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Question
If four distinct lines lie in a plane, and exactly two of them are parallel, find the least possible number of points of intersection of the lines.
If four distinct lines lie in a plane, and exactly two of them are parallel, find the least possible number of points of intersection of the lines.
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Solution
The correct option is B Three
Draw a diagram for this problem.
Draw two parallel lines, as given the other two lines cannot be parallel to themselves or to the first two lines.
Your
diagram may seem to suggest maximum five points of intersection; However, the
point of intersection of the two non-parallel lines can overlap with a
point of intersection on one of the parallel lines.
So,draw the other two lines such that those two lines intersect on one of parallel lines.in that case there are three points where lines intersect.
Hence, option B is correct.
Draw a diagram for this problem.
Draw two parallel lines, as given the other two lines cannot be parallel to themselves or to the first two lines.
Your diagram may seem to suggest maximum five points of intersection; However, the point of intersection of the two non-parallel lines can overlap with a point of intersection on one of the parallel lines.
So,draw the other two lines such that those two lines intersect on one of parallel lines.in that case there are three points where lines intersect.
Hence, option B is correct.
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