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Question 2 (i)
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.
5x - 4y + 8 = 0
7x + 6y - 9 = 0

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Solution

5x - 4y + 8 = 0
7x + 6y - 9 = 0
Comparing these equation with,
a1x+b1y+c1=0
a2x+b2y+c2=0
We get,
a1=5,b1=4, and c1=8
a2=7,b2=6 and c2=9
a1a2=57,
b1b2=46 and
c1c2=89
Hence, a1a2b1b2
Therefore, both are intersecting lines at one point.





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