No, most deserts are located some distance from the equator.
Deserts can be found north and south of the equator.
A desert on the equator would be an anomaly as there are no deserts on the equator.
At the equator the air rises and carries moisture into the atmosphere which brings rains to the surrounding region. Rain forests are usually found in the area of the equator and not deserts.
Air in the tropics along the equator rises, carrying with it moisture that then falls in the tropics. The dry air then sinks at about 25 degrees north and south forming deserts.
Actually, there are no real deserts near the equator. This region is known more as a region of heavy rain and rainforests. Most hot deserts occur about 30 degrees north and 30 degrees south of the equator.
The sun would only be on top of a desert if that desert was on the equator. As there are no deserts on the equator there are no deserts with the sun right on top. Antarctica is a desert and the sun actually disappears during the winter months.
Deserts can be found in almost any latitude away from the Equator. They are found in southern Mongolia and northern China.
No, the cactus isn't native to all of the world's deserts. It's a native plant of the Americas. So it only is found natively in American deserts.
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Not necessarily. The only desert truly in a frigid zone is Antarctica. Other cold deserts may have a very hot summer but winters that can be bitterly cold. Exampls are the Gobi Desert of China and Mongolia and the Great Basin Desert of the United States,