# How do I answer this question? "Locate a point C on the x-axis such that AC+BC is minimized C=(_______, 0 )" http://static.panoramio.com/photos/medium/90172710.jpg

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### 1 Answer

Let coordinate of A and B be respectively `(0,y_1) and (x_2,y_2).` Let coordinate of pont C be `(x,0)` ,which minimize AC+BC

But

AC+BC=`sqrt(x^2+y^2_1)+sqrt((x-x_2)^2+y^2_2)`

`x_2,y_1 ,and y_2` are fixed ,we can choose only x.

so if we choose x=0 ,it will give minimum.

C(0,0)