- #1
themadhatter1
- 140
- 0
Homework Statement
Find an equation for the surface consisting of all points p for which the distance from P to the x-axis is twice the distance from P to the yz-plane. Identify the surface.
Homework Equations
The Attempt at a Solution
[tex]2\sqrt{(x_p-x)^2+(y_p-0)^2+(z_p-0)^2}=\sqrt{(x_p-0)^2+(y_p-y)^2+(z_p-z)^2}[/tex]
I square both sides simplify and move over to one side yielding:
[tex]3(x_p^2)+(3y_p^2+2y_py-y^2)+(3z_p^2+2zz_p-z^2)=0[/tex]from here my natural intuition says to complete the square or factor but you can't do either. Where did I go wrong?