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The value of the determinant |(1,(alpha...

The value of the determinant `|(1,(alpha^(2x)-alpha^(-2x))^2,(alpha^(2x)+alpha^(-2x))^2),(1,(beta^(2x)-beta^(-2x))^2,(beta^(2x)+beta^(-2x))^2),(1,(gamma^(2x)-gamma^(-2x))^2,(gamma^(2x)+gamma^(-2x))^2)|` is (a) 0 (b) `(alphabeta gamma)^(2x)` (c) `(alpha beta gamma)^(-2x)` (d) None of these

A

0

B

`(alphabeta)^(2x)`

C

`(alphabeta)^(-2x)`

D

None of these

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