The maximum number of points into which 4 circles and 4 straight lines intersect, is
26
72
56
50
A
26
B
50
C
56
D
72
Open in App
Solution
Verified by Toppr
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 points 4 lines cut four circles into 32 points. ∴ Maximum number of points =6+12+32=50
Was this answer helpful?
2
Similar Questions
Q1
The maximum number of points into which 4 circles and 4 straight lines intersect is
View Solution
Q2
The maximum number of points of intersection of 4 circles and 4 straight lines is
View Solution
Q3
If the maximum number of points in which 4circles and 4straight lines intersect is k, then write the value of k.
View Solution
Q4
Assertion :The maximum number of points of intersection of 8 circles of unequal radii is 56. Reason: The maximum number of points into which 4 circles of unequal radii and 4 non coincident straight lines intersect, is 50.
View Solution
Q5
The greatest possible number of points of intersection of 8 straight lines and 4 circles is