Am I eligible to apply for the MCA after Distance Learning B.Sc. IT??? what are the eligibility conditions for this course???

Yes, you are eligible for the MCA after Distance Learning B.Sc. IT; the eligibility conditions for this program are as following:

Eligibility:
The applicant should hold Bachelor's degree in any discipline from any recognized university with Mathematics and / or Statistics as one of the Subjects in 10+2+3 pattern

This is the list of Top MCA Colleges in India:

University of Pune
Ganeshkhind, Pune, Maharashtra 411007 020 2560 1099 , regis@unipune.ernet.in

Jawaharlal Nehru University
New Mehrauli Road, New Delhi, 110067 011 2670 4090 , director_admissions @mail.jnu.ac.in

University of Hyderabad
Gachibowli, Hyderabad, Telangana 500 046 040 2313 2102 , acadinfo@uohyd.ernet.in

NIT Tanjore
Main Road, National Highway 67, Tiruchirappalli, Tamil Nadu 620015 0431 250 0370 , sundar@nitt.edu

Birla Institute of Technology
27, malviya industrial area, Malviya Nagar Industrial Area, Malviya Nagar, Jaipur, Rajasthan 302017 0141 - 4019798 , bitjaipur@bitmesra.ac.in

NIT NH 66, Srinivas Nagar,
Surathkal, Srinivasnagar, Surathkal, Mangalore, Karnataka 575025 0824 247 4000

Motilal Nehru National institute of Technology Teliarganj, Allahabad, Uttar Pradesh 211004 91-0532-2545404 , eo@mnnit.ac.in

PSG College of Technology
Avinashi Road, Peelamedu, Coimbatore, Tamil Nadu 641004 0422 257 2177 , principal@psgtech.edu

NIT Rourkela, Orissa,
India - 769 008 0661-2462020 , egistrar@nitrkl.ac.in

ITM University
NH 75, Madhya Pradesh 0751 243 2977 , alka.shrivastava1203@gmail.com

VIT University
Katpadi, Vellore, Tamil Nadu 632014 0416 224 3091 , ugadmission@vit.ac.in

BIT Birla Institute of Technology, Mesra Ranchi,
Jharkhand 835215, Mesra, Ranchi, Jharkhand 835215 0651 227 5444 , asvidyarthi@bitmesra.ac.in

NIT Kettangal Koduvally
Rd, Kerala 673601 0495 228 6100 , pgadmissions@nitc.ac.in

Jamia Millia Islamia Jamia Nagar, New Delhi, Delhi 110025 011 2698 1717 , mranjan@jmi.ac.in

Lovely Professional University Jalandhar-Delhi G.T. Road, National Highway 1, Phagwara, Punjab 144411 0182 440 4404 , admissions@lpu.co.in

NMIMS University V.L.Mehta Road, Vile Parle (W), , Indira Nagar, Mumbai, Maharashtra 400056 022 4235 5555 , enquiry@nmims.edu

Nirma University Sarkhej-Gandhinagar Highway , Post : Chandlodia, Via : Gota, Ahmedabad, Gujarat, India - 382481 02717 - 241900 to 04 , asst_registrar@nirmauni.ac.in

University of Calcutta 87 /1, College St, Kolkata, West Bengal 700073 033 2241 0071 , registrar@caluniv.ac.in

Anna University of Technology NH 67, Jothipuram, Tamil Nadu 641047. 0422 269 4455 , registrar@annauniv.ac.in

NIET School of Computer Science Applications 19, Knowledge Park-II , Institutional Area, Phase - II, Greater Noida, Uttar Pradesh, India 0120 - 2320062 , admission@niet.co.in