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NDA2010MathematicsEllipseActual

A circle is drawn with the two foci of an ellipse x^2 a^2 + y^2 b^2 =1 at the end of the diameter. What is the equation to the circle?

Options

  1. Ax^2+y^2=a^2+b^2
  2. Bx^2+y^2=a^2-b^2
  3. Cx^2+y^2=2 (a^2+b^2 )
  4. Dx^2+y^2=2 (a^2-b^2 )

Correct answer

A. x^2+y^2=a^2+b^2

Step-by-step solution

The correct answer is option (A).

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