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Question 400004
JEE Mathematics · Medium

Ellipse and Hyperbola: Rectangular hyperbola MCQ

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Rectangular hyperbolaMediumQuestion 400004

Question

For a rectangular hyperbola, the asymptotes are:
  1. A
    Perpendicular (a = b, equation xy = c²)
    Correct
  2. B
    Parallel
  3. C
    At 60° to each other
  4. D
    Along the axes only

Correct answer

Perpendicular (a = b, equation xy = c²)

Explanation

A rectangular hyperbola has a = b → asymptotes y = ±x (perpendicular). Equivalently, in rotated form: xy = c². Points on this hyperbola: (ct, c/t).

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