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The function \(f(x)=x^3-6 x^2+a x+b\) is such that \(f(2)=f(4)=0\). Assertion (A): there exists \(x_1, x_2 \in(2,4), x_1…

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The function \(f(x)=x^3-6 x^2+a x+b\) is such that \(f(2)=f(4)=0\).
Assertion (A): there exists \(x_1, x_2 \in(2,4), x_1Reason (R): there exists \(x_3, x_4 \in(2,4), x_3

[JEE Main 2021, 1 Sep (Shift 2)]

a

both A and R are true

b

A is true and R is false

c

A is false and R is true

d

both A and R are false

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