CSMC 2023 Part A - Question 3, CEMC UWaterloo

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Difficulty: 4

This problem is tagged with csmc, csmc23, highschool.

(Canadian Senior Mathematics Contest 2022, Part A, Question 3, CEMC - UWaterloo)

The distance from point $P(x, y)$ to the origin $O(0, 0)$ is $17$. The distance from point $P(x, y)$ to $A(16, 0)$ is also $17$. What are the two possible pairs of coordinates $(x, y)$ for $P$?

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Your answer should be of the form "(x1,y1),(x2,y2)".

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