Let a complex number be w=1-sqrt3I, Let ...

Let a complex number be `w=1-sqrt3`I, Let another complex number z be such that |z w|=1 and arg(z)-arg (w) `=pi/2`. Then the area of the triangle with vertices origin, z and w is equal to :

A

2

B

`1/4`

C

`1/2`

D

4

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