co-planar
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A point lies on a line if the coordinates of the point satisfy the equation of the line.
circle, but the given end point is called the center of a circle : )
If they are in the same plane, then they share a common plane. Did you mean to say common point. If that's the case where they are in the same plane, but do not share a common point, then they are parallel lines.
A circle
No because only co-linear lines lie on the same plane