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Omni-MATH / Point P is on the y-axis with y-coordinate greater than 0 and less than 100. A circle is drawn through P,Q(4,4) and O(0,0). How many possible positions for P are there so that the …

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problem

Point PP is on the yy-axis with yy-coordinate greater than 0 and less than 100. A circle is drawn through P,Q(4,4)P, Q(4,4) and O(0,0)O(0,0). How many possible positions for PP are there so that the radius of this circle is an integer?
Plain-text mathematical notation (without MathML)
Point P is on the y-axis with y-coordinate greater than 0 and less than 100. A circle is drawn through P,Q(4,4) and O(0,0). How many possible positions for P are there so that the radius of this circle is an integer?
Original LaTeX notation
Point $P$ is on the $y$-axis with $y$-coordinate greater than 0 and less than 100. A circle is drawn through $P, Q(4,4)$ and $O(0,0)$. How many possible positions for $P$ are there so that the radius of this circle is an integer?

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task_id
2f81fe66-8d92-5977-9e42-61c7b6ead18a
task_key
test--2f81fe66-8d92-5977-9e42-61c7b6ead18a
task_revision_id
1
config / split
/ test

Official source

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