Lesson Worksheet: Eccentricity of Conic Sections Mathematics

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

Q7:

Which of the following represents the eccentricity of an ellipse?

  • A𝑒<0
  • B𝑒=0
  • C0<𝑒<1
  • D𝑒>1
  • E𝑒=1

Q8:

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

  • A𝑒=𝑎+𝑏𝑎
  • B𝑒=𝑘
  • C𝑒=𝑎𝑏𝑎
  • D𝑒=𝑎𝑏
  • E𝑒=𝑘

Q9:

Which of the following represents the eccentricity of a hyperbola?

  • A0<𝑒<1
  • B𝑒>1
  • C0𝑒1
  • D𝑒=0
  • E𝑒=1

Q10:

Which of the following represents the eccentricity of a parabola?

  • A0<𝑒<1
  • B0𝑒1
  • C𝑒=1
  • D𝑒=0
  • E𝑒>1

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.