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HI Aishwarya
If you wanna go in Website Designing and Programing field then you have so many options. .
1) Btech
2) BCA
3) BscIT
4) Bsc (CS)
As you see all these are Graduation courses the question is what to choose in +2 and the answer is Science(Maths). It is the requirement of all these courses that you must have maths in +2 even you can't appear in some entrance for admission further if you dont have maths in +2.
Now what to choose after 12th ?
I will advise you to choose Btech(IT or CS) even you must choose Btech(IT/CS).
I won't advise you to choose BscIT , BCA or Bsc(CS) if you have option of doing Btech but if you don't have any option then choose BscIT.
Regards

Criteria for admission in to RIMS is done under OJEF RANK for admission into 1st year Master degree in Computer Application:
Passed or appearing in 2013, for the Bachelor's Degree
examination of minimum three years duration in any discipline
from any University of Odisha or from a recognized University as
defined by UGC and must have passed in Mathematics at 10+2
level or at Graduate Level. Business Mathematics at +2 level are
not permitted.
The candidate should have obtained at least 50% (45% in case of
candidate belonging to SC/ST category) at the qualifying
Examination.
If the candidate has passed BCA with mathematics as a
subject, he/she may appear the entrance test without
Mathematics at 10+2 level.
There is no age limit to admission to MCA course.
For admission into MCA under Lateral Entry to 2nd year:
Passed or appearing in 2013, for the Bachelor's Degree
examination of minimum three years duration in BCA, B. Sc (IT/
Computer Science) from any University of Odisha or from a
recognized University as defined by UGC and must have passed
in Mathematics as a course at 10+2 level or at Graduate Level.
Business Mathematics at +2 level are not permitted.
The candidate should have obtained at least 50% (45% in case of
candidate belonging to SC/ST category) at the qualifying
Examination.
There is no age limit to admission to 2nd year MCA under Lateral
Entry course.
For admission to MBA
Passed or appearing in 2013, for the Bachelor's Degree
examination of minimum three years duration in any discipline from
any University of Odisha or from a recognized University as defined
by UGC/AICTE.
OR
Passed or appearing in 2013, for the Bachelor's Degree in
Engineering / Technology / Pharmacy examination of minimum four
/ five years duration in any discipline from any University of Odisha
or from a recognized University as defined by UGC/AICTE.
The candidate should have obtained at least 50% marks (45% incase of candidate belonging to SC/ST category) at the qualifying
examination.
There is no age limit to for admission to MBA course.

You should go for MCA through IGNOU
For Admission Contact your nearest IGNOU study centre ,
Eligibility Criteria / Entry Requirements for MCA
1. Bachelor of Computer Science / Applications / Information Science / Information Technology from a recognised / deemed university
Non-computer Science B.Tech/M.Sc./other graduates (such applicants are required to pursue CIC concurrently with MCA 1st semester)
OR
2. Non-Computer Science B.Tech/M.Sc/other graduates (such applicants are required to pursue CIC concurrently with MCA 1st semester)
Or
3. Graduate with PGDCA from a recognised / deemed university or its equivalent course of not less than one year from a State Board of Technical Education or its equivalent body established by the Central/State Government
Note:
(i) The students who haven't studied Maths at 10+2 level are required to do CS-60 in the first semester of MCA.
(ii) The students enrolling for the MCA Programme who have completed the DEOACC O-level programme are not required to enroll for CIC.