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AP EAMCET202022 Sep 2020Evening ShiftMathematicsEllipseActual

The eccentricity of the ellipse 4 x^2+25 y^2=100 is

Options

  1. A21 5
  2. B21 2
  3. C21 4
  4. D21 25

Correct answer

A. 21 5

Step-by-step solution

4 x^2+25 y^2=100 x^2 25 + y^2 4 =1 a^2=25 and b^2=4 Ecentricity = a^2-b^2 a^2 = 25-4 25 = 21 5 Hence, option (1) is correct.

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