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If (sin^(-1)x+sin^(-1)w)(sin^(-1)y+sin^(...

If `(sin^(-1)x+sin^(-1)w)(sin^(-1)y+sin^(-1)z)=pi^(2)`, then`D=|(x^(N_(1)),y^(N_(2))),(z^(N_(3)),w^(N_(4)))|(N_(1),N_(2),N_(3),N_(4)inN)`

A

has a maximum value of 2

B

has a minimum value of 0

C

16 different D are possible

D

has a minimum value of -2

Text Solution

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The correct Answer is:
A, C, D
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Knowledge Check

  • If sin^(-1)x +sin^(-1)y+sin^(-1)z=pi then x^(4)+y^(4)+z^(4)+4x^(2)y^(2)z^(2)=

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  • If n in N, sum_(k=1)^(n)sin^(-1(x_(k))=(npi)/2 then the value of sum_(k=1)^(n)x_(k)=

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