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If the range of function f(x) = (pisqrt2...

If the range of function `f(x) = (pisqrt2 + cos^-1 alpha) x^2 + 2 (cos^-1beta) x + pisqrt2 - cos^-1alpha ` is `[0,oo)` then find the value of `|alpha-beta| +2 alphabeta+1.`

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