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Consider the system of equations {:(2x...

Consider the system of equations
`{:(2x+lambday+6z=8),(x+2y+muz=5),(x+y+3z=4):}`
The system of equations has :
No solution if :

A

`lambda=2, mu=3`

B

`lambdane 2 , mu=3`

C

`lambda ne 2, mu ne 3 `

D

`lambda =2 , mu in R `

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • Consider the system of equations {:(2x+lambday+6z=8),(x+2y+muz=5),(x+y+3z=4):} The system of equations has : Exactly one solution if :

    A
    `lambda=2, mu=3`
    B
    `lambdane 2 , mu=3`
    C
    `lambda ne 2, mu ne 3 `
    D
    `lambda =2 , mu in R `

  • Consider the system of equations {:(2x+lambday+6z=8),(x+2y+muz=5),(x+y+3z=4):} The system of equations has : Infinitely many solutions if :

    A
    `lambda=2, mu=3`
    B
    `lambdane 2 , mu=3`
    C
    `lambda ne 2, mu ne 3 `
    D
    `lambda =2 , mu in R `

  • Consider the system of equations 2x+lambday+6z=8 x+2y+muz=5 x+y+3z=4 The system of equations has : Exactly one solution if :

    A
    `lambda=2,mu=3`
    B
    `lambdane2,mu=3`
    C
    `lambdane2,mune3`
    D
    `lambda=2,mu in R`

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