JEE Mathematics · Easy

Ellipse and Hyperbola: Ellipse standard form MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Ellipse standard formEasyQuestion 400001

Question

The standard equation of an ellipse with semi-major axis a (along x) and semi-minor axis b is:
  1. A
    x²/a² + y²/b² = 1 (a > b)
    Correct
  2. B
    x²/b² + y²/a² = 1
  3. C
    x²/a² − y²/b² = 1
  4. D
    y²/a² + x²/b² = 1

Correct answer

x²/a² + y²/b² = 1 (a > b)

Explanation

Standard ellipse: x²/a² + y²/b² = 1 with a > b > 0. c² = a² − b² (c = focal distance). Eccentricity e = c/a (0 < e < 1). Foci at (±c, 0).