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The asymptotes of any hyperbola intersects at __________

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The asymptotes of any hyperbola intersects at __________

(a) On the directrix

(b) On the axis

(c) At focus

(d) Centre

I have been asked this question by my school principal while I was bunking the class.

The question is from Construction of Hyperbola topic in division Geometrical Construction of Engineering Drawing

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The correct choice is (d) Centre

For explanation: The asymptotes intersect at centre that is a midpoint of axis even for conjugate axis it is valid. Along with the hyperbola asymptotes are also symmetric about both axes so they should meet at centre only.

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