In a huge park, people are concentrated at three points
A : where there are different slides and swings for children. 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 ?

In a huge park, people are concentrated at the points A: where there are difference slides for children B: near which a man-made lake is situated C: which is near to a large parking and each where should an icecream parlour be set up that maximum number of persons can approach it

Paper delievery boy wants to park his cycle at some point P and deliver the newspaper to house A and B . Where should he park the cycle so that his walking distance AP + Bp will be least ? You can use relfection symmetry here . Let A' be the image of A in the mirror line which is the street here . Then the point P is the ideal place to park the cycle . (where the mirror line and A'b meet ) Can you say why ?