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

(a) 26 

(b) 56 

(c) 50 

(d) 72

1 Answer

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Best answer

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

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