If f(x)=|{:( sin^2 theta , cos^(2) theta...

If `f(x)=|{:( sin^2 theta , cos^(2) theta , x),(cos^(2) theta , x , sin^(2) theta ),( x , sin^(2) theta , cos^2 theta ):}| theta in (0,pi//2),` then roots of f(x)=0 are

A

1/2,-1

B

1/2,-1,0

C

`-1//2,1,0`

D

`-1//2,-1,0`

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The correct Answer is:

A

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