Is the winter solstice as long as the night? Urgent need for a correct answer, thank you!

The day from winter to solstice is not as long as day and night. There are only two days in a year as long as day and night, that is, the vernal equinox and the autumn equinox. In these two days, the sun moves near the equator of the earth, so day and night are the same. In winter, the sun runs near the tropic of Capricorn, which is the shortest day and the longest night in a day. Similarly, the sun moves to the summer solstice on the tropic of cancer, which is a year.