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AP EAMCET202420 May 2024Morning ShiftMathematicsHyperbolaActual

If a circle of radius 4 cm passes through the foci of the hyperbola x^2 a^2 - y^2 4 =1 and concentric with the hyperbola, then the eccentricity of the conjugate hyperbola of that hyperbola is

Options

  1. A2
  2. B2 3
  3. C2 3
  4. D3

Correct answer

A. 2

Step-by-step solution

Given that circle passes through foci of given hyperbola and have radius 4 . c=4 and b=2 [ from equation of hyperbola] a^2+b^2=c^2 a^2+4=16 a=2 3 For congugate hyperbola a=2 and c=4 c=a e=4 2 e=4 e=2

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