what is the difference between cooking range µwave oven & which is the best for cooking (veg & non-veg)?

Answer 1

a cooking range microwave oven versus a free-standing microwave?

The main difference can be power.
I've noticed the microwave ovens that are above the range are usually lower power than a free-standing microwave oven. However, there are comparable range top microwave ovens that are in the 1000 watt range.

They're both good at cooking veggies. For me, I look for a turntable and output power. My reasoning is the higher the power the quicker the food cooks and the turntable rotates the food so it cooks more evenly.