If `|[x+a, y+b, z+c] , [y+b, z+c, x+A] , [z+c, x+a, y+b]|=0` and `a+c=-b` then `x,-y/2,z` are in (A) A.P. (B) G.P. (C) H.P. (D) None of these

If a ,b ,c are in G.P. and a^(1//x)=b^(1//y)=c^(1//z), then x y z are in AP (b) GP (c) HP (d) none of these

If a,b,c are in G.P.and a^(1/x)=b^(1/y)=c^(1/z) then xyz are in AP(b)GP(c)HP(d) none of these

If a,b,c are proper fractiion are in H.P. and x sum_(n=1)^oo a^n, y=sum_(n=1)^oo b^n, z= sum_(n=1)^oo c^n then x,y,z are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

If a,b,c are proper fractiion are in H.P. and x sum_(n=1)^oo a^n, y=sum_(n=1)^oo b^n, z= sum_(n=1)^oo c^n then x,y,z are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

If x,y,z are in A.P. then : e^(-x), e^(-y),e^(-z) are in (a) A.P (b) G.P (c) H.P (d) no definite sequence

If a ,b,c are in G.P. and a^(x) =b^(y) =c^(z) then x,y,z are in

If x ,y ,z are real and 4x^2+9y^2+16 z^2-6x y-12 y z-8z x=0,t h e nx , y,z are in a. A.P. b. G.P. c. H.P. d. none of these

If x ,y ,z are real and 4x^2+9y^2+16 z^2-6x y-12 y z-8z x=0,t h e nx , y,z are in a. A.P. b. G.P. c. H.P. d. none of these

If x ,y ,z are real and 4x^2+9y^2+16 z^2-6x y-12 y z-8z x=0,t h e nx , y,z are in a. A.P. b. G.P. c. H.P. d. none of these