If `a, b, c, d >0, x in R` and `(a^2+b^2+c^2)x^2-2(ab+bc+cd)x+b^2+c^2+d^2<=0` then, `|[1,1,loga],[1,2,logb],[1,3,logc]|=`

If a,b,c,d gt 0 , x in R and (a^(2)+b^(2)+c^(2))x^(2)-2(ab+bc+cd)x+b^(2)+c^(2)+d^(2) le 0 , then |{:(33,14,loga),(65,27,logb),(97,40,logc):}|=

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,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,c,d be in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2)=(ab+bc+cd)^2

If p^(2) (a^(2) +b^(2) +c^(2)) -2p (ab +bc +cd) +(b^(2) +c^(2) +d^(2)) le 0 then which of the following statement is true?

If a,b,c and d are in G.P.show that (a^(2)+b^(2)+c^(2))(b^(2)+c^(2)+d^(2))=(ab+bc+cd)^(2)

if a,b, c, d and p are distinct real number such that (a^(2) + b^(2) + c^(2))p^(2) - 2p (ab + bc + cd) + (b^(2) + c^(2) + d^(2)) lt 0 then a, b, c, d are in