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If alpha, beta are the roots of the equa...

If `alpha, beta` are the roots of the equation `x^(2)-2x-a^(2)+1=0` and `gamma, delta` are the roots of the equation
`x^(2)-2(a+1)x+a(a-1)=0` such that `alpha, beta epsilonn (gamma, delta)` find the value of `a`.

A

`(- 1//4, 1)`

B

`(-1,1)`

C

`(0,infty)`

D

`( sqrt(2) , infty)`

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The correct Answer is:
A
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