Lesson: Intersections of Circles and Lines Mathematics

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In this lesson, we will learn how to find points of intersection of circles and lines.

Students will be able to

understand that a line can intersect a circle at two points, touch it at one point, or not intersect it at all,
find how many times a line intersects a circle, given in standard or general form, by using properties of the discriminant or otherwise,
find the coordinates of the points at which a line intersects a circle, if they exist,
solve algebraic problems involving the intersection of circles and lines.