Question

On comparing the ratios

,


and


find out whether the lines
representing the pair of linear equations
6x – 3y + 10 = 0
2x – y + 9 = 0
intersect at a point , are parallel or coincident.

Answer 1

The linear equations are

6x-3y+10=0

2x-y+9=0

here a1=6, b1= -3, c1=10

a2=2, b2= -1, c2=9

: a1/a2 =6/2= 3

b1/b2= -3/-1 = 3

c1/c2= 10/9

a1/a2 = b1/b2 ≠ c1/c2

⇒ The line represented by the given equation are parallel.