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A hyperbola passes through the point P (...

A hyperbola passes through the point P `(sqrt2,sqrt3)` and has foci at `(+- 2,0)` them the tangent to this hyperbola at P also passes through the point (A) `(sqrt3,sqrt2)` (B) `(-sqrt2,-sqrt3)` (C) `(3sqrt2,2sqrt3)` (D) `(2sqrt2,3sqrt3)`

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(3 + sqrt2)(2-sqrt3)(3-sqrt2)(2+sqrt3)

1/(sqrt3 + sqrt2) + 1/(sqrt3 -sqrt2)=

(sqrt3+sqrt2)^(4)- (sqrt3-sqrt2)^(4) =