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If the eccentricity of the hyperbola x 2 16 - y 2 b 2 = - 1 is 5 4 , then b 2 is equal to

Options

  1. A256 9
  2. B16 3
  3. C9
  4. D3

Correct answer

A. 256 9

Step-by-step solution

y 2 b 2 - x 2 16 = 1 For the hyperbola, e = 1 + 16 b 2 ⇒ 1 + 16 b 2 = 5 4 ⇒ b 2 = 256 9

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