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If a, b, c are different, then value of ...

If a, b, c are different, then value of x satisfying the equation
`|{:( 0 , x^(2) - a , x^(3) - b) , (x^(2) + a , 0 , x^(2) + c), (x^(4) + b , x- c , 0):}|=0` is

A

c

B

a

C

b

D

0

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The correct Answer is:
D
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