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Worksheet: Eccentricity of a Hyperbola

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

Q1:

Give the formula for the eccentricity of the hyperbola with equation ( π‘₯ βˆ’ β„Ž ) π‘Ž βˆ’ ( 𝑦 βˆ’ π‘˜ ) 𝑏 = 1 . 2 2 2 2

  • A √ π‘Ž + 𝑏 2 2
  • B π‘Ž + 𝑏 π‘Ž 2 2
  • C √ π‘Ž βˆ’ 𝑏 π‘Ž 2 2
  • D √ π‘Ž + 𝑏 π‘Ž 2 2

Q2:

Calculate the eccentricity of the hyperbola with equation 4 𝑦 βˆ’ 5 π‘₯ βˆ’ 2 4 𝑦 βˆ’ 2 0 π‘₯ = 4 2 2 .

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

Q3:

Calculate the eccentricity of the hyperbola with the equation ( π‘₯ + 1 ) 3 βˆ’ ( 𝑦 βˆ’ 2 ) 9 = 1 2 2 .

Q4:

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

  • A0
  • B0.6
  • C βˆ’ 0 . 3
  • D1.5
  • E1

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