Let alpha, lambda , mu in R.Consider th...

Let `alpha, lambda , mu in R`.Consider the system of linear equations
`alphax+2y=lambda`
`3x-2y=mu`
Which of the following statement(s) is (are) correct ?

A

If a=-3, then the system has infinitely many solutions for all values of ` lambda` and `mu`

B

If `a ne -3 ` , then the system has a unique solution for all values of `lambda "and" mu`

C

If `lambda+mu` =0 , then the system has infinitely many solutions for a=-3

D

If `lambda+mu ne `0 then the system has no solution for a =-3

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The correct Answer is:

B, C, D

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