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March 22nd, 2017, 05:57 PM  #1 
Newbie Joined: Mar 2017 From: United States Posts: 1 Thanks: 0  Rotations of Conic Section Equations
I am doing an online math course over conic sections and the rotation of them and how to apply rotations to their equations. I cannot figure out one of the problems as the lessons they give me do not explain the method needed to solve the problem. The problem is: Transform the equation xy=1 by rotation, thus eliminating the xy term. How do I go about doing this? Thanks 
March 22nd, 2017, 06:34 PM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 2,722 Thanks: 1376  Note that $xy=1$ is a hyperbola. There is only one choice from the three options that has the form of a hyperbola ... the other two are ellipses. If you want to see a direct calculation, see page 3 at the link ... http://math.sci.ccny.cuny.edu/document/show/2685 

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conic, equations, rotations, section 
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