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The eccentricity of hyperbola 25 x 2 - 9 y 2 = 225 is…

Options

  1. A34 3
  2. B4
  3. C34
  4. D34 5

Correct answer

A. 34 3

Step-by-step solution

We have equation of hyperbola 25 x 2 - 9 y 2 = 22 5 ⇒ x 2 9 - y 2 25 = 1 On comparing with x 2 a 2 - y 2 b 2 = 1 we get a 2 = 9 , b 2 = 2 5 ∴ Eccentricity, e = 1 + b 2 a 2 = 1 + 25 9 = 34 3

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