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Paper delievery boy wants to park his cy...

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 ?

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