Geometry

Question Analysis

The main focus is to determine if point  lies on circle . We'll use the distance formula to calculate the distance between the center  and point , and then compare it to the radius of the circle. If the distance equals the radius, the point lies on the circle.

 

Key Concept Explanation

1. Distance formula: In the coordinate plane, the distance  between two points  and  is given by . For a circle with center  and a point  on it, the radius  is the distance from the center to the point. So, if , the point  lies on the circle.

 

Step - by - Step Solution

1. Calculate the distance between the center  and point :

Substitute