Three points \( A, B \) and \( C \) are taken on rectangular hyperbola \( x y=4 \) where \( B(-2...

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Three points \( A, B \) and \( C \) are taken on rectangular hyperbola \( x y=4 \) where \( B(-2,-2) \) and \( C(6,2 / 3) \). The normal at \( A \) is parallel to \( B C \), then
(a) Circumcentre of \( \triangle A B C \) is \( (2,-2 / 3) \)
(b) Equation of circumcircle of \( \triangle A B C \) is \( 3 x^{2}+3 y^{2}-12 x+ \) \( 4 y-40=0 \)
(c) Orthocenter of \( \triangle A B C \) is \( \left(\frac{2}{\sqrt{3}}, 2 \sqrt{3}\right) \)
(d) None of these
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