An (infinite) line determined by 2 points

and
might intersect a one of radius
and center (0, 0) in 2 imaginary point out (left figure), a degenerate single point (corresponding to the heat being tangent to 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 conference a one in specifically one allude is known as a tangent line, while a line meeting a one in exactly two clues in recognized as a secant heat (Rhoad et al. 1984, p.429).

Defining

gives the clues of intersection as

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Weisstein, Eric W. "Circle-Line Intersection."From bsci-ch.org--A bsci-ch.org web Resource. Https://bsci-ch.org/Circle-LineIntersection.html

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