If there are 12 distinct points on a plane, what is the maximum number of straight lines joining these points?
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Answer:
66
Step-by-step explanation:
If there are 12 distinct points on a plane, what is the maximum number of straight lines joining these points?
from first point 11 lines to 11 other points
from 2nd point 10 lines to other point as line to 1st point is already considered when lines from 1st point are countes
hence on
9 , 8 , 7 , 6 , ....................1
total number of lines
= 11 + 10 + 9 + ......................... + 3 + 2 + 1
= (11/2) (11 + 1)
= 66
Maximum 66 lines
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