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COMEDK2018MathematicsEllipse

The latusrectum of the ellipse is half the minor axis. Then, its eccentricity is

Options

  1. A1 2
  2. B1 3
  3. C3 2
  4. DNone of these

Correct answer

C. 3 2

Step-by-step solution

Given that, 2 b² a = 2 b 2 a=2 b Now, aligned &b²=a² (1-e² ) &b²=4 b² (1-e² ) & 1 4 =1-e² aligned e²=1- 1 4 = 3 4 e= 3 4 = 3 2

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