| Let a, \[\lambda ,\] \[\mu \in R\]. Consider the system of linear equations |
| \[ax+2y=\lambda \] |
| \[3x-2y=\mu \] |
| Which of the following statement(s) is (are) correct? |
A) If \[a\ne -\,3,\] then the system has a unique solution for all values of \[\lambda \] and \[\mu \]
B) If \[\lambda +\mu =0\], then the system has infinitely many solutions for \[a=-\,3\]
C) If \[\lambda +\mu \ne 0,\] then the system has no solution for \[a=-\,3\]
D) AII of these
E) None of these
Correct Answer: D
Solution :
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