Let f: R \to R be a function defined by f(x)=(x-3)^{n_1}(x-5)^{n_2}, n_1, n_2 \in N. Then, which of the following is NOT true? [29-Jun-2022-Shift-2]

Correct Answer is : For n1=3,n2=5, there exists α∈(3,5) where f attains local maxima.

For {\n}_1=3, {\n}_2=4, there exists \alpha \in(3,5) where {\f} attains local maxima.

For {\n}_1=4, {\n}_2=3, there exists \alpha \in(3,5) where {\f} attains local minima.

For {\n}_1=3, {\n}_2=5, there exists \alpha \in(3,5) where {\f} attains local maxima.

For {\n}_1=4, {\n}_2=6, there exists \alpha \in(3,5) where {\f} attains local maxima.

JEE Main 29 June 2022 Shift 2 Solved Paper

Section: Mathematics

Question : 6 of 90

Marks: +1, -0

Let f:R→R be a function defined by f(x)=(x−3)n1(x−5)n2,n1,n2∈N. Then, which of the following is NOT true?

[29-Jun-2022-Shift-2]

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