1. Draw different pairs of circles. How many points does each pair have in common?
What is the maximum number of common points?
2.
Suppose you are given a circle. Give a construction to find its centre.
3. If two circles intersect at two points, prove that their centres lie on the perpendicular
bisector of the common chord.
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Answer:
first the common points are 0,1,2 maximum number of common points are 2 . to find a centre of circle is to make to chords and the perpendicular bisector they both meet at point which is known as centre draw the perpendicular of both circles this will make 90 degree angle is perpendicular bisector