Graphing Level Curve F(x,y)=1 for x^2-y^2: Circle or Hyperbola?

[dgoudie]

[SOLVED] Level Curve

Homework Statement

For the given equation sketch the level curve F(x,y)=1

F(x,y)= x^2-y^2

Homework Equations

The Attempt at a Solution

Would this: x^2-y^2=1 still be a circle? What will the minus change?

 

[Dick]

No it's not a circle. It's a hyperbola. Remember conic sections? Even if you don't, you can still start sketching it by putting numbers in. The would let you figure out it's not a circle pretty fast.