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?

Options

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`