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If alpha, beta are the roots of a x^(2)+...

If `alpha, beta` are the roots of `a x^(2)+b x+c=0` the equation whose roots are `(alpha+beta)^(-1)` , `alpha^(-1)+ beta^(-1)` is

A

1: `(a c) x^(2)+(a+c) x+b c=0`

B

2: `(b c) x^(2)+(b^(2)+a c) x+a b=0`

C

3: `(a b) x^(2)+(c^(2)+a b) x+b c=0`

D

4: `(c a) x^(2)+(b^(2)+a c) x+a b=0`

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The correct Answer is:
B
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