A) \[k\ne -3\]
B) \[k\ne \frac{2}{3}\]
C) \[k\ne 5\]
D) \[k\ne \frac{2}{9}\]
Correct Answer: A
Solution :
| [a] Given the pair of linear equations are: |
| \[2kx+5y-7=0\]and \[6x-5y-11=0\] |
| On comparing with |
| \[{{a}_{1}}x+{{b}_{1}}y+{{c}_{1}}=0\]and \[{{a}_{2}}x+{{b}_{2}}y+{{c}_{2}}=0\] |
| we get, \[{{a}_{1}}=2k,\,{{b}_{1}}=5,\,\,{{c}_{1}}=-7\] |
| and \[{{a}_{2}}=6,\,{{b}_{2}}=-5,\,\,{{c}_{2}}=-11\] |
| For unique solution, |
| \[\frac{{{a}_{1}}}{{{a}_{2}}}\ne \frac{{{b}_{1}}}{{{b}_{2}}}\,\,\,\,\Rightarrow \,\,\,\,\frac{2k}{5}\ne \frac{5}{-5}\] |
| \[\frac{k}{3}\ne -1\,\,\,\,\Rightarrow \,\,\,\,k\ne -3\] |
You need to login to perform this action.
You will be redirected in
3 sec
