Stage 30 · Analytic Geometry

30.4.4 Line and Circle: Apart, Tangent, or Crossing

30.4 The Circle: Equation and Positional Relationships

Point 4 of 6

30.4.4 Line and Circle: Apart, Tangent, or Crossing

Core idea

Compare the distance d from the center to the line against the radius r, and which is bigger decides whether they touch or cut through.

Module goal. Write the set of points equidistant from a fixed point as an equation, master the circle's two forms, and judge tangency and intersection with lines and other circles.
eastmath.com · 30.4 The Circle: Equation and Positional Relationships · 30.4.4 Line and Circle: Apart, Tangent, or Crossing