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The number of real values of `lambda` for which the system of linear equations `2x+4y-lambdaz = 0,4x+lambday+2z=0,lambdax+2y+2z=0` has infinitely many solutions, is: (A) 0 (B) 1 (C) 2 (D) 3

A

0

B

1

C

2

D

3

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The correct Answer is:
B
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The number of real values of lambda for which the system of linear equations 2x+4y-lambda z=0,4x+lambda y+2z=0,lambda x+2y+2z=0 has infinitely many solutions,is: (A)0(B)1(C)2(D)3

The number of real values of for which the system of linear equations 2x+4y- lambdaz =0 , 4x+lambday +2z=0 , lambdax + 2y+2z=0 has infinitely many solutions , is :

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The system of linear equations lambdax+2y+2z=5 2lambda x+3y+5z=8 4x+lambday+6z=10 has :

The value of lambda and mu for which the system of linear equation x+y+z=2 x+2y+3z=5 x+3y+lambda z= mu has infinitely many solutions are , respectively :

The set of all values of lambda for which the systme of linear equations x-2y-2z = lambda x, x +2y +z = lambda y " and "-x-y = lambdaz has a non-trivial solution.

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