A) non-parallel
B) parallel
C) intersect at one point
D) overlapping each other
Correct Answer: B
Solution :
| Here \[{{a}_{1}}=2,\,{{b}_{1}}=1,\,{{c}_{1}}=1600\] |
| and \[{{a}_{2}}=2,\,{{b}_{2}}=1,\,{{c}_{2}}=1500\] |
| \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{2}{2}=1,\,\frac{{{b}_{1}}}{{{b}_{2}}}=1,\,\frac{{{c}_{1}}}{{{c}_{2}}}=\frac{1600}{1500}=\frac{16}{15}\] |
| \[\frac{{{a}_{{}}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}\ne \frac{{{c}_{1}}}{{{c}_{2}}}\] |
| Hence, the system have no solution (parallel lines). |
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