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Let lamda be a real number for which the...

Let `lamda` be a real number for which the system of linear equations
`x+y+z=6`
`4x+lamday-lamdaz=lamda-2`
`3x+2y-4z=-5`
has infinity many solutions then `lamda` is a root of the quadratic equation:

A

`lamda^(2)+3lamda-4=0`

B

`lamda^(2)-3lamda-4=0`

C

`lamda^(2)+lamda-6=0`

D

`lamda^(2)-lamda-6=0`

Text Solution

Verified by Experts

The correct Answer is:
D
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