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


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