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What is the length of the latus rectum of the ellipse 25 x^2+16 y^2=400 ?

Options

  1. A25 2
  2. B25 4
  3. C16 5
  4. D32 5

Correct answer

D. 32 5

Step-by-step solution

25 x^2 400 = 16 y^2 400 = 400 400 x^2 16 + y^2 25 =1 Length of latus rectum of ellipse = 2 a^2 b = 2 16 5 = 32 5 .

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