Geometry

Question Analysis

The main focus is to determine if point  lies on circle . We need to find the radius of circle  and then calculate the distance between the center  and point . If the distance equals the radius, the point lies on the circle.

 

Key Concept Explanation

1. The radius  of a circle is half of the diameter.

2. The distance  between two points  and  in the coordinate plane is given by the formula . A point lies on a circle if the distance from the center of the circle to the point is equal to the radius of the circle.

 

Step - by - Step Solution

1. Find the radius of circle :

Given the diameter , the radius .

2. Calculate the distance between the center  and point

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