The maximum number of points of intersection of 7 straight lines and 5 circles when 3 straight lines are parallel and 2 circles are concentric, is/are-

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Aicharya · Accepted Answer

Points of intersection due to 7 s t r a i g h t l i n e s = 7 C 2 - 3 = 18 Two concentric circles can intersect these 7 lines at m a x i m u m = 14 + 14 = 28 p o i n t s Third circle can intersect the given system at m a x i m u m = 14 + 2 + 2 = 18 Fourth circle can intersect the system at maximum = 14 + 2 + 2 + 2 = 20 p o i n t s for f i f t h c i r c l e = 14 + 2 + 2 + 2 + 2 = 22 maximum no. of points of intersection = 18 + 28 + 18 + 20 + 22 = 106

The maximum number of points of intersection of 7 straight lines and 5 circles when 3 straight lines are…

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