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If the sum of the roots of ax^(2) + bx ...

If the sum of the roots of `ax^(2) + bx + c = 0` is equal to the sum of the squares of their reciprocals, then which one of the following relations is correct?

A

`ab^(2)+bc^(2) =2a^(2)c`

B

`ac^(2)+bc^(2)=2b^(2)a`

C

`ab^(2)+bc^(2)=a^(2)c`

D

`a^(2)+b^(2)+c^(2)=1`

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