Hii aspirant..

As your having your home state Bihar you are eligible for home state quota from Bihar state.

And you have completed your senior secondary from Delhi and if your school from where you have passed Senior Secondary is in Delhi then you are eligible for Delhi State quota as well.

But during the counselling process you can use home state quota of any of the one place either home state quota from Bihar or home state quota from Delhi.

But the condition is that your school from where you have passed out Senior Secondary that is class 12th is located originally in Delhi.

Hope it helps. 

Best of luck.