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If `f:[0,pi/2)->R` is defined as `f(theta)=|(1,tantheta,1),(-tantheta,1,tantheta),(-1,-tantheta,1)|` Then, the range of `f` is

A

`(2,infty)`

B

`(-infty,-2)`

C

`[2,infty)`

D

`(-infty,2]`

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The correct Answer is:
B
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