expression
imminent danger; precarious situation
A literary set phrase meaning a situation as fragile as a pile of eggs, where disaster could strike at any moment. Often used in formal or written contexts.
See also: 累卵
その国の財政は累卵の危うきにある。
The country's finances are in imminent danger.
危うい is the adjective meaning 'dangerous' or 'precarious'; 累卵の危うき uses its classical attributive form 危うき in a fixed expression.
Derived from classical Chinese, where piling eggs is a metaphor for extreme instability. The phrase uses the classical Japanese attributive form 危うき (modern 危うい).