Line(s) of symmetry ?

**simplependulum** · November 17th 2009, 01:08 AM

What is the greatest method to find out the lines of symmetry of a hyperbola $Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0$

where $B^2 - 4AC > 0$

**Grandad** · November 17th 2009, 05:37 AM

Hello simplependulum

Originally Posted by simplependulum

What is the greatest method to find out the lines of symmetry of a hyperbola $Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0$

where $B^2 - 4AC > 0$

The solution for the general equation that you have here is complicated, but this looks an interesting web-site. As well as enabling you to input any values for the constants, it contains an explanation of how the calculations are carried out.

Grandad

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