Z, under the influence of madness, attempts to kill A;

Solution

As per S. 98. Right of private defence against the act of a person of unsound mind, etc .—When an act, which would otherwise be a certain offence, is not that offence, by reason of the youth, the want of maturity of understanding, the unsoundness of mind or the intoxication of the person doing that act, or by reason of any misconception on the part of that person, every person has the same right of private defence against that act which he would have if the act were that offence.    

Illustrations Z, under the influence of madness, attempts to kill A; Z is guilty of no offence. But A has the same right of private defence which he would have if Z were sane .