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📐 Mathematics  ·  Conic Sections  ·  JEE

The length of the latus rectum of the parabola y² = 12x is:

Answer: 12.

  • A 3
  • B 6
  • C 12
  • D 24

Correct answer: C. 12

Explanation: For y² = 4ax the latus rectum is 4a; here 4a = 12.

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 →