The points of intersection of asymptotes with directrices lies on

Auxillary circle

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Director circle

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Transverse axis

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Conjugate axis

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Solution

The correct option is A Auxillary circle
Asymptotes of a hyperbola are the diagonals of the rectangle formed by the lines drawn through the extremities of each axis parallel to the other axis.
A perpendicular drawn from the foci on either asymptote meet it in the same points as the corresponding directrix and the common points of intersection lie on the auxiliary circle.

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