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If F :(- oo, -1] rightarrow (a, b] is de...

If `F :(- oo, -1] rightarrow (a, b]` is defined as `f(x) = e^(x^3-3x+1)` such that F is both onel-one and onto thenthe distance from a point P(2a + 4, b + 2) to curve `x + ye^(-3)-4 = 0` is

A

`2sqrt(1+e^(6))`

B

`sqrt(1+e^(6))`

C

`4sqrt(1+e^(6))`

D

`3sqrt(1+e^(6))`

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