# A paper delivery boy wants to park his cycle at some point P and deliver the newspaper to houses A and B. Where should he park so that his walking distance AP+BP will be least?? please refer page number 271 of the 6th NCERTMathematics Book for the figure.

We can find that point " P " As :

With the help of reflectional symmetry here. Let A' be the image of A in the mirror line which is the street here.

Then

We join line A'B and line A'B intersect our street line at " P " . So,

The point P is the ideal place to park the cycle , As AP + BP is least .

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