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If one common root of the equation 4x^2-...

If one common root of the equation `4x^2- 2 sqrt5 x +1=0` and `ax^2 + bx + 1=0` (a, b are rational numbers) is `alpha` and other root of `ax^2+ bx + 1` is`beta` (`alpha lt beta`) then value of `(1-2alpha^2)^2+(1-beta^2)` is equal to (A)`1` (B)`2` (C)`0` (D)`4`

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