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Let f(x)= 4x^2-4ax+a^2-2a+2 be a quadrat...

Let `f(x)= 4x^2-4ax+a^2-2a+2` be a quadratic polynomial in x , `a in R`. If `y = f(x)` takes minimum value `3` on x ∈ [0, 2] and x-coordinate of vertex is greater than ``2, then value of a is
(a)`5-sqrt(10)`
b. `10-sqrt(5)`
c. `5+sqrt(10)`
d. `15/(5+sqrt(10))`

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