Maithili, Shaila and Ajay live in three different places in the city. A toy shop is equidistant from the three houses. Which geometrical construction should be used to represent this? Explain your answer.

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Solution

Maithili, Shaila and Ajay be the three vertices of a triangle.
A toy shop equidistant from these three points will be the point of concurrence of the perpendicular bisectors
of the lines joining the three vertices of the triangle. Thus, the geometrical construction representing this will be the
circumcircle.

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