(a) Given that x,y,z are in GP. ⇒y2=xz (1) If log(3x),log(3y),log(3z) are in AP Then, 2log(3y)=log(3x)+log(3z) 9y2=(9xz) 9y2=(9xz) y2=xz Hence, statement (1) is correct. Hence, we can say if x,y,z are in GP. ∴logx,logy,logz are in AP. ⇒xyz+logx,xyz+logy,xyz+logz are in AP. Hence, Statement (2) is wrong. ∴ Option (a) is correct.