What is the ruling on using injectable medicine that contains alcohol, and is the questioner sinful if she gives it to her mother or if she refuses? And what is the ruling on using the alcoholic substances mentioned in the question?

Some types of alcohol are intoxicating and impure, while others are pure and a deadly poison. If the type of alcohol is unclear and knowledge is unattainable, then it is subject to the ruling of doubt between purity and impurity. If avoiding it poses no hardship, such as using it for perfume, then all types must be avoided. However, if avoiding it poses hardship, such as using it for medical treatment, then the ruling of prohibition is lifted, and it is permissible to use the doubtful type.