If `3x^(2)-2ax+(a^(2)+2b^(2)+2c^(2))=2(ab+bc)`, then `a`, `b`, `c` can be in
A
`A.P.`
B
`G.P.`
C
`H.P.`
D
None of these
Text Solution
Verified by Experts
The correct Answer is:
A
`(a)` The given result can be written as `{x-(a-b)^(2)}+{x-(b-c)^(2)}+(x-c)^(2)=0` `impliesx=a-b` `x=b-c` `x=c` `a-b=b-c=c` From `a-b=b-c`, `2b=a+c` `:.a,b,c` can be in `A.P.`
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CENGAGE-PROGRESSION AND SERIES-ARCHIVES (MATRIX MATCH TYPE )
