Getting a car in Delhi-NCR is highly dependent on you as a person tbh.
You can make do without one. Uber and Ola works well as compared to Bangalore where even a 30s rain leads to no cab being available. In Delhi, you won’t face that problem.
Getting a car, is a great idea if you plan on travelling to nearby destinations💡
6 lacs is a tight budget. You could get a second hand car tbh. However, I would recommend that get a compact SUV over a Hatchback or a Sedan whenever possible. Maruti Brezza, Nissan Kiger, Tata Nexon, something like these.