Question

The maximum no. of points into which 4 circles and 4 straight lines intersect is _______

(a) 26 

(b) 56 

(c) 50 

(d) 72

Answer 1

Correct option: (c) 50

Explanation:

4 lines are mutually intersects in ⁴C₂ = 6 points.

4 circles are mutually intersects in ⁴P₂ = 12 points.

also each line intersect each circle in two points.

∴ each line intersect 4 circles in 8 points.

∴ Number of points of intersection of 4 lines 4 x 8 = 32

∴ Total intersecting lines = 6 + 12 + 32 = 50