Zaymiey

📐 Mathematics  ·  Conic Sections  ·  JEE

For the ellipse x²/25 + y²/16 = 1, the value of a (semi-major axis) is:

Answer: 5.

  • A 5
  • B 4
  • C 25
  • D 16

Correct answer: A. 5

Explanation: a² = 25, so a = 5.

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 →