



 
Pardeep, What is the relationship between the xcoordinate and the zcoordinate of a point on the curve? Harley Pardeep wrote back
Pardeep, What you showed is that every point $(x, y, z)$ on the curve satisfies $x + z = 1.$ Hence every point on the curve lies in the plane $x + z = 1.$ Thus every point on the curve lies on the cylinder you found earlier and also on the plane $x + z = 1$ and hence the curve lies on the intersection of the cylinder and the plane. Harley  


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