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AP EAMCET202119 Aug 2021Evening ShiftMathematicsEllipseActual

In an ellipse, if the distance between the foci is 6 units and the length of its minor axis is 8 units, then its eccentricity is

Options

  1. A1 2
  2. B7 5
  3. C1 5
  4. D3 5

Correct answer

D. 3 5

Step-by-step solution

Consider the standard equation of the ellipse x 2 a 2 + y 2 b 2 = 1 , The distance between it's foci is 6   , so, 2 c = 6   ⇒ c = 3 and given length of minor axis is 8 units, hence, 2 b = 8   ⇒   b = 4 So, the value of a = b 2 + c 2 = 4 2 + 3 2 = 5 Hence, e = c a = 3 5

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