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

`(2pi)/3`

B

`pi`

C

`(5pi)/6`

D

`(3pi)/4`

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The correct Answer is:

A

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