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NDA 2010
Exam
NDA
Year
2010
Subject
Mathematics
Chapter
Ellipse

NDA 2010 · Mathematics · Ellipse

A circle is drawn with the two foci of an ellipse...

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

Options

  1. Ax2+y2=a2+b2x^2+y^2=a^2+b^2
  2. Bx2+y2=a2−b2x^2+y^2=a^2-b^2
  3. Cx2+y2=2(a2+b2)x^2+y^2=2 \left(a²+b²\right)
  4. Dx2+y2=2(a2−b2)x^2+y^2=2 \left(a²-b²\right)

Correct answer

A. x2+y2=a2+b2x^2+y^2=a^2+b^2

Step-by-step solution

The correct answer is option (A).
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