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Question -

A line segment AB is of length 5cm. Draw a circle of radius 4 cm passing through A and B. Can you draw a circle of radius 2 cm passing through A and B? Give reason in support of your answer.



Answer -

Given that a line AB = 5 cm, one circle having radius of  which is passing through point A and B and other circle of radius .
As we know that the largest chord of any circle is equal to the diameter of that circle.
So,  
There is no possibility to draw a circle whose diameter is smaller than the length of the chord.

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