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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 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.

Answers (1)

Answer True
Solution
According to question.
   
Here C1, C2 circles pass through the point P and Q.
We know that the perpendicular bisector of chord of a circle is always passes through the center of the circle. Hence the perpendicular bisector of line PQ passes through the center of circles of C1, C2.
Hence the given statement is True.

 

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