The maximum number of points into which 4 circles and 4 straight lines intersect, is
26
72
56
50

Question

The maximum number of points into which 4 circles and 4 straight lines intersect- is26725650

Toppr Admin · Accepted Answer

4 lines intersect each other in 4C2-6 points 4 circles intersect each other in 4P2-12 points Every line cuts 4 circles into 8 points4 lines cut four circles into 32 points-x2234- Maximum number of points -6-12-32-50

The maximum number of points into which 4 circles and 4 straight lines intersect, is26725650

4 lines intersect each other in 4C2=6 points 4 circles intersect each other in 4P2=12 points Every line cuts 4 circles into 8 points4 lines cut four circles into 32 points.∴ Maximum number of points =6+12+32=50

The maximum number of points into which 4 circles and 4 straight lines intersect, is
26
72
56
50

4 lines intersect each other in $^{4} C_{2} = 6$ points 4 circles intersect each other in $^{4} P_{2} = 12$ points Every line cuts 4 circles into 8 points
4 lines cut four circles into 32 points.
$∴$ Maximum number of points $= 6 + 12 + 32 = 50$