[" 18.If "a,b,c,d,e,xquad " are real and "(a^(2)+b^(2)+c^(2))],[x^(2)-2(ab+bc+cd+de)x+(b^(2)+c^(2)+d^(2)+e^(2))<=0],[" then "a,b,c,d,e" are in : "]

If a,b,c,d and p are different real numbers such that (a^(2)+b^(2)+c^(2))p^(2)-2(ab+bc+cd)p+(b^(2)+c^(2)+d^(2))<=0 ,then show that a,b,c and d are in G.P.

If a,b,c,d and p are distinct real numbers such that (a^(2)+b^(2)+c^(2))p^(2)-2(ab+bc+cd)p+(b^(2)+c^(2)+d^(2))<=0 then prove that a,b,c,d are in G.P.

If a,b,c,d are such unequal real numbers that (a^(2)+b^(2)+c^(2))p^(2)-2 (ab+bc+cd) p+ (b^(2)+c^(2)+d^(2)) le 0 then a,b,c, d are in -

If a,b,c,d and p are different real numbers such that: (a^(2)+b^(2)+c^(2))p^(I2)-2(ab+bc+cd)p+(b^(2)+c^(2)+d^(2))<=0 ,then show that a,b,c and d are in G.P.

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,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 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 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 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 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):}|=