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AP EAMCET20227 Jul 2022Morning ShiftMathematicsHyperbolaActual

For a hyberbola x^2 a^2 - y^2 b^2 =1 , if the length of the transvere axis is 8 and the distance between the foci is 2 41 , then the length of its latus rectum is

Options

  1. A25 2
  2. B32 5
  3. C25 4
  4. D16 5

Correct answer

A. 25 2

Step-by-step solution

Given, 2 a=8 a=4 2 a e=2 41 a e= 41 a^2 e^2=a^2+b^241=16+b^2 b^2=25 Length of latus rectum = 2 b^2 a = 2 25 4 = 25 2

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