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If the system of equations x= cy +bz, y=...

If the system of equations x= cy +bz, y=az +cx and z=bx+ay has a non - trivial solution then

A

`a^(2)+b^(2)+c^(2)`=1

B

abc`ne`1

C

a+b+c=0

D

`a^(2)+b^(2)+c^(2)+2abc=1`

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The correct Answer is:
A, B, C
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