(Q.25). By comparing the ratios
a1
a2
,
b1
b2
,
c1
c2
 find out whether the lines represented by the following pairs of linear equations intersect at a point, are parallel or are coincident.

9x + 3y + 12 = 0

18x + 6y + 24 = 0

Given: 9x + 3y + 12 = 0

18x + 6y + 24 = 0

a1
a2
 =
=
1
;
b1
b2
 =
=
1
;
c1
c2
 =
=
1
∴
a1
a2
 =
b1
b2
 =
c1
c2

The lines are .