In a plane there are 37 straight lines of which 13 pass through point 
and 11 pass through the point 
. Moreover, no three lines (apart from the lines passing through 
and 
) pass through same point and no two are parallel. What is the number of points of intersection of the straight lines?
Text Solution
Verified by ExpertsC
There are total 37 lines in the plane and no three lines passes through 3 points. Total number of intersection points are 
. There are 13 lines passes through point 
which have only one intersection point not 
. similarly, only are intersection point 
no 
. Now, we consider point 
and 
individual points.
Number of ways 
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems