Question

The greatest possible number of points of intersection of 8 straight lines and $4$ circles is $104$.

• A. True
• B. False

Answer 1

The correct option is A True

According to question,

There are 8 lines, for two lines meet in a point,

=> ${}^8{C}_2\times 1=\frac{8.7}{1.2}=28$

Line and circle meet in two points,

=>${(}^8{C}_1{\times }^4{C}_1)\times 2=64$

Two circles meet in two points,

=> ${(}^4{C}_2)\times 2=\frac{4.3}{1.2}.2=104$