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Question 400006
JEE Mathematics · Medium

Ellipse and Hyperbola: Latus rectum MCQ

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Latus rectumMediumQuestion 400006

Question

The length of the latus rectum of x²/a² + y²/b² = 1 (a > b) is:
  1. A
    2b²/a
    Correct
  2. B
    2a²/b
  3. C
    2ab
  4. D
    b²/a

Correct answer

2b²/a

Explanation

Latus rectum of ellipse = chord through focus perpendicular to major axis. Length = 2b²/a. Similarly for hyperbola x²/a²−y²/b²=1: LR = 2b²/a.

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