Question

how will you relate the distribution of mountain ranges with the distribution of earthquake epicenters and volcanoes?​

Answer 1

When you mention to distribution of epicenters, I assume you're asking about the distribution of earthquakes. Most mountain ranges are built along plate boundaries where the plates are crashing together. This collision of tectonic plates can result in a crumpling of the crust (as you find in the Himalayas) or a buckling of the crust over a zone of subduction (subduction being where one tectonic plate is pushed over another).

If you have a collision of tectonic plates without one being subducted under the other, as is the case in the Himalayas, you will have a (geologically) violent crumpling of the Earth and, as we all know, that is where you have the highest mountains of the world. Anyone who hasn't been living under a rock since before the recent Nepal quakes should know that there are very big earthquakes that can be associated with this collision. Earthquakes, in this situation, are highly correlated with mountain ranges, but they are not correlated with the growth of a specific mountain. You would not expect volcanoes in this type of continental collision.

Where you have a mountain range resulting from a buckling of the crust and subduction (see the graphic below) as you have in the Andes or in the Cascades of N. America, mountains grow as a result of collisional crumpling, the dragging down of the over-riding continental plate to generate a buckling of that plate and subduction-related volcanism.

Answer 2

We can relate them at the borders of the tectonic plates

Explanation:

1. Volcanoes, earthquake epicentres, and significant mountain belts are all located near the tectonic plate boundaries.
2. The "Ring of Fire," which is literally the Pacific Tectonic Plate's boundary, is home to the majority of active volcanoes today.
3. There are earthquake epicentres anywhere where two or more tectonic plates clash, move away from each other or subduct; earthquakes will occur regardless of whether they collide, move away from each other, or subduct.