Worksheet: Eccentricity of Conic Sections

In this worksheet, we will practice finding the eccentricity of conic sections and using it to find their equations or types.

Q1:

Give the formula for the eccentricity of the hyperbola with equation (𝑥)𝑎(𝑦𝑘)𝑏=1.

  • A 𝑎 + 𝑏
  • B 𝑎 𝑏 𝑎
  • C 𝑎 + 𝑏 𝑎
  • D 𝑎 + 𝑏 𝑎

Q2:

Calculate the eccentricity of the hyperbola with the equation (𝑥+1)3(𝑦2)9=1.

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 4𝑦5𝑥24𝑦20𝑥=4.

  • A 3 5
  • B 9 5
  • C 3 2
  • D3

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