Question

If the distance between the foci is equal to the length of the latus rectum, then the eccentricity of the ellipse is

• A. \( \frac{\sqrt{5}+1}{2} \)
• B. \( \frac{1-\sqrt{5}}{2} \)
• C. \( \frac{\sqrt{5}-1}{2} \)
• D. \( \frac{1+\sqrt{5}}{2} \)

Hint:

For ellipse problems, always relate \(a, b, c\) using \(c^2=a^2-b^2\) and express everything in terms of eccentricity \(e=\frac{c}{a}\).

Answer 1

The Correct Option is C