Question

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 What is the maximum number of possible points of intersection of four straight lines and a circle (intersection is between lines as well as circle and lines)?

(a) 6

(b) 10

(c) 14

(d) 16

Answer = 
Intersection among 4 lines =4^C_{2} = 6 points.
 Intersection of 4 lines with circle, Each line can intersect the circle at most 2 times, giving 4 × 2 = 8 points. Total intersection = 6+8=14 points .
. Option (c) is correct.

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