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If a number of circles pass through the end points P and Q of a line segment PQ, then prove their centres lie on the perpendicular bisector of PQ.

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To prove that the centers of circles passing through the endpoints P and Q of a line segment PQ lie on the perpendicular bisector of PQ, we can follow these steps: ### Step-by-Step Solution: 1. **Draw the Line Segment PQ**: Start by drawing a line segment PQ, where P and Q are the endpoints. 2. **Identify the Midpoint M**: ...
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