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Let a triangle ABC be inscribed in the c...

Let a triangle ABC be inscribed in the circle `x^(2)- sqrt2 (x+y) + y^(2)= 0` such that `angleBAC= (pi)/(2)`. If the length of the side AB is `sqrt2` then the area of the `Delta ABC` is equal to:

A

1

B

`(sqrt6+ sqrt3)//2`

C

`(3 + sqrt3)//4`

D

`(sqrt6+ 2 sqrt3)//4`

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