Verified answer

The Answer is B. a white dwarf

Tau Ceti is a G-type star similar to the sun but with slightly less mass

"Tau Ceti (τ Cet, τ Ceti) is a star in the constellation Cetus that is spectrally similar to the Sun, although it has only about 78% of the Sun's mass"

"A G-type main-sequence star will fuse hydrogen for approximately 10 billion years, until it is exhausted at the center of the star. When this happens, the star expands to many times its previous size and becomes a red giant, such as Aldebaran (Alpha Tauri).[9] Eventually the red giant sheds its outer layers of gas, which become a planetary nebula, while the core cools and contracts into a compact, dense white dwarf"

It will go red giant like our star then ultimately end up white dwarf just like are star, and only supernovae end up as black holes

A. All stars end up as a black hole when nuclear fusion stops occurring and the whole star collapses on itself because of its gravity, forming the black whole.