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Problem Solving (PS) | A circle has a center at P = (–4, 4) and passes through the point (2,

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Bunuel wrote:

A circle has a center at P = (–4, 4) and passes through the point (2, 3). Through which of the following must the circle also pass?

A. (1, 1)
B. (1, 7)
C. (–1, 9)
D. (–3, –2)
E. (–9, 1)

Kudos for a correct solution.

I didn't catch shortcut y = -x, which IS elegant. I'm not a fan of the distance formula.

Start with general formula for a circle:

\((x - h)^2 + (y - k)^2 = r^2\) Plug in center coordinates:

\((x + 4)^2 + (y - 4)^2 = r^2\) Any point through
...

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