Question

Draw two circles of different radii how many point these circle can have in common what is the maximum number of common points

Answer 1

The points of the circle can't be counted.

Answer 2

Answer: Maximum number of common points is 2.

Step-by-step explanation:

There are 3 scenarios.

Scenario 1 : The given circles do not touch each other. In this case the number of common points is 0.

Scenario 2 : The given circles touch each other tangentially. In this case the number of common points is 1.

Scenario 3 : The given circles intersect each other. In this case the number of common points is 2.

There are no other scenarios since no two circles with different radius can be drawn through 3 non-collinear points.

Therefore maximum number of common points possible between two circles with different radius is 2.