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Statement 1: If 27 a+9b+3c+d=0, then the...

Statement 1: If `27 a+9b+3c+d=0,` then the equation `f(x)=4a x^3+3b x^2+2c x+d=0` has at least one real root lying between `(0,3)dot` Statement 2: If `f(x)` is continuous in [a,b], derivable in `(a , b)` such that `f(a)=f(b),` then there exists at least one point `c in (a , b)` such that `f^(prime)(c)=0.`

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Statement 1 : If 27a+9b+3c+d=0 , then the equation f(x) =4ax^(3) + 3b^(2) +2cx + d=0 . Has at least one real root lying between (0,3). Statement 2 : If f(x) is continuous in [a,b], derivable in (a,b) such that f(a) =f(b) , then at least one point c in (a,b) such that f(c ) = 0.

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