Intersection points of line and circle

This online calculator finds the intersection points of a circle and a line.

Circle-line intersection calculator

Enter the equations for a circle, and a line to determine their intersection points.
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Enter line equation:

y = x

Enter circle equation:

)² + (y

)² =

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Examples

ex 1:

Find the intersection points of the circle $(x-2)^2 + (y+3)^2 = 17$ with the line $ y = 2x - 1$.

ex 2:

Find the coordinates of all points where line $y = x - 5$ intersects circle $(x-1)^2 + (y+3)^2 = 1$.

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