JEE Math Practice Question

The function $$f(x) = {x^3} - 6{x^2} + ax + b$$ is such that $$f(2) = f(4) = 0$$. Consider two statements : Statement 1 : there exists x1, x2 $$\in$$(2, 4), x1 < x2, such that f'(x1) = $$-$$1 and f'(x2) = 0. Statement 2 : there exists x3, x4 $$\in$$ (2, 4), x3 < x4, such that f is decreasing in (2, x4), increasing in (x4, 4) and $$2f'({x_3}) = \sqrt 3 f({x_4})$$. Then

1. A.both Statement 1 and Statement 2 are true
2. B.Statement 1 is false and Statement 2 is true
3. C.both Statement 1 and Statement 2 are false
4. D.Statement 1 is true and Statement 2 is false