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Let alpha, beta are the two real roots o...

Let `alpha, beta` are the two real roots of equation `x ^(2) + px +q=0, p, q in R, q ne 0.` If the quadratic equation `g (x)=0` has two roots `alpha + (1)/(alpha), beta + (1)/(beta)` such that sum of roots is equal to product of roots, then the complete range of q is:

A

`[(1)/(3), 3]`

B

`((1)/(3), 3]`

C

`[(1()/(3), 3)`

D

`(-oo, (1)/(3))uu [3,oo)`

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The correct Answer is:
A
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