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Question

In a huge park, people are concentrated at three points (see Fig):
A : where there are different slides and swings
B : near which a man-made lake is situated,
C : which is near to a large parking and exit
Where should an icecream parlour be set up so that maximum number of persons can approach it?
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Solution

To set up a parlor, we should chose a place that is equidistant from A, B and C.
This point can be located by obtaining point of intersection of perpendicular bisector.
So, D is the required point which is equidistant from A, B and C.

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