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If the maximum and minimum values of the...

If the maximum and minimum values of the determinant
`|(1 + sin^(2)x,cos^(2) x,sin 2x),(sin^(2) x,1 + cos^(2) x,sin 2x),(sin^(2) x,cos^(2) x,1 + sin 2x)|` are `alpha and beta`, then

A

`alpha+beta^(99)=4`

B

`alpha^(3)-beta^(17)=26`

C

`(alpha^(2n)-beta^(2n))` is always an even integer for `n in N`

D

a triangle can be drawn having it's sides as `alpha,betaand alpha-beta`

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The correct Answer is:
A, B, C
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