yeah
Two or more lines meeting at a common point are called intersecting lines.
Theorem: If two lines intersect, then exactly one plane contains both lines. So, when two or more lines intersect at one point, they lie exactly in the same plane. When two or more lines intersect at one point, their point of intersection satisfies all equations of those lines. In other words, the equations of these lines have the same solution, which is the point of intersection.
In Euclidean plane geometry two infinitely long straight lines intersect at only one point
It's possible, but for any three lines in the same plane, there could be ether one point of intersection (unlikely) or three (more probably).
The locus in a plane is two more intersecting lines, perpendicular to each other (and of course half-way between the given lines.
the same line
Identical.
Two straight lines in the same plane can't possibly have more than one point in common, unless they are both the same line. If they're parallel, they have no common points. If they're not parallel, then have exactly one common point. If they're the same line, then every point on one line is also on the other one.
They must be the same identical line, otherwise it's impossible.
Two or more lines meeting at a common point are called intersecting lines.
Theorem: If two lines intersect, then exactly one plane contains both lines. So, when two or more lines intersect at one point, they lie exactly in the same plane. When two or more lines intersect at one point, their point of intersection satisfies all equations of those lines. In other words, the equations of these lines have the same solution, which is the point of intersection.
its the point of concurrency
No point in common. That is correct. More common explanation is that even if you extend the lines in either direction, they would not touch (i.e. have a common point.)
concurrent lines
In Euclidean plane geometry two infinitely long straight lines intersect at only one point
Intersecting lines
are convergent lines.