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A line can be tangent to a circle in which case it intersects it in one point, it can intersect it in two points, or no points at all.

So the choices are 0,1 or 2.

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Q: Line intersecting a circle in two points?
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What is a line intersecting a circle in two points?

it is called a secant


How is that any line intersecting the interior of a given circle is a secant of that circle?

Any line that enters a circle (and is not a tangent) must cross its boundary twice; once to enter, once to exit. Since a secant is a line segment that joins two different points on a curve, such a line as above is a secant.


What is a straight line joining points on a circle?

A straight line joining points on a circle is called a "chord" of that circle. If the line happens to pass through the center of the circle, then it's a "diameter" of that circle. The question asked about "points" on a circle, so two points on the circumference of that circle are being considered. (No line can join more than two points of a circle.)


A line segment that connects any two points of a circle is called?

A chord is a line which connects two points which lie on a circle.


How to find the the circumcenter of a triangle?

The circumcenter of a triangle is the center of a circle who's radius touches all three of the triangle's vertices. The circumcenter can be found using the intersection of 2 or more perpendicular bisectors. A bisector is a line perpendicular from the mid point of a triangle's line segment.To find the circumcenter of a triangle, create two bisectors by following these steps:StepsWith a compass, draw a circle from the first point in the triangle larger then the triangle.Draw the same size circle from point two.Draw the same size circle from point three.Draw a line from the two intersecting points of circle one and two.Draw a line from the two intersecting points of circle two and three.The intersection of the lines from step 4 and 5 will define the circumcenter of the triangle.