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 the linear equation .
An intersecting line is x + 2y – 4 =0
A parallel line is 4x + 6y – 12 = 0
A coincident line is 4x + 6y – 16 = 0