Final answer:
Upon calculating, the total maximum points of intersection among 3 circles and 2 lines is 19, which does not match any of the provided multiple-choice options.
Step-by-step explanation:
The maximum number of points of intersection among 3 circles and 2 lines in the same plane can be determined by considering how each shape can intersect with the others. Each circle can intersect with another circle at most at two points. Therefore, 3 circles can intersect each other at most at 3*2=6 points. Each line can intersect a circle at most at 2 points. Since there are 2 lines and 3 circles, the maximum intersections between lines and circles are 2*3*2=12. Finally, a line can intersect another line at most at 1 point. Thus, adding up all possible intersections, we get 6 (circle-circle intersections) + 12 (line-circle intersections) + 1 (line-line intersection) = 19 points.
However, within the provided options, the highest number is 9, hence there might be an error in the choices provided as none of them match the calculated maximum of 19.