Can I opt for this career if I've taken Maths, Physics, Chemistry and Computer?I didn't take Biology.

Though you haven't mentioned a particular career option so i am telling you all possibilities

1. If you score some decent marks in PCM you can always go with B.Sc . On Completion of this you have various ways . a) Go with MCA . b) Go for CAT exam and do MBA. c) Go for M.Sc . from one good university then stay with education line in india or write GRE and go abroad for your PhD . d) Write competitive exam exams (It’s not a safe idea though).
2. You can write NIFT exam and can set for a new life style.
3. You can join BBA then can go for MBA .
4. You can write NDA exam but just only cracking that exam won’t be helpful . for more details read this : Sampad Acharya's answer to I am a PCM student in class 11 in India. What are my career options?
5. You can write JEE Main for B.Arch .
6. You can go for Hotel Management . But I would not suggest my own brother to do it. May be I have less knowledge about this line.
7. You can switch to LLB.
8. Go with Economics Honors and be one Business Analyst .

If you go with B.Tech or B.E. there will be plenty of career options . like:

1. M.Tech
2. Get a Job( Campus Jobs )
3. Write GATE to get in PSU .
4. Write I