There were occasions when the lioness attacked the smaller cats, such as cheetahs or leopards, and ate them (probably the smaller was sick or old). Also quite common are attacks on adult cats kittens your or other hearing kids as easy prey. So Yes, if the big cat is hungry, it will not disdain a small (including home) cat, or even a rabbit or a mouse.
Tigers are the largest members of the cat family and close relatives of other large cats, such as snow leopards and lions. These predatory cats are on the brink of disappearances, and in wild nature their remained, supposedly, only 3050-3950 individuals. Scientists believe that if you do not take measures to preserve them, then over time, these well-known cats will die out.
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