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Re: Which of the following CANNOT have more than 2 points in common?
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22 Nov 2017, 10:04

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(A) All three vertices of a triangle could lie on a circle (inscribed triangle). (C) All four vertices of a rectangle could lie on a circle (inscribed rectangle). (D) Two triangles could intersect like a star (so more than two intersection points) (E) A line could be the same line as one side of the triangle and thus this line and triangle could intersect in infinite points.

But in case of (B) A line and a circle could never intersect in more than two points. If its a secant, it can cut circle in two points only, or it could be a tangent and touch the circle only at one point. Of course, there could be 0 points of intersection also.