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.
I get that the surface is a cone, but maybe my graph is off.
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.
I get that the surface is a cone, but maybe my graph is off.
The distance from x-axis to is given by . The distance from to yz-plane is given by . Thus, we want . And this is a double cone because of the presence of an absolute value.