wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The maximum number of points of intersection of five lines and four circles is

A
60
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
72
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
62
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 62
Two circles intersect at two distinct points. Two straight lines intersect at one point. One circle and one straight line intersect at two distinct points. Then the total numbers of points of intersections are as follows:
Number of ways of selectionPoints of intersection
Two straight lines : 5C25C2×1=10
Two circles : 4C24C2×2=12
One line and one circle : 5C1×4C15C1×4C1×2=40
Total62

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Combinations
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon