Matematické Fórum

stuart clark · 27. 10. 2011 15:46

A family of lines in parameters $t$ and $\theta$ given by $x \cos \theta + y\sin \theta = t^2 + 2t + 4$ represents rivers flowing in the $XY$ plane.

A man at origin is thirsty and wants to drink from the closest river. What is the minimum distance he has to travel?

musixx · 31. 10. 2011 08:49

Considering a well-known 2-dimensional point-line distance formula for a line $x \cos \theta + y\sin \theta + ( -t^2 - 2t - 4)=0$ and a point $[0,0]$ , reduces a task to find a minimum of a function $|t^2+2t+4|$ .

Matematické Fórum

#1 27. 10. 2011 15:46

minimum distance

#2 31. 10. 2011 08:49

Re: minimum distance

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