Let A={theta in (-pi /2,pi):(3+2i sin th...

Let `A={theta in (-pi /2,pi):(3+2i sin theta )/(1-2 sin theta )` is purely imaginary }
Then the sum of the elements in A is

A

`(5pi)/(6)`

B

`pi`

C

`(3pi)/(4)`

D

`(2pi)/(3)`

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The correct Answer is:

D

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