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If the sum of the roots of the equation ...

If the sum of the roots of the equation a `x^(2)+b x+c=0` is equal to the sum of the squares of their reciprocals, then

A

`c^(2) b', a^(2) c, b^(2)a are in A.P

B

`c^(2) b, a^(2) c, b^(2)` a are in AP

C

`(b)/(c), (a)/(b), (c)/(a)` are in G.P.

D

`(a)/(b), (b)/(c), (c)/(a)` are in G.P.

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The correct Answer is:
A
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