Hyperbola Problems

1Determine and plot the coordinates of the foci and vertices and calculate the eccentricity of the following hyperbolas:

1 Hyperbola Exercise

2 Hyperbola Exercise

3 Hyperbola Exercise

4 Hyperbola Exercise

2Determine and plot the coordinates of the foci and vertices and calculate the eccentricity of the following hyperbolas:

1 Hyperbola Exercise

2 Hyperbola Exercise

3Calculate the equation of the hyperbola with a transverse axis of 8 and a focal length of 10.

4The transverse axis of a hyperbola is 12 and the curve passes through the point P = (8, 14). Find its equation.

5Calculate the equation of the hyperbola centered at (0, 0) whose focal length is 34 and the distance from one focus to the closest vertex is 2.

6Determine the equation of the hyperbola centered at (0, 0) that passes through the points: Points.

7Determine the equation of the hyperbola centered at (0, 0) that passes through the point Point and whose eccentricity is Eccentricity.

8Determine the equation of the hyperbola centered at (0, 0) knowing that one focus is 2 units from one vertex and 50 from the other.

9Determine the coordinates of the point(s) of intersection between the line x + y − 1 = 0 and the hyperbola x2 − 2y2 = 1.

10A rectangular hyperbola passes through the point (4, 1/2). Find its equation and determine the coordinates of the vertices and foci.

11The transverse axis of a hyperbola is 12 and the eccentricity is 4/3. Calculate the equation of this hyperbola.

12Calculate the equation of a rectangular hyperbola knowing that its focal length is Radical.

13The length of the conjugate axis of a hyperbola is 8 and the equations of the asymptotes are: Asymptotes. Calculate the equation of the hyperbola, its foci and vertices.

 

1

Determine and plot the coordinates of the foci and vertices and calculate the eccentricity of the following hyperbolas:

1 Hyperbola Problems

Hyperbola

Hyperbola Operations

Hyperbola Operations

Hyperbola Operations

Hyperbola Operations

Hyperbola Solution

Hyperbola Solution

2 Hyperbola Problems

Hyperbola

Hyperbola Operations

Hyperbola Operations

Hyperbola Operations

formulas

Hyperbola Solution

Hyperbola Solution

3 Hyperbola Problems

Hyperbola

Hyperbola Operations

Hyperbola Operations

Hyperbola Operations

Hyperbola Operations

Hyperbola Operations

Hyperbola Operations

Hyperbola Solution

Hyperbola Solution

4 Hyperbola Problems

Hyperbola

Hyperbola Operations

Hyperbola Operations

Hyperbola Operations

Hyperbola Operations

Hyperbola Operations

Hyperbola Operations

Hyperbola Solution

Hyperbola Solution

 

2

Determine and plot the coordinates of the foci and vertices and calculate the eccentricity of the following hyperbolas:

1 Hyperbola Problems

Hyperbola

Hyperbola Operations

Hyperbola Operations

Hyperbola Operations

Hyperbola Operations

Hyperbola Operations

Hyperbola Operations

Hyperbola Operations

Hyperbola Operations

Hyperbola Solution

Hyperbola Solution

2 Hyperbola Problems

Hyperbola

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Hyperbola Operations

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Hyperbola Operations

Hyperbola Operations

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Hyperbola Solution

Hyperbola Solution

 

3

Calculate the equation of the hyperbola with a transverse axis of 8 and a focal length of 10.

Hyperbola Operations

Hyperbola Operations

Hyperbola Operations

Hyperbola Solution

 

4

The transverse axis of a hyperbola is 12 and the curve passes through the point P = (8, 14). Find its equation.

Hyperbola Operations

Hyperbola Operations

Hyperbola Operations

Hyperbola Solution

 

5

Calculate the equation of the hyperbola centered at (0, 0) whose focal length is 34 and the distance from one focus to the closest vertex is 2.

Hyperbola Operations

Hyperbola Operations

Hyperbola Solution

 

6

Determine the equation of the hyperbola centered at (0, 0) that passes through the points: Points.

Hyperbola Calculations

Hyperbola Solution

 

7

Determine the equation of the hyperbola centered at (0, 0) that passes through the point Point and whose eccentricity is Eccentricity.

Hyperbola Calculations

Hyperbola Calculations

Hyperbola Calculations

Hyperbola Calculations

Hyperbola Solution

 

8

Determine the equation of the hyperbola centered at (0, 0) knowing that one focus is 2 units from one vertex and 50 from the other.

Hyperbola Calculations

Hyperbola Calculations

Hyperbola Solution

 

9

Determine the coordinates of the point(s) of intersection between the line x + y − 1 = 0 and the hyperbola x2 - 2y2 = 1.

 

Hyperbola-Line Intersection


Hyperbola Calculations

Hyperbola Solution

 

 

10

A rectangular hyperbola passes through the point (4, 1/2). Find its equation and determine the coordinates of the vertices and foci.

 

Rectangular Hyperbola

Hyperbola Calculations

Hyperbola Calculations

Hyperbola Calculations

Hyperbola Calculations

Hyperbola Calculations

Hyperbola Calculations

Hyperbola Solution

 

11

The transverse axis of a hyperbola is 12 and the eccentricity is 4/3. Calculate the equation of this hyperbola.

Hyperbola Calculations

Hyperbola Calculations

Hyperbola Calculations

Hyperbola Solution

 

12

Calculate the equation of a rectangular hyperbola knowing that its focal length is Focal Length.

Hyperbola Calculations

Hyperbola Calculations

Hyperbola Calculations

Hyperbola Solution

 

13

The length of the conjugate axis of a hyperbola is 8 and the equations of the asymptotes are: Asymptotes. Calculate the equation of the hyperbola, its foci and vertices.

Hyperbola Calculations

Hyperbola Calculations

Hyperbola Calculations

Hyperbola Calculations

Hyperbola Solution

Hyperbola Solution

 



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