Question
Question: If a, b , c, d and p are distinct real numbers such that (a<sup>2</sup>+b<sup>2</sup>+c<sup>2</sup>)...
If a, b , c, d and p are distinct real numbers such that (a2+b2+c2)p2 – 2(ab +bc +cd ) p + (b2 +c2 +d2) ≤ 0 , then a, b, c, d are in
A
A.P.
B
G.P.
C
H. P.
D
None of these
Answer
G.P.
Explanation
Solution
The given inequality can be re-written as
(ap – b)2 + (bp – c)2 +( cp – d)2 ≤ 0
⇒ ap – b = bp – c = cp – d = 0 ⇒ 
⇒ a, b, c, d are in G. P.