JEE Mathematics · Hard

Ellipse and Hyperbola: Mixed MCQ

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

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MixedHardQuestion 400012

Question

The area of the ellipse x²/a² + y²/b² = 1 is:
  1. A
    πab
    Correct
  2. B
    πa²
  3. C
    πb²
  4. D
    2πab

Correct answer

πab

Explanation

Area of ellipse = πab. For a circle (a = b = r): area = πr². The ellipse with semi-axes a and b is a 'stretched' circle.