Before you understand what is point of intersection, you must know:
What are lines ?
What are intersecting Lines ?
Definition : Point of Intersection is a point at which intersecting lines intersect each other.
Or in other words:
A common point at which two lines meet each other is known as Point of Intersection.
E.g. In the following diagram:
Lines P and Q are intersecting lines intersecting at point "O".
Or we can also say that:
Lines P and Q meet each other at a common point i.e. "O"
Hence, Point "O" is referred as Point of Intersection of line P and Q
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