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Manipal MET2019MathematicsEllipse

If the distance between the foci of an ellipse is 6 and the length of the minor axis is 8 , then the eccentricity is

Options

  1. A1 5
  2. B1 2
  3. C3 5
  4. D4 5

Correct answer

C. 3 5

Step-by-step solution

aligned & Here, 2 a e=6 and 2 b=8 b=4 & b^2=16 a^2 (1-e^2 )=16 & 9 e^2 (1-e^2 )=16 9-9 e^2=16 e^2 & 25 e^2=9 e= 3 5 aligned

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