An (infinite) line established by 2 points

and
may intersect a circle of radius
and also center (0, 0) in two imaginary points (left figure), a degenerate solitary point (corresponding to the line being tangent come the circle; middle figure), or two actual points (right figure).

You are watching: A line that intersects a circle in exactly one point.

In geometry, a line meeting a circle in precisely one suggest is recognized as a tangent line, if a line meeting a circle in exactly two points in known as a secant line (Rhoad et al. 1984, p.429).

Defining

gives the clues of intersection as

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Weisstein, Eric W. "Circle-Line Intersection."From gimpppa.org--A gimpppa.org internet Resource. Https://gimpppa.org/Circle-LineIntersection.html

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