Usage patterns
〈事〉の真偽を問うto question the truth/authenticity of something
The reporter questioned the truth of the statement.
〈事〉の真偽が明らかになるfor the truth or falsehood of something to come to light
As a result of the investigation, the truth of the rumor came to light.
〈事〉の真偽を判断するto judge whether something is true or false
An expert judged whether the information was true.
真偽は不明だit is unknown whether something is true or false
It is unclear whether that information is true or false.
Expressions
真偽のほどtruth or falsity; whether something is true