Question

How many lines can pass through two given points?

Answer 1

Hint: Here, we have been given two points and we have been asked how many lines can pass through both those points. For this, we will first draw any two separate points A and B. Then, we will try to join them in as many ways as possible. The number of ways in which those two points will be joined will be equal to the number of lines that can pass through both those points. Hence, we will get our required answer.

Complete step by step solution:
Here, we have been given two points and we need to tell how many lines can pass through both of those points. For this, let us first mark two points A and B.

Now, we will try to join them in as many ways as possible.
This is shown as follows:

We can see that there is only one way in which these two points A and B can be joined.
Hence, there is only one line that can pass through 2 given points.
Thus, 1 is our required answer.

Note:
Always remember that through one point, there is an infinite number of lines that can pass through it, and through two points, there is only one line that can pass through both of them. Now, if there are more points than 2, it is not necessary that even one line will pass through them. They can result in the formation of a polygon too. But if those multiple points are collinear, only one line will pass through them.