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The system of equations {:(kx+(k+1)y+(...

The system of equations
`{:(kx+(k+1)y+(k-1)z=0),((k+1)x+ky+(k+2)z=0),((k-1)x + (k+2)y+kz=0):}`
has a nontrivial solution for :

A

Exactly three real value of k

B

Exactly two real values of k

C

Exactly one real value of k

D

Infinite number of values of k

Text Solution

Verified by Experts

The correct Answer is:
C
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