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AP EAMCET202123 Aug 2021Morning ShiftMathematicsHyperbolaActual

If the transverse and conjugate axes of hyperbola are equal, then its eccentricity is

Options

  1. A3
  2. B2
  3. C1 2
  4. D2

Correct answer

B. 2

Step-by-step solution

Given that, transverse and conjugate axis of hyperbola are equal. C D transverse axis A B conjugate axis 2 b=2 a a=b Using equation of hyperbola x^2 a^2 - y^2 b^2 =1 b^2=a^2 (e^2-1 ) Now, a^2=a^2 (e^2-1 ) e^2=2 e= 2

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