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In a plane we have N lines, no two of which are parallel or perpendicular, and no three of which are concurrent. A cartesian system of coordinates is chosen for the plane with one of the lines as the X-axis. A point P is located at the origin of the coordinate system and starts moving along the positive X-axis with constant velocity. Whenever P reaches the intersection of two lines, it continues along the line it just reached in the direction that increases its X-coordinate. Show that it is possible to choose the system of coordinates in such a way that P visits points from all N lines

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  • $\begingroup$ If you don't explain what you have tried so far, some guys here will burn you at stake :) $\endgroup$ – Oldboy Oct 2 '18 at 12:13
  • $\begingroup$ I just have enumarated some properties but dont havr any strategy how to attack this. I m ansious about the solution $\endgroup$ – edwinisaac Oct 2 '18 at 15:31

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