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AP EAMCET2001MathematicsEllipse

The eccentricity of ellipse x^2 16 + y^2 9 =1 is

Options

  1. A7 16
  2. B5 4
  3. C7 4
  4. D7 2

Correct answer

C. 7 4

Step-by-step solution

Given ellipse is x^2 16 + y^2 9 =1 Here, a^2=16, b^2=9 Now, b^2=a^2 (1-e^2 ) array rlrl & 9 & =16 (1-e^2 ) & & 1-e^2 & = 9 16 & e^2 & =1- 9 16 = 7 16 & e & = 7 4 array

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