If ` 2 (y - a) ` is the ` H.M.` between ` y - x and y - z ` then ` x-a, y-a, z-a` are in (i) A.P (ii) G.P (iii) H.P (iv) none of these

If x,y,z are in A.P. then : yz,zx,xy are in (a) A.P (b) G.P (c) H.P (d) no definite sequence

If sin(y+z-x),sin(z+x-y),sin(x+y-z) are in A.P.then tan x,tan y, tan 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 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 and zare in geometric progression. Then log_x10, log _y10 and log_z10 are (i)A.P (ii)H.P (iii)G.P (iv) none of these

If y-z,2(y-a),y-x are in H.P. prove that x-a,y-a,z-a are in G.P.

If y-z,2(y-a),y-x are in H.P. prove that x-a,y-a,z-a are in G.P.

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 sin(y+z-x),sin(z+x-y),"sin"(x+y-z) are in A.P., then t a n x ,tany ,tanz are in (a)A.P. (b) G.P. (c) H.P. (d) none of these