A) one solution
B) two solutions
C) infinitely many solutions
D) no solution
Correct Answer: D
Solution :
| [d] Given lines are \[x+y-1=0\] and \[x+y+5=0\] |
| Here, \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{1}{1}=1,\,\,\,\frac{{{b}_{1}}}{{{b}_{2}}}=\frac{1}{1}=1,\,\frac{{{c}_{1}}}{{{c}_{2}}}=\frac{-1}{5}\Rightarrow \,\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}\ne \frac{{{c}_{1}}}{{{c}_{2}}}\] |
| So, the given equations has no solution. |
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