A) \[k\ne 6\]and \[k=6\]
B) \[k\ne 3\]and \[k=3\]
C) \[k\ne 2\]and \[k=2\]
D) None of these
Correct Answer: A
Solution :
Here, the equation have an unique solution, if \[\frac{{{a}_{1}}}{{{a}_{2}}}\ne \frac{{{b}_{1}}}{{{b}_{2}}}\] i.e., if \[\frac{k}{3}\ne \frac{2}{1}\]\[\Rightarrow \]if \[k\ne 6\] The equation has no solution, if \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{b}\ne \frac{{{c}_{1}}}{{{c}_{2}}}\] \[\therefore \] \[\frac{k}{3}=\frac{2}{1}\]\[\Rightarrow \]\[k=6\]
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