There is a line and five points, which do not belong to this line. Two of these points belong to the first half-plane, and three other points – to the second half-plane. Each pair of points is connected by a segment. How many segments intersect the line?
There is a line and three points (A, B and C), which do not belong to this line. The segment AB intersects the line, and the segment AC doesn’t intersect it. Does the segment BC intersects the line or it doesn’t?
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