does it follow any path ?
Yes, the Moon's umbra moves rapidly from west to east across the Earth.
Path
During a central eclipse, the Moon's umbra (or antumbra, in the case of an annular eclipse) moves rapidly from west to east across the Earth. 
what factor limits the number of eclipses each year The alignment of the Sun, Moon and Earth. what is this phenomena ? A solar eclipse occurs when a portion of the Earth is engulfed in a shadow cast by the Moon which fully or partially blocks sunlight. what are the different types of it ? There are four types of solar eclipses. what is their frequency ? Between two and five solar eclipses occur every year. what is their duration ? The longest eclipse that has been calculated thus far is 7 minutes 29 seconds.
During a central eclipse, the Moon's umbra moves rapidly from west to east across the Earth. During a central eclipse, the Moon's umbra (or antumbra, in the case of an annular eclipse) moves rapidly from west to east across the Earth. During a central eclipse, the Moon's umbra moves rapidly from west to east across the Earth.
Solar eclipse Solar eclipse Solar eclipse
Path Path Path
During a central eclipse, the Moon's umbra (or antumbra, in the case of an annular eclipse) moves rapidly from west to east across the Earth.  During a central eclipse, the Moon's umbra (or antumbra, in the case of an annular eclipse) moves rapidly from west to east across the Earth.  During a central eclipse, the Moon's umbra (or antumbra, in the case of an annular eclipse) moves rapidly from west to east across the Earth.
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Solar eclipse [SEP] Path
During a central eclipse, the Moon's umbra (or antumbra, in the case of an annular eclipse) moves rapidly from west to east across the Earth. The Earth is also rotating from west to east, at about 28 km/min at the Equator, but as the Moon is moving in the same direction as the Earth's rotation at about 61 km/min, the umbra almost always appears to move in a roughly west–east direction across a map of the Earth at the speed of the Moon's orbital velocity minus the Earth's rotational velocity. Rare exceptions can occur in polar regions where the path may go over or near the pole, as in 2021 on June 10 and December 4.