Answer:
Three or more points are said to be collinear if they lie on a single straight line.
Let A, B, C, D and E be five points such that no three of them are collinear.
Since, total number of points is
5
and we need
2
points to form a line.
∴
Total number of lines passing through the points is
×
=
10
Lines passing through these five points are AB, BC, CD, DE, EA, BE, BD, CE, AC and AD.
Hence, the number of lines are 10.
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Answers & Comments
Answer:
Three or more points are said to be collinear if they lie on a single straight line.
Let A, B, C, D and E be five points such that no three of them are collinear.
Since, total number of points is
5
and we need
2
points to form a line.
∴
Total number of lines passing through the points is
5
×
2
=
10
∴
Lines passing through these five points are AB, BC, CD, DE, EA, BE, BD, CE, AC and AD.
Hence, the number of lines are 10.