Mathematics
Answer
Steps of construction :
Let two points be A and B.
Construct the circles passing through A and B.
Draw perpendicular bisector of AB.
From figure,
The centers lie on the perpendicular bisector of AB.
Hence, the locus of centers of all the circles which pass through two fixed points will be the perpendicular bisector of the line segment joining the two given fixed points.
Related Questions
Describe the locus of the door handle, as the door opens.
Describe the locus of a point P, so that :
AB2 = AP2 + BP2,
where A and B are two fixed points.
Describe the locus of vertices of all isosceles triangles having a common base.
Describe the locus of points inside a circle and equidistant from two fixed points on the circumference of the circle.