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Question

An ellipse whose axis is along x axis and centre at origin. If the distance between focii is equal to length of minor axis, then the eccentricity of the ellipse is
  1. 12
  2. 13
  3. 12
  4. 2


Solution

The correct option is C 12
Length of minor axis = distance between focii,
2b=2aee=ba...........(i)
We know that,
e2=1b2a2
Using equation (i),
e2=1e22e2=1e=12

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