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Question 400003
JEE Mathematics · Medium

Ellipse and Hyperbola: Hyperbola equation MCQ

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Hyperbola equationMediumQuestion 400003

Question

The standard equation of a hyperbola with transverse axis along x is:
  1. A
    x²/a² − y²/b² = 1
    Correct
  2. B
    x²/a² + y²/b² = 1
  3. C
    y²/a² − x²/b² = 1
  4. D
    x²/a² + y²/b² = −1

Correct answer

x²/a² − y²/b² = 1

Explanation

Standard hyperbola: x²/a² − y²/b² = 1. c² = a² + b². Eccentricity e = c/a > 1. Foci at (±c, 0). Asymptotes: y = ±(b/a)x.

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