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JEE Main20252 Apr 2025Evening ShiftMathematicsEllipseActual

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

Options

  1. A4 17
  2. B3 16
  3. C3 19
  4. D5 7

Correct answer

A. 4 17

Step-by-step solution

aligned & 2 ~b = 1 4 (2 ae ) & b a = e 4 & e = 1- b ^2 a ^2 & e = 1- e ^2 16 & e ^2 (1+ 1 16 )=1 & e = 4 17 aligned

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