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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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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (More Than One Correct Option Type Questions)
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  7. If the maximum and minimum values of the determinant |(1 + sin^(2)x...

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  13. Evaluate (10!)/(3! 2! 2!)

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  14. The function f(x)={:{(x+2,ifxlt-1),(x^(2),if-1lexle1),((x-2)^(2),ifxge...

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  15. A function f is defined by f(x)=int(0)^(pi)cos t cos (x-t)dt, 0 lexle2...

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  16. Evaluate (n!)/(r!(n - r)! , when n = 7 , r = 5

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  18. Find the value of n , if (2n - 1)/(n - 2) = 3

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