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Question 2 (iii)
On comparing the ratios a1a2, b1b2 and c1c2 , find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident.
6x – 3y + 10 = 0
2x y + 9 = 0

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Solution

6x – 3y + 10 = 0
2x y + 9 = 0


Comparing these equations with a1x+b1y+c1=0 and a2x+b2y+c2=0, we get,
a1=6,b1=3, and c1=10
a2=2,b2=1 and c2=9

a1a2=63=21

b1b2=21=21 and

c1c2=109

Hence, a1a2=b1b2c1c2


Therefore, the lines representing the given pair of linear equations are parallel


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