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Ifalpha and beta be the eccentric angles...

If`alpha and beta` be the eccentric angles of the extremities of a focal chord of the hyperbola `b^(2)x^(2) - a^(2)y^(2) = a^(2)b^(2)`, show that, `tan(alpha)/(2)tan(beta)/(2) = -(e-1)/(e+1)`, `(e-1)/(e+1)` (e is the eccentricity of the hyperbola.).

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