On comparing the ratios , and without drawing them, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincide:

(i)



(ii)



(iii)


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


(i)




Thus, .


The lines intersect.


(ii)




Thus,


The lines are coincident.


(iii)




Thus,


The lines are parallel.


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