If `a-b,ax-by,ax^2-by^2a,b!=0)` are in G.P., then `x,y (ax-by)/(a-b)` are in (A) A.P. only (B) G.P.only (C) A.P., G.P. (D) A.P., and G.P and H.P

If a_n= the digit at units palce in the number o 1!+2!+3!+……….n! for nge4 the a_4, a_5, a_6, ……… are in (A) A.P. only (B) G.P. only (C) A.P. and G.P. only (D) A.P., G.P. and H.P.

If a,b,c are non zero real numbers such that 3(a^2+b^2+c^2+1)=2(a+b+c+ab+bc+ca) then a,b,c are in (A) A.P. only (B) G.P. only (C) A.P., G.P., and H.P. (D) A.P. and G.P.both

If xgt1,ygt1,zgt1 are in G.P. then 1/(1+Inx), 1/(1+Iny), 1/(1+Inz) are in (A) A.P. (B) H.P. (C) G.P. (D) none of these

If a,b,c are in A.P ,then 3^(a),3^(b),3^(c) shall be 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

I a_n= int_0^(pi/2) (1-cos2nx)/(1-cos2x)dx then a_1,a_2,a_3,………,a_n are in (A) A.P. only (B) G.P.only (C) H.P. only (D) A.P., G.P. and H.P.

If a^x=b^y=c^z and a,b,c are in G.P. show that 1/x,1/y,1/z are in A.P.

If the numbers p,q,r are in A.P. then m^(7p), m^(7q), m^(7r)(mgt0) are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

If the lines 2x - ay + 1 = 0, 3x – by + 1 = 0, 4x-cy+1 =0 concurrent, then a, b, c are in (A) A.P. (B) G.P. (C) H.P. (D) A.G.P

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