Question

question 6 of 10
the solution set of an equation of a circle is all of the points that lie in the circle.
a. true
b. false

Explanation:

Step1: Recall the definition of a circle's equation

The standard equation of a circle is \((x - h)^2+(y - k)^2=r^2\), where \((h,k)\) is the center and \(r\) is the radius.

Step2: Understand the solution set

The solution set of this equation consists of all points \((x,y)\) that satisfy the equation. Geometrically, these points are exactly the ones on the circle (since the equation is derived from the distance formula, and points satisfying it are at a distance \(r\) from the center \((h,k)\)).

Answer:

A. True