Question

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

• A. 60
• B. 72
• C. 62
• D. None of these

Answer 1

The correct option is C

62

Points of intersection of
Two lines ${=}^5{C}_2\times 1=10$
Two circles ${=}^4{C}_2\times 2=12$
One line and one circle ${=}^5{C}_1{\times }^4{C}_1\times 2=40$
Total = 62