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Question 400008
JEE Mathematics · Hard

Ellipse and Hyperbola: Director circle MCQ

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Director circleHardQuestion 400008

Question

The director circle of x²/a² + y²/b² = 1 has equation:
  1. A
    x² + y² = a² + b²
    Correct
  2. B
    x² + y² = a² − b²
  3. C
    x² + y² = 2ab
  4. D
    x² + y² = a²

Correct answer

x² + y² = a² + b²

Explanation

The director circle of an ellipse is the locus of points from which the two tangents to the ellipse are perpendicular. Its equation is x² + y² = a² + b².

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