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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 infenitely many solutions for all values of `lambda and mu`

B

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

C

If `lambda+mu=0`,then the system has infenitely many solutions for all values of a=-3

D

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

Text Solution

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The correct Answer is:
B, C, D
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RESONANCE ENGLISH-MATRICES & DETERMINANT-EXERCISE-3
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  4. Let P=[a(i j)] be a 3xx3 matrix and let Q=[b(i j)],w h e r eb(i j)=2^(...

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  7. For 3xx3 matrices M \ a n d \ N , which of the following statement (s)...

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  8. Let M be a 2xx2 symmetric matrix with integer entries. Then , M is i...

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  9. Let M and N be two 3xx3 matrices such that MN=NM. Further, if M ne N^(...

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  11. Which of the following values of alpha satisfying the equation |(1+alp...

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  13. The total number of distinct x in R for which |{:(x,,x^(2),,...

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  16. Which of the following is (are) NOT the square of a 3xx3 matrix with r...

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  18. How many 3xx3 matrices M with entries from {0, 1, 2} are there, for wh...

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  20. Let P be a matrix of order 3 x 3 such that all the entries in P are f...

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