Draw a circle with centre at point O. Draw its two chords AB and CD such that AB is not parallel to CD. Draw the perpendicular bisectors of AB and CD. At what point do they intersect ?

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Solution

Steps of construction :

(i) Draw a circle with centre O and a suitable radius.

(ii) Draw two chords AB and CD which are not parallel to each other.

(iii) Draw the perpendicular bisectors of AB and CD with the help of ruler and compasses. We see that these two chords intersect each other at the centre O, of the circle.

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