- #1
madachi
- 29
- 0
Homework Statement
Does the surface [itex] z = x^2 + y^2 - 4 [/itex] * intersects the [itex] yz [/itex]-plane? If so, find the equation of the curve and write down the points of intersection.
The Attempt at a Solution
[itex]yz-[/itex]plane, so [itex] x=0 [/itex]
1) * becomes [itex] z = y^2 - 4 [/itex] and this is the equation of the curve that intersects the [itex] yz[/itex]-plane.
2) So the intersection points are [itex] (0,-2,0) [/itex] and [itex] (0,2,0) [/itex]
Are 1) and 2) correct? Thanks in advance!