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 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,b,c are in A.P. as well as in G.P. then

Let a,b,c be positive real numers such that bx^2+(sqrt(((a+c)^2+4b^2))x +(a+c),=0, AA x epsilon R, then a,b,c are in (A) G.P. (B) A.P. (C) H.P. (D) none of these

If (b+c)/(a+d)= (bc)/(ad)=3 ((b-c)/(a-d)) then a,b,c,d are in (A) H.P. (B) G.P. (C) A.P. (D) none of these

If a,b,c are unequal numbers in A.P. such that a,b-c,c-a are in G.P. then

Suppose a,b,c are distinct positive real numbers such that a,2b,3c are in A.P. and a,b,c are in G.P. The common ratio of G.P. is

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.

In triangle ABC, if cosA+2cosB+cosC=2,t h e na ,b ,c are in (A) A.P. (B) G.P. (C) H.P. (D) none of these