Solstice = either of the two times (21 march and 22 december ) when the sun is farthest north or south of the equator.
equinox = either of the two times in a year (21 march and 23 september ) when the sun shines vertically on the equator due to which day and night are of equal length.

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When the Sun crosses the celestial Equator the situation is called Equinox.
When the Sun reaches the highest or the lowest point is called Solstice.Ex- Winter and summer solstice.