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Draw and describe the locus of centres of all circles passing through two fixed points.

Locus

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Answer

Let the two fixed points be A and B, and C1, C2, C3 be the centres of circles passing through A and B.

From figure we see that,

Draw and describe the locus of centres of all circles passing through two fixed points. Locus, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.

The locus of the centres of the circles passing through two points will be the perpendicular bisector of the line segment joining two fixed points.

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