Zaymiey

📐 Mathematics  ·  Conic Sections  ·  JEE

The centre of the hyperbola (x − 1)²/4 − (y − 2)²/9 = 1 is:

Answer: (1, 2).

  • A (1, 2)
  • B (−1, −2)
  • C (2, 1)
  • D (0, 0)

Correct answer: A. (1, 2)

Explanation: The centre is read directly as (1, 2).

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 →