1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# In a plane there are 37 straight lines of which 13 pass through point A and 11 pass through the point B. Besides, no three lines pass through one point, no line passes through both A and B, and no two lines are parallel. Then the total number of intersection points of the lines are

A
728
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
426
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
535
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
601
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is C 535The number of points of intersection of 37 straight lines is 37C2, but 13 of them pass through the point A. Therefore, instead of getting 13C2 points we get merely one point. Similary, 11 straight lines out of the given 37 straight lines intersect at B. Therefore, instead of getting 11C2 points, we get only one point. Hence, the number of intersection points of the lines is = 37C2− 13C2− 11C2+2 =535

Suggest Corrections
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program