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Omni-MATH / If A and B are fixed points on a given circle and XY is a variable diameter of the same circle, determine the locus of the point of intersection of lines AX and BY. You may assume …

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problem

If A A and B B are fixed points on a given circle and XY XY is a variable diameter of the same circle, determine the locus of the point of intersection of lines AX AX and BY BY. You may assume that AB AB is not a diameter.
Plain-text mathematical notation (without MathML)
If A and B are fixed points on a given circle and XY is a variable diameter of the same circle, determine the locus of the point of intersection of lines AX and BY. You may assume that AB is not a diameter.
Original LaTeX notation
If $ A$ and $ B$ are fixed points on a given circle and $ XY$ is a variable diameter of the same circle, determine the locus of the point of intersection of lines $ AX$ and $ BY$. You may assume that $ AB$ is not a diameter.

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