Christ University Bangalore Answered Questions

You are eligible for the admission. You have to give the entrance exam held by Christ University. If you have missed the entrance exam there is second opportunity to take admission, which is on merit list based. You can fill a form online and send it to the Christ College admission office.
Good Luck.

Yes, you can complete your registration process online from Delhi. After registration you have to send the following documents at following address.
1. Copy of filled and signed application form
2. Fee acknowledgement slip
3. Copy of class 10th, class 11th and class 12th marksheets
4. Copy of Migration certificate of last school 12th if applicable
5. Copy of Transfer certificate from last qualified institute
Address :
The Office of Admissions,
CHRIST (Deemed to be University),
Bannerghatta Campus, Hulimavu, Bannerghatta Road,
Bangalore, Karnataka 560076.

Kindly predict your college in this college predictor. JEE Main rank predictor is an online tool which predicts the candidates rank range and probable colleges based on the difficulty level of the examination, average marks scored in JEE Main and seats available in IITs, NITs, GFTIs, and other SFTIs. The rank predicted might not be accurate but it certainly does give an idea to the aspirant. Know your college admission chances based on your JEE Main Rank, Home State, Caste, Gender, etc. Here https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Both the universities are very good. Christ University is a deemed University founded in 1969 and the KLE in 1916. You should go on to the websites and compare each university's infrastructure and placement records according to your needs. i would but I would recommend KLE.

Most of the Ph.D students get 25k stipend as junior research fellowship for initial 2 years and 28k as senior research fellowship for next 3 years at most of the research institutes, IITs, IISERs, NISERs, NITs and central universities. These fellowships amount is same but can be given by different grant organisations depending on your qualified exam like MHRD for Gate, CSIR or UGC for NET-JRF, DST for INSPIRE (for top 1% students of the state during masters).
But then there are also people at state universities who join their PhD with some project which may have different stipend depending on the project fund or by clearing individual university exam for which the stipend is very low. Also, very few universities conduct their own examination.
Good luck.