In a plane there are 37 straight lines of which 13 pass through the point 
and 11 pass through the point 
. Besides no three lines pass through one point, no line passes through both points 
and 
and no two are parallel. Then the number of intersection points the lines have is equal to
Text Solution
Verified by ExpertsA
The number of points of intersection of 37 straight lines is 
. But 13 of them pass through the point 
. Therefore instead of getting 
points we get merely one point.
Similarly 11 straight lines out of the given 37 straight lines intersect at 
. Therefore instead of getting 
points, we get only one point. Hence the number of intersection points of the lines is 
.
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