Mathematics

Problem

2. On comparing the ratios

\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}}

and

\frac{c_{1}}{c_{2}}

, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident: (i)

5 x-4 y+8=0

7 x+6 y-9=0

(ii)

9 x+3 y+12=0

18 x+6 y+24=0

(iii)

6 x-3 y+10=0

2 x-y+9=0