y = 15


iii) coincident line : 4x + 6y – 16 = 0


38