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Intersection between a circle and a line

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Intersection between a circle and a line [#permalink] New post 23 May 2010, 04:55
How do we define an intersection between a circle and a line?

Is a tangent to a circle considered as an intersection between a circle and a line ?
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Re: Intersection between a circle and a line [#permalink] New post 23 May 2010, 06:37
achan wrote:
How do we define an intersection between a circle and a line?

Is a tangent to a circle considered as an intersection between a circle and a line ?



Yes, a tangent should be considered as intersecting a circle because the line and the circle intersect at a point. This is similar to two lines intersecting at a point. Thus a line passing through a circle will actually intersect it at 2 points and the line tangent to it will intersect it at 1 point. Both are cases of a line intersecting a circle.
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Re: Intersection between a circle and a line   [#permalink] 23 May 2010, 06:37
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