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.

  • A𝑎+𝑏
  • B𝑎𝑏𝑎
  • C𝑎+𝑏𝑎
  • D𝑎+𝑏𝑎

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
  • C0.3
  • D1.5
  • E1

Q4:

Calculate the eccentricity of the hyperbola with equation 4𝑦5𝑥24𝑦20𝑥=4.

  • A35
  • B95
  • C32
  • D3

Q5:

Calculate the eccentricity of an ellipse with the equation (𝑥1)5+(𝑦2)3=1.

  • A105
  • B25
  • C102
  • D2105
  • E63

Q6:

Which of the following could be the eccentricity of an ellipse?

  • A1.3
  • B0
  • C1
  • D0.6

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