Points and are distinct

MATHEMATICS · Single correct · AoPS · Mathematics · Graphing Quadratics · Graphing Quadratics

Problem

Points

A

and

B

are distinct. How many different circles can be drawn whose centre is at

A

and which pass through

B

? (a)

\text{Infinitely many}

(b)

\text{Exactly two}

(c)

\text{Exactly one}

(d)

\text{Cannot be determined}