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Question

Draw a circle with centre C and radius 3.4 cm. Draw any chord ¯¯¯¯¯¯¯¯AB. Construct the perpendicular bisector of ¯¯¯¯¯¯¯¯AB and examine if it passes through C.

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Solution

Steps of construction:
(i) Draw a circle with centre C and radius 3.4 cm.
(ii) Draw any chord AB bar.
(iii) Taking A and B as centers and radius more than half of AB bar, draw two arcs which cut each other at P and Q.
(iv) Join PQ. Then PQ is the perpendicular bisector of AB bar.
(v) This perpendicular bisector of AB bar passes through the centre C of the circle


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