Not necessarily. A plane dissecting a sphere would create a circle in that plane. so in order for the "line" to be both on the plane and the sphere the line would have to be a curve or segment of a circle.
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Lines which are parallel. All other lines on the same plane eventually intersect.
If the question is .. " Points and lines in the same plane "? then the anwser is COPLANER
Points and lines on the same plane are coplanar.
No because only co-linear lines lie on the same plane
No, skew lines cannot be in the same plane, since they do not have a point on common. Two lines intersect if they lie in a common plane, and by definition, these intersecting lines are not skew lines.