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

If a,b,c,d and p are distinct non -zero real numbers such 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 :

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) le 0 , then show that a, b, c and d are in GP.

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) le 0 , then show that a, b, c and d are in GP.

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) le 0 , then show that a, b, c and d are in GP.

Let a,b,c,d and p be any non zero 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 :

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 and p are distinct real numbers such that (1987,2M)(a^(2)+b^(2)+c^(2))p^(2)-2(ab+bc+cd)P+(b^(2)+c^(2)+d^(2))>=0, then a,b,c,d are in AP(b) are in GP are in HP(d) satisfy ab=cd

If a, b, d and p are distinct non - zero real numbers such that (a^2+b^2 + c^2) p^2 - 2(ab+bc+cd)p+(b^2 + c^2 +d^2) le 0 then n. Prove that a, b, c, d are in G. P and ad = bc