Chapter PS, Problem 6.8P

To determine

To find: The number of points can two distinct circles share.

Answer to Problem 6.8P

The maximum number of points can two distinct circles share is $2$ .

Explanation of Solution

Given information:

Two distinct lines can share no points or one point.

The number of points can two distinct circles share is calculated as,

  $\begin{array}{c}t=n\left(n-1\right)\\ =2\left(2-1\right)\\ =2\end{array}$

Thus, the maximum number of points can two distinct circles share is $2$ .