Roth's spots may be observed in which of the following conditions?

Roth's spots are retinal findings characterized by white or pale areas with surrounding retinal hemorrhages, and they are associated with a number of systemic conditions, particularly those involving embolic phenomena. In this context, they are most notably linked with bacterial endocarditis, which can occur in patients with leukemia.

Leukemia can cause changes in the blood that lead to an increased risk of embolic events, which might result in these characteristic retinal findings. The platelets and white blood cells can also be impacted in leukemia, creating conditions that predispose someone to these spots appearing in the eye.

While chronic hypertension can have significant ocular complications, such as hypertensive retinopathy, it is not specifically associated with Roth's spots. Asthma, primarily a respiratory condition, does not correlate with retinal findings like Roth's spots either. Cholecystitis is a gastrointestinal condition involving the gallbladder and is unrelated to the types of systemic emboli that would cause Roth's spots. Thus, leukemia stands out as the condition in which Roth's spots are typically observed.