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If alpha & beta are the roots of equatio...

If `alpha & beta` are the roots of equation `x^2-sqrt3 x+sqrt6=0 and 1+1/alpha^2,1+1/beta^2` are the roots of the quadratic equation `x^2+ax+b=0` then roots of the quadratic equation `x^2-(a+b-2)x+(a+b+2)=0` are

A

Both non-real

B

Both real and positive

C

Both real and negative

D

Both real, one is positive and another is negative

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The correct Answer is:
C
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