Question

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

A

B

C

D

Medium

Solution

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Correct option is
C

Two lines will intersect at one point. So max numbers of point of intersection are given by

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

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

so total we have 

+

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