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📐 Mathematics  ·  Conic Sections  ·  JEE

The vertices of the hyperbola x²/a² − y²/b² = 1 are located at:

Answer: (±a, 0).

  • A (±a, 0)
  • B (0, ±b)
  • C (±b, 0)
  • D (0, ±a)

Correct answer: A. (±a, 0)

Explanation: The transverse axis lies along the x-axis, giving vertices (±a, 0).

The Four Conics by EccentricityCircle (e=0)Ellipse (0<e<1)Parabola (e=1)Hyperbola (e>1)

All four conics form a single family distinguished only by eccentricity: a circle is the most "closed" (e=0), an ellipse is an elongated closed curve, a parabola is the borderline open curve (e=1), and a hyperbola has two separate open branches (e>1).

Concept context

Study circles, parabolas, ellipses, and hyperbolas as curves formed by intersecting a plane with a double cone, with their standard equations and key properties.

Read the full Conic Sections notes →