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If sum of the roots of ax^(2)+bx+c=0 is ...

If sum of the roots of `ax^(2)+bx+c=0` is equal to the sum of the squares of their reciprocals then show that `2a^(2)c=ab^(2)+bc^(2)`.

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 G.P.`

C

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

D

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

Text Solution

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The correct Answer is:
A
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