A) parallel
B) intersecting at one point
C) coincident
D) perpendicular to each other
Correct Answer: A
Solution :
| [a] Here, |
| \[{{a}_{1}}=9,\,{{b}_{1}}=3,{{c}_{1}}=5,\,{{a}_{2}}=6,{{b}_{2}}=2,\,{{c}_{2}}=7.\] |
| \[\therefore \,\,\,\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{9}{6}=\frac{3}{2},\,\,\frac{{{b}_{1}}}{{{b}_{2}}}=\frac{3}{2},\,\,\frac{{{c}_{1}}}{{{c}_{2}}}=\frac{5}{7}\] |
| Since, \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}\ne \frac{{{c}_{1}}}{{{c}_{2}}}\] |
| \[\therefore \] The given pair of equations represents parallel lines. |
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