1.

On comparing the ratios a1a2, b1b2 and c1c2, 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) 5x − 4y + 8 = 07x + 6y − 9 = 0(ii) 9x + 3y + 12 = 018x + 6y + 24 = 0(iii) 6x − 3y + 10 = 02x − y + 9 = 0

Answer» On comparing the ratios a1a2, b1b2 and c1c2, 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) 5x − 4y + 8 = 0

7x + 6y − 9 = 0



(ii) 9x + 3y + 12 = 0

18x + 6y + 24 = 0



(iii) 6x − 3y + 10 = 0

2x − y + 9 = 0


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