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Question
If two lines are transversal to three parallel lines, then the number of points of intersection can be ___ .
If two lines are transversal to three parallel lines, then the number of points of intersection can be
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Solution
The three parallel lines do not intersect. Each transversal intersects with the three parallel lines. Also the transversals need not be parallel. So, they can intersect with each other.
Therefore, the number of points of intersection = 3×2+1=7
The three parallel lines do not intersect. Each transversal intersects with the three parallel lines. Also the transversals need not be parallel. So, they can intersect with each other.
Therefore, the number of points of intersection = 3×2+1=7
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