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
The given equations are:
5x - 4y + 8 = 0
7x + 6y - 9 = 0
Comparing these equations with a1x+b1y+c1=0 and 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=8−9
Hence, a1a2≠b1b2
Therefore, the lines representing the given pair of linear equations intersect at a point.