Worksheet: Eccentricity of a Hyperbola

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In this worksheet, we will practice finding the eccentricity of a hyperbola.

Q1:

Give the formula for the eccentricity of the hyperbola with equation ( 𝑥 − ℎ ) 𝑎 − ( 𝑦 − 𝑘 ) 𝑏 = 1 . 2 2 2 2

  • A √ 𝑎 + 𝑏 2 2
  • B 𝑎 + 𝑏 𝑎 2 2
  • C √ 𝑎 − 𝑏 𝑎 2 2
  • D √ 𝑎 + 𝑏 𝑎 2 2

Q2:

Calculate the eccentricity of the hyperbola with the equation ( 𝑥 + 1 ) 3 − ( 𝑦 − 2 ) 9 = 1 2 2 .

Q3:

Which of the following could be the eccentricity of a hyperbola?

  • A0
  • B0.6
  • C − 0 . 3
  • D1.5
  • E1

Q4:

Calculate the eccentricity of the hyperbola with equation 4 𝑦 − 5 𝑥 − 2 4 𝑦 − 2 0 𝑥 = 4 2 2 .

  • A3
  • B 9 √ 5
  • C 3 2
  • D 3 √ 5

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