How to points of Intersection of two circle

To find the points of intersection of two circles, follow these steps:

1. Determine the equations of the two circles. Each circle can be represented by the equation (x - h)^2 + (y - k)^2 = r^2, where (h, k) represents the center of the circle and r represents the radius.

2. Set the two circle equations equal to each other. This will give you a system of equations with two variables (x and y).

3. Simplify the system of equations by expanding and rearranging terms. This will help you solve for one variable in terms of the other.

4. Substitute the expression for one variable into the other equation. This will give you a quadratic equation in one variable.

5. Solve the quadratic equation to find the values of the variable.

6. Substitute the values of the variable back into one of the original circle equations to find the corresponding values of the other variable.

7. Repeat steps 5 and 6 if the quadratic equation has two distinct solutions.

8. The points of intersection of the two circles are the coordinates obtained from step 6.

By following these steps, you can find the points of intersection of two circles.