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If f(theta)=|(1, cos theta, 1),(-sin the...

If `f(theta)=|(1, cos theta, 1),(-sin theta, 1,-cos theta),(-1,sin theta,1)|` and A and B are respectively the maximum and the minimum values of `f(theta)`, then (A, B) is equal to

A

(3, -1)

B

`(4, 2-sqrt(2)`

C

`(2+sqrt(2), 2-sqrt(2))`

D

`(2+sqrt(2), -1)`

Text Solution

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The correct Answer is:
C
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