If 27a+9b+3c+d=0, then the equation 4ax^...

If `27a+9b+3c+d=0`, then the equation `4ax^3+3bx^2+2cx+d=0` has at least one real root lying between

a)0 and 1

b)1 and 3

c)0 and 3

d)none of these

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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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