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(B) circle is defined by its center $(h, k)$ and radius $r$. The equation of a circle passing through the origin $(0,0)$ is $x^2 + y^2 - 2hx - 2ky = 0

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Infinite

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(B) circle is defined by its center $(h, k)$ and radius $r$. The equation of a circle passing through the origin $(0,0)$ is $x^2 + y^2 - 2hx - 2ky = 0$.Since there are infinitely many choices for the center $(h, k)$ and the radius $r$,there are infinitely many circles that can pass through the origin $(0,0)$.Therefore,the set of circles passing through the origin is an infinite set.

State whether the following set is finite or infinite:
The set of circles passing through the origin $(0,0)$.

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State whether the following set is finite or infinite:The set of circles passing through the origin $(0,0)$.