JEE Mathematics · Medium

Ellipse and Hyperbola: Ellipse properties MCQ

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

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Ellipse propertiesMediumQuestion 400005

Question

The sum of distances from any point on an ellipse to its two foci equals:
  1. A
    2a (the major axis length)
    Correct
  2. B
    2b
  3. C
    2c
  4. D
    a + b

Correct answer

2a (the major axis length)

Explanation

Defining property of ellipse: for any point P on the ellipse, PF₁ + PF₂ = 2a. This is used in drawing ellipses with string and pins.