question_answer

If a, b, c, d and p are distinct real numbers such that \[({{a}^{2}}+{{b}^{2}}+{{c}^{2}}){{p}^{2}}-2(ab+bc+cd)p+({{b}^{2}}+{{c}^{2}}+{{d}^{2}})\le 0\]then a, b, c, d:

A)  Are in A.P.                   

B)  Are in G.P.

C)  Are in H.P.                  

D)  Both (A) and (B)

E)  None of these