How many circle can be drawn passing through two points?

Answer 1

There are infinite circles which can be drawn with 2 defined points.. Because if we have 2 points then we can draw infinite equal intersecting lines in infinite directions, These intersecting lines are the radii of the circles.

Like : we have 2 points

You can draw infinite isosceles triangles as taking the line joining the points

For example (activity) : we have 2 points A, B so let's join A and B which will make line AB and so let's take another point C and place that point in such a way that AC = AB and we observe that there are infinite points which can be placed in such a way like how we marked C.

Now draw a circle with center C and radius A, we will observe that the circle also cuts through B and so as we have infinite points like C, so we can have infinite circles .....

And so we conclude that infinite circles with different radii can be drawn through two defined distant points ...