Hey Abhijit,
As you have mentioned that you had health as well as family problems for 3 years. You should give an more genuine answer as you can basically do anything for that. Yes 2-3 years gap is a big deal but it won't affect your employment unless you are not ready for job. Just focus on making your resume look more productive and less focused on the gap.
Best of luck
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile