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 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 (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

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

If a,b,c,d are distinct positive then a^n/b^ngtc^n/d^n for all epsilon N if a,b,c,d are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

If a,b,c,d, x are real and the roots of equation (a^2+b^2+c^2)x^2-2(ab+bc+cd)x+(b^2+c^2+d^2)=0 are real and equal then a,b,c,d are in (A) A.P (B) G.P. (C) H.P. (D) none of these

If a,b, and c are in G.P.then a+b,2b, and b+c are in a.A.P b.G.P.c. H.P.d.none of these

If cos2B=(cos(A+C))/(cos(A-C)), then tan A,tan B,tan C are in (a)A.P.(b) G.P.(c) H.P.(d) none of these

If a,b,c,d,e,x are real and (a^2+b^2+c^2+d^2)x^2-2(ab+bc+cd+de)x+(b^2+c^2+d^2+e^2)le0 then a,b,c,d,e are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

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 cos A+cos B+2cos C=2 then the sides of the A B C are in A.P. (b) G.P. (c) H.P. (d) none