Verified Solution • 2025–26 Session moderate

QJEEM24Mac3cc: JEE Main 2024 Mathematics - Class 11 JEEM24Mac3cc Solution: If the length of the minor axis of an ellipse is equal to half…

If the length of the minor axis of an ellipse is equal to half of the distance between the foci, then the eccentricity of the ellipse is :

Multiple Choice Options

  • A 13\frac{1}{\sqrt{3}}
  • B 25\frac{2}{\sqrt{5}}
  • C 32\frac{\sqrt{3}}{2}
  • D 53\frac{\sqrt{5}}{3}

Step-by-Step Verified Solution

amp;2b=aeamp;ba=e2amp;e=1−e24amp;e=25\begin{aligned}& 2 b=a e \\& \frac{b}{a}=\frac{e}{2} \\& e=\sqrt{1-\frac{e^2}{4}} \\& e=\frac{2}{\sqrt{5}}\end{aligned}

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