When plant showed the partial resistance against all the races of pathogen then it is a type of

When plants showed partial resistance against all races of pathogens then it is a type of Horizontal resistance.
In genetics, the term horizontal resistance was first used by J. E. Vanderplank to describe many-gene resistance, which is sometimes also called generalized resistance.
The resistance that is effective at preventing successful attack by all races of a pathogen is called general (or horizontal) resistance.