Mathematics
Describe the locus of points inside a circle and equidistant from two fixed points on the circumference of the circle.
Answer
Steps of construction :
Draw a circle with O as center.
Mark two points A and B. Join AB.
Draw perpendicular bisector of AB. It should pass through center of the circle.
Since, O lies on perpendicular bisector of AB so OA = OB.
Hence, the locus of points inside the circle which are equidistant from the two fixed points on the circumference of a circle will be the diameter which is the perpendicular bisector of the chord joining the two fixed points on the circle.
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