A certain circle in the $xy$-plane has its center at the origin. If $P$ is a point on the circle, what is the sum of

A certain circle in the $xy$-plane has its center at the origin. If $P$ is a point on the circle, what is the sum of the squares of the coordinates of $P?$

1) The radius of the circle is $4.$

2) The sum of the coordinates of $P$ is $0.$

Answer: A

Source: GMAT Prep

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