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The values of k in R for which the syst...

The values of `k in R` for which the system of equations `x+k y+3z=0,k x+2y+2z=0,2x+3y+4z=0` admits of nontrivial solution is `2` b. `5//2` c. `3` d. `5//4`

A

2

B

`5//2`

C

`3`

D

`5//4`

Text Solution

Verified by Experts

The correct Answer is:
A, B
`|{:(1,,k,,3),(k,,2,,2),(2,,3,,4):}|=0`
`" or " 8+ 4k+9k -12 -4k^(2) -6=0`
`" or " 4k^(2) -13k+10=0`
`" or " 4k^(2) -8k -5k +10=0`
`" or " (2k -5)(k-2) =0`
`" or " k=5//2,2`
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