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Omni-MATH / A circle passes through the points (2,0) and (4,0) and is tangent to the line y=x. Find the sum of all possible values for the y-coordinate of the center of the circle.

Problem

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problem

A circle passes through the points (2,0)(2,0) and (4,0)(4,0) and is tangent to the line y=xy=x. Find the sum of all possible values for the yy-coordinate of the center of the circle.
Plain-text mathematical notation (without MathML)
A circle passes through the points (2,0) and (4,0) and is tangent to the line y=x. Find the sum of all possible values for the y-coordinate of the center of the circle.
Original LaTeX notation
A circle passes through the points $(2,0)$ and $(4,0)$ and is tangent to the line $y=x$. Find the sum of all possible values for the $y$-coordinate of the center of the circle.

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Source and history

task_id
e9c52863-85fc-554b-8e77-b06b710894ad
task_key
test--e9c52863-85fc-554b-8e77-b06b710894ad
task_revision_id
1
config / split
/ test

Official source

initial import