Geometry
Question

Circle M is centered at M(2, -1). Does N(4, 3) lie on circle M?
Options
Answer & Analysis
Answer
Analysis
Question Analysis
The main focus is to determine if point lies on circle . We need to find the radius of circle (we can assume a radius value by calculating the distance from the center to a known point on the circle, or just calculate the distance from the center to and compare it to a potential radius). If the distance from the center to point is equal to the radius, then lies on the circle.
Key Concept Explanation
1. The radius of a circle is the distance from the center to any point on the circle. The distance formula is used to calculate this distance.
2. If the distance from the center of the circle to a point is equal to the radius, then the point lies on the circle.
Step - by - Step Solution
1. Calculate the distance between the center and point :
Apply the distance formula with
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