Question

When two lines intersect each other, how many Points are there in their intersection?​

Answer 1

Answer: One point

Explanation: The two distinct lines will be always intersect in one point

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Answer 2

Answer:

one point

Two distinct lines will always intersect in at most one point.( answer)

Step-by-step explanation:

We are in the realm of Euclidean geometry in a 2-dimensional plane, I presume. Two points define a line, which is also true in more than two dimensional Euclidean geometry. Hence, if one has two distinct lines, they can intersect in at most one point. We have now two possibilities:

A) Intersection in one point: This is the general case of two distinct non-parallel lines

B) Intesection in no point: According to the parallel postulate the lines must be parallel as they do not meet in one point.

In case of Euclidean geometry in more than two dimensions the general case is no intersection, if the lines do not lie in a plane and are not parallel. Only lines in a plane can intersect.

In other geometries distinct lines can intersect in more than one point. But firstly you have to define “line”.

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