Home  State  quota  is  ONLY  for  candidates  whose  Home State,  as determined by the State Code of Eligibility, is same as the state in which the institute is located. State  Code  of  eligibility  means  the  Code  of  the  State  from  where the candidate  has  passed Class  12th/ Equivalent qualifyingexamination by virtue of which he/she becomes eligible to appear in the JEE (Main) for admission to B.E/B.Tech and B.Arch/B. Planning Courses of the institutions/ Colleges of the States/UT.

As per rule, you are eligible for delhi home satet quota.
Have you appeared in JEE Main (Offline paper)?