Eligibility for engineering at NCU Gurugram:

1. 10+2 (English Medium) examination conducted by Central Board of Secondary  Education or equivalent examination from a recognized board in Science stream with an overall aggregate of minimum 60% . Must appear in JEE 2019.
2. In case adequate students are not available in a discipline(s) a higher number can be filled in the discipline(s) which have a greater demand subject to the number of students not exceeding the total intake of all disciplines.
3. 15% intake will be allocated for Children/Wards of NRI / International students. Unfilled seats in this category will be transferred to the resident Indian category and shall be filled on merit.
4. Should seats still remain vacant, in any course, if at all, after exhausting the merit list of applicants of the National Test(s), seats may be filled on the basis of results in the qualifying examination subject to meeting the minimum
   eligibility criteria specified.

Visit: https://www.ncuindia.edu

Yes, according to the eligibility criteria you need to complete your class 12th from a delhi based school in order to take advantage of delhi quota in entrance exams, it doesn't matter whether you're a resident of delhi as long as the school is in delhi the condition is satisfied. So you are eligible for the quota in entrance exams or college admissions.

Hope it helps.

Thank you.