there are 4 circles and 4 straight lines....find the maximum number of intersecting points possible in the intersection of all these given figures....i cant get how to solve it....
That's certainly an upper bound, but it's not immediately obvious that all these intersections are achievable simultaneously.A circle can intersect another circle only twice so you would have:
6 intersects + 4 intersects + 2 intersects= 12
A straight line can intersect a circle a maximum of twice and there are four circles so:
8 intersects per line x 4 lines = 32 intersects.
Each line can also intersect the other lines at a single point so they overlap each of the four lines so not recounting an intersect would be:
Add them up:
12+32+6= 50 max intersects