Extracting the closest Point to a Line within a Polygon using ArcGIS for Desktop

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I have the following shapefiles:

• Polyline: Detailing a road network.
• Polygon: Containing approx. 2000 polygons enclosing sections of that road network.
• Point: Containing numerous (OS Addressbase) points falling within each of the polygons.

Using ArcGIS for Desktop, I would like to identify and extract to a new shapefile the point within each polygon that is closest to the road network, and also calculate the distance that each closest point is from the road network.



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