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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`

Text Solution

Verified by Experts

The correct Answer is:
A
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