If a, b,c> 0 and x,y,z in RR then the d...

If `a, b,c> 0` and `x,y,z in RR` then the determinant `|((a^x+a^-x)^2,(a^x-a^-x)^2,1),((b^y+b^-y)^2,(b^y-b^-y)^2,1),((c^z+c^-z)^2,(c^z-c^-z)^2,1)|` is equal to:

A

`a^(x)b^(y)c^(z)`

B

`a^(-x)b^(-y)c^(-z)`

C

`a^(2x)b^(2y)c^(2z)`

D

zero

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The correct Answer is:

D

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