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  • Write ‘True’ or ‘False’ and justify your answer in each of the following If a number of circles pass through the end points P and Q of a line segment PQ, then their centres lie on the perpendicular bisector of PQ.

Write ‘True’ or ‘False’ and justify your answer in each of the following: If several circles pass through the endpoints P and Q of a line segment PQ, then their centres lie on the perpendicular bisector of PQ.

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best_answer

According to the question.

Here C1 and C2 circles pass through the points P and Q.
We know that the perpendicular bisector of the chord of a circle always passes through the centre of the circle. Hence the perpendicular bisector of line PQ passes through the centre of circles of C1, and C2.
Hence the given statement is True.

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