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A rectangular hyperbola is one whose asymptotes are

  • A.at right angles to one another
  • B.parallel to one another
  • C.coincident with the axes of the curve
  • D.tangent to the curve at its vertices

Answer: A

Correct answer: at right angles to one another

A rectangular hyperbola is the one whose asymptotes are perpendicular, which makes its eccentricity exactly the square root of two. Referred to those asymptotes as axes its equation is simply that the product of the coordinates is constant, which is why it describes an isothermal expansion and other inverse relationships.

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