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If the point (2costheta, 2sintheta), for...

If the point `(2costheta, 2sintheta)`, for `theta in (0 ,2pi)` lies in the region between the lines x+y=2 and x-y=2 containing origin, then `theta` lies in

A

`(0,frac(pi)(2))cup(frac(3pi)(2),2pi)`

B

`[0,pi]`

C

`(frac(pi)(2),frac(3pi)(2))`

D

`[frac(pi)(4),frac(pi)(2)]`

Text Solution

Verified by Experts

The correct Answer is:
C
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