Is Nikon 70-200mm VR lens compatible with D5200 camera?

Is Nikon 70-200mm VR lens compatible with D5200 camera? - 1

Absolutely

ANY Nikkor AF-S lens can be used with your D5200

That information is in your cameras user manual on page 199.

You need to depend upon the information that is contained in your user manual for accurate information about your camera

As you can see, ali Raza gave you false information

Nikon has two 70-200mm lenses, the AF-S NIKKOR 70-200mm f/2.8G ED VR II and the AF-S NIKKOR 70-200mm f/4G ED VR. Both are compatible with your D5200 camera.

Yes. Any AF-S lens is compatible.