If z (r) = cos ((pi)/(2 ^(r))) + i sin (...

If `z _(r) = cos ((pi)/(2 ^(r))) + i sin ((pi )/( 2 ^(r))), then z _(1) . z _(2). z _(3)...` upto ` oo` equals : a)-3 b)-2 c)-1 d)0

A

`-3`

B

`-2`

C

`1`

D

`0`

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The correct Answer is:

D

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