Algebra Tutorials!
Try the Free Math Solver or Scroll down to Tutorials!

 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg:

# Rotating a Hyperbola

Write the equation xy - 1 = 0 in standard form.

Solution

Because A = 0, B = 1, and C = 0, you have (for 0 θ < π/2)

The equation in the x'y'-system is obtained by making the following substitutions.

Substituting these expressions into the equation xy - 1 = 0 produces

This is the equation of a hyperbola centered at the origin with vertices at in the x'y'-system, as shown in the following figure.

 Copyrights © 2005-2017 Tuesday 12th of December