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If four points be taken on the hyperbola xy = c such that chords joining any two points is perpendicular to the chord joining

If four points be taken on the hyperbola xy = c such that chords joining any two points is perpendicular to the chord joining the other two, and if a, , 8 be the inclinations to either asympotates of the straight lines joining these points to the centre, prove that : tana tan tany tand = 1.

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