1)Find an equation for the surface consisting of all points P for which the distance from P to the x-axis is 5 times the distance from P to the yz-plane.
2)Find an equation for the surface consisting of all points that are equidistant from the point (−3, 0, 0) and the plane x = 3.
The Attempt at a Solution
1)The only thing I can think of is an ellipsoid with an equation similar to 5x^2+y^2+z^2=1
Is that correct? Or am I totally off?
2) I feel a parabolic cylinder would work here (opening facing toward point) but not sure how to find the equation.