Statement I The equation `3x^(2)+4ax+b=0` has atleast one root in (o,1), if 3+4a=0.
Statement II `f(x)=3x^(2)+4x+b` is continuos and differentiable in (0,1)

The equation 3x^(2)+4ax+b=0 has atleast one root in (0, 1) if :

Find the condition if the equation 3x^(2)+4ax+b=0 has at least one root in (0,1).

Find the condition if the equation 3x^2+4a x+b=0 has at least one root in (0,1)dot

Find the condition if the equation 3x^2+4a x+b=0 has at least one root in (0,1)dot

Find the condition if the equation 3x^2+4a x+b=0 has at least one root in (0,1)dot

Find the condition if the equation 3x^2+4a x+b=0 has at least one root in (0,1)dot

Statement I :The function f(x)=(x^(3)+3x-4)(x^(2)+4x-5) has local extremum at x=1. Statement II :f(x) is continuos and differentiable and f'(1)=0.

Statement I :The function f(x)=(x^(3)+3x-4)(x^(2)+4x-5) has local extremum at x=1. Statement II :f(x) is continuos and differentiable and f'(1)=0.

Statement I :The function f(x)=(x^(3)+3x-4)(x^(2)+4x-5) has local extremum at x=1. Statement II :f(x) is continuos and differentiable and f'(1)=0.

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.