The graph of the equation $x^{2} + y^{2} = 169$ includes how many points $(x, y)$ in the coordinate plane where x and y are both negative integers?

None

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Five

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Two

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Three

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Infinitely many

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Solution

The correct option is D Two
The given equation represents circle with radius $13$
There exists two points with both $x, y$ being negative integers
The points are $(- 12, - 5), (- 5, - 12)$

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