Question
Mathematics Question on Arithmetic Progression
If 3x2−2ax+(a2+2b2+2c2)=2(ab+bc), then a,b,c can be in
A
A.P
B
G.P
C
H.P
D
none of these
Answer
A.P
Explanation
Solution
The given result can be expressed as follows :
\left\\{x-(a-b)^2\right\\}+\left\\{x-(b-c)^2\right\\}+(x-c)^2=0
x=a−b,x=b−c,x=c
a−b=b−c=c
From a−b=b−c, 2b=a+c
Therefore, a,b,c can be in A.P.
So, the correct option is (A) : A.P.