Solve this:
A circle of radius 3 cm can be drawn through 2 points A and B such that AB is of length:
(a) 6 cm                (b) 7 cm                (c) 10 cm               (d) 12 cm

Dear Student,

Please find below the solution to the asked query:

Given : A circle of radius 3 cm can be drawn through 2 points A and B , So

AB  =  2 ( Radius ) =  2 ( 3 ) = 6 cm  ( That is maximum value of length of AB )

We can say that from given condition :  AB 6

But we have in option that matches given explanation is ' 6 '


Therefore,

Option ( a )                                                  ( Ans )

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It is given that the radius of circle is 3 cm. And it has to be drawn in such a way that it touches the points A and B.

The maximum distance between A and B can 6 cm, i.e. when they are located diametrically. Other than this location, the length of AB will be less than 6 cm.

Also, since the maximum length of AB is 6 cm, therefore all other options are incorrect.
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