The cell is the basic unit of life because it is the smallest unit of living matter that can carry out all the functions necessary for life. All living things are made up of cells, and each cell has certain components that allow it to carry out its functions.
The two most important components of a cell are the nucleus and the cytoplasm. The nucleus contains the cell's genetic material, which controls the cell's functions and determines what the cell will become. The cytoplasm is the jelly-like substance that fills the cell and contains all the other components necessary for the cell's function, such as organelles like mitochondria and ribosomes.
Some cells, such as plant cells, also have a cell wall that surrounds the cell membrane and gives the cell structure and protection. Additionally, plant cells may also have a large central vacuole that stores water, nutrients, and waste products.
Therefore, the correct option is "cytoplasm and nucleus" as these two components are essential for a cell to function and carry out its basic processes.