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Let H :(x^2)/(a^2)-(y^2)/(b^2)=1 , where...

Let `H :(x^2)/(a^2)-(y^2)/(b^2)=1` , where `a gtb gt0` , be a hyperbola in the `x y` -plane whose conjugate axis `L M` subtends an angle of `60^@` at one of its vertices `N` . Let the area of the triangle `L M N` be `4sqrt(3)`.

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