Question

question 2 of 10

each point that lies on a circle satisfies the equation of that circle.

a. true
b. false

Explanation:

Analyze the definition of a geometric locus and its equation

By definition, the equation of any geometric figure (including a circle) in a coordinate plane represents the precise set of all points \( (x, y) \) that lie on that figure. Therefore, any point lying on the circle must satisfy its equation, and conversely, any point satisfying the equation must lie on the circle.

Answer:

• A. True (Correct answer)
• B. False