It occurred in Northallerton at approximately 4pm on Saturday 27 September 2014, on the A167, at the junction with Standard Way industrial estate.
The collision involved a blue Volkswagen Bora car and an orange Yamaha motorcycle.
As a result of the incident the rider, a 49-year-old man from Billingham, suffered leg injuries and was taken to James Cook Hospital, Middlesbrough, where he currently remains in a comfortable and stable condition.
Traffic Constable Laura Cleary, of the Force’s Roads Policing Group, said: If you witnessed the collision or saw either of the vehicle prior to the incident I ask you to contact the police straight away as you may have information which could assist my enquiry.
Anyone who can assist this investigation should contact North Yorkshire Police on 101, select option 2 and ask for Laura Cleary. Alternatively, information can be emailed to Laura.email@example.com
Please quote reference number 12140166500.