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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

Text Solution

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The correct Answer is:
B, C, D
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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE ADVANCED ARCHIVE
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