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Question

The greatest number of points of intersection of 8 lines and 4 circles is:

A
64
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B
92
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C
104
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D
96
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Solution

The correct option is A 104
Two lines will intersect at one point. So max numbers of point of intersection are given by 8C2

Two circles will intersect on two points at max, so total number of point of intersections of circles can be 4C2×2.

Now we can take a circle, a line and they will also intersect on 2 points

so total we have

8C2 + 4C2×2 + 2×4×8=104

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