If 3x^(2)-2ax+(a^(2)+2b^(2)+2c^(2))=2(ab...

If `3x^(2)-2ax+(a^(2)+2b^(2)+2c^(2))=2(ab+bc)`, then `a`, `b`, `c` can be in

`A.P.`

`G.P.`

`H.P.`

None of these

Text Solution

Verified by Experts

The correct Answer is:

`(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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