Dear Richa, you haven't mentioned your Category and your aggregate in 12th in Physics, Chemistry and Biology. For being eligible for NEET, you should have completes your 10+2 with a minimum aggregate of 50% in Physics, Chemistry and English. It is 50% for General Category, 45% for PWD and 40% for OBC,SC,ST. Now regarding your Graduation, you haven't mentioned whether you have completed your Bachelor's degree or not. Irrespective of that, if you have completed your 10+2 with required aggregate against your Category, you are eligible for appearing in NEET.
For the benefit of you and lakhs of aspirants, we shall detail the registration process.

ELIGIBILITY:

• Indian Nationals, NRIs, PIOs, OCIs, and Foreign Nationals
• No upper age limit as of now. The Candidate should be at least 17 years by December 31st of 2020
• You should have completed your 10+2 with Physics, Chemistry and Biology as your Core Subjects.
• 50% Aggregate in Physics, Chemistry and Biology for General Category, 45% for PWD and 40% for OBC,SC,ST Candidates.
• NIOS and Private Candidates are also eligible

IMPORTANT DATES:

Registration Dates: 2nd to 31st December, 2019
Downloading of Admit Cards: 27th March, 2020
Date of Examination: 3rd May, 2020
Date of Announcing Result: 4th June, 2020

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Hey there

Since you have passed your 12th with biology so you are eligible for your neet exam and if you'll clear the exam you will have to take your transfer certificate and your documents from the college you are doing your BA hons. 

Check neet eligibility

https://www.google.com/url?sa=t&source=web&rct=j&url=https://medicine.careers360.com/articles/neet-eligibility-criteria/amp&ved=2ahUKEwi9hK_P2qDkAhXJTX0KHcYkD_AQFjAbegQIARAB&usg=AOvVaw3J48XLYjRlxkl5RSraYMod&ampcf=1

Good luck

Hello aspirant,
Yes, you can appear for neet.. There is no problem in you pursuing your graduation. You can appear for neet side by side.. A lot of students do this.. the basic eligibility for neet is that the Candidates must have passed 10+2 or equivalent with Physics, Chemistry, Biology/Biotechnology and English as core subjects from a recognized board.
If you are planning for neet 2020 then The Minimum Age Requirement is as follows:-

• Candidates must have completed 17 years as on December 31, 2020

There is no upper age limit till the Supreme Court passes its judgement on it. So you can appear for neet.
All the best

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