Question

Draw segment AB. Draw perpendicular bisector l of the segment AB. Take the point D on the line l as center, DA as radius and draw a circle. Observe that the circle passes through point B also.
Similarly take more three to four points on perpendicular bisector of the segment AB. Taking any other point E on the line l, if a circle is drawn with center Q and radius EA, will it pass through B ?
How many such circles can be drawn, passing through A and B ?
Where will there centers lie ?

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Answer 1

Answer:

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