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If `alpha and beta` are the roots of the equation `3x^(2) + 2x + 1 = 0`. Then the equation whose roots are `alpha + beta^(-1) and beta + alpha^(-1)` is :

A

`3x^(2) + 8x + 16 = 0`

B

`3x^(2) - 8x- 16 =0`

C

`3x^(2) +8x - 16= 0`

D

`x^(2) + 8x + 16 = 0`

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The correct Answer is:
A
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