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Consider a branch of the hyperbola x^2-2...

Consider a branch of the hyperbola `x^2-2y^2-2sqrt2x-4sqrt2y-6=0` with vertex at the point A. Let B be one of the end points of its latus rectum . If C is the focus of the hyperbola nearest to the point A , then the area of the triangle ABC is :

A

`1-sqrt(2/3)`

B

`sqrt(3/2)-1`

C

`1+sqrt(2/3)`

D

`sqrt(2/3)+1`

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The correct Answer is:
B
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