Guru Gobind Singh Indraprastha University Delhi Answered Questions

Yes you can get admission in BCA course at IPU. The eligibility criteria of BCA of IPU is given below.
Eligibility criteria : Pass in 12th Class of 10+2 of CBSE or equivalent with a minimum of 50% marks in aggregate in best four subjects with pass in English (core or elective or functional). Mathematics or (Computer Science / Informatics Practice / Computer Applications / Multimedia & Web Technology / Data Management Application / Web Application as compulsory subject of non-vocational stream with 50 theory and 50 practical ratio).
Admission criteria : Admission shall be on the basis of the merit of the written test / CET.
So from above your IP subject of 12th will be consider here in place of Maths.

The eligibility criteria of GGSIPU for B.Com.(Hons) is given below:
Eligibility criteria : 50% in aggregate in 10+2 examination / senior school certificate examination of C.B.S.E . as minimum marks for admission to B.Com with pass in five subjects (One language and four elective subjects) or an examination recognized as equivalent to that.
Admission criteria: Written test
So from above, mathematics is not necessary for B.Com (Hons) of GGSIPU.

Sorry to say, but you will not get any college on the basis of your NATA and JEE Mains paper 2 scores. The reasons are:
90+ marks are considered as NATA cutoff for various government colleges.
300+ marks are considered as JEE Mains paper 2 cutoff for NITs and government colleges.

The following Colleges offers B.Tech lateral admission in B.Tech CSE.
1. Delhi Technological University
2. Guru Gobind Singh Indraprastha University, Dwarka, Delhi
3. Dr. Akhilesh Das Gupta Institute of Technology & Management, New Delhi
4. GL. Bajaj Institute of Technology and Management, Greater Noida
5. Amity University, Noida.

No, Mathematics is not necessary in class12th for B.Com (Hons. ) of GGSIU. The eligibility criteria for B.Com (Hons. ) of GGSIU is given below. Eligibility Criteria: 50% in aggregate in 10+2 examination / senior school certificate examination of C. B. S. E. as minimum marks for admission to B.Com with pass in five subjects (One language and four elective subjects) or an examination recognized as equivalent to that. Admission Criteria: Admission shall be on the basis of the merit of the written test /CET.

I am listing down some colleges affiliated to IP University that provide mass communication courses.
Maharaja Agrasen Institute of Management Studies, Vivekananda Institute of Professional Studies, Madhu Bala Institute of Communication and Electronic Media, BLS Institute of Technology Management, Tecnia Institute of Advanced Studies are some of the colleges that provide mass communication course.