1

JEE Main 2023 (Online) 29th January Evening Shift

MCQ (Single Correct Answer)

+4

-1

Consider a function $$f:\mathbb{N}\to\mathbb{R}$$, satisfying $$f(1)+2f(2)+3f(3)+....+xf(x)=x(x+1)f(x);x\ge2$$ with $$f(1)=1$$. Then $$\frac{1}{f(2022)}+\frac{1}{f(2028)}$$ is equal to

2

JEE Main 2023 (Online) 29th January Morning Shift

MCQ (Single Correct Answer)

+4

-1

The domain of $$f(x) = {{{{\log }_{(x + 1)}}(x - 2)} \over {{e^{2{{\log }_e}x}} - (2x + 3)}},x \in \mathbb{R}$$ is

3

JEE Main 2023 (Online) 29th January Morning Shift

MCQ (Single Correct Answer)

+4

-1

Let $$f:R \to R$$ be a function such that $$f(x) = {{{x^2} + 2x + 1} \over {{x^2} + 1}}$$. Then

4

JEE Main 2023 (Online) 25th January Evening Shift

MCQ (Single Correct Answer)

+4

-1

The number of functions

$$f:\{ 1,2,3,4\} \to \{ a \in Z|a| \le 8\} $$

satisfying $$f(n) + {1 \over n}f(n + 1) = 1,\forall n \in \{ 1,2,3\} $$ is

Questions Asked from Functions (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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