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If the system of linear equation x+y+z=6...

If the system of linear equation `x+y+z=6,x+2y+3c=14 ,a n d2x+5y+lambdaz=mu(lambda,mu R)` has a unique solution, then `lambda=8` b. `lambda=8,mu=36` c.`lambda=8,mu!=36""` d. none of these

A

`lambda ne 8`

B

`lambda =8,mu ne 36`

C

`lambda=8 , mu =36`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
The given system of linear equations has a unique solution if
`|{:(1,,1,,1),(1,,2,,3),(2,,5,,lambda):}| ne 0`
`i.e., " if " lambda- 8 ne 0 " or " lambda ne 8.`
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