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NDA2013MathematicsEllipseActual

The length of latus rectum of the ellipse 4 x^2+9 y^2=36 is

Options

  1. A4 3
  2. B8 3
  3. C6
  4. D12

Correct answer

B. 8 3

Step-by-step solution

Standard equation of ellipse is: x^2 a^2 + y^2 b^2 =1 Length of latus rectum = 2 b^2 a Given equation is 4 x^2+9 y^2=36 or, aligned x^2 9 + y^2 4 & =1 a^2 & =9, b^2=4 aligned Length of latus rectum = 2 4 3 = 8 3

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