1

JEE Main 2022 (Online) 29th July Evening Shift

MCQ (Single Correct Answer)

+4

-1

The domain of the function $$f(x)=\sin ^{-1}\left(\frac{x^{2}-3 x+2}{x^{2}+2 x+7}\right)$$ is:

2

JEE Main 2022 (Online) 28th July Evening Shift

MCQ (Single Correct Answer)

+4

-1

$$ \text { Let } f(x)=a x^{2}+b x+c \text { be such that } f(1)=3, f(-2)=\lambda \text { and } $$ $$f(3)=4$$. If $$f(0)+f(1)+f(-2)+f(3)=14$$, then $$\lambda$$ is equal to :

3

JEE Main 2022 (Online) 28th July Evening Shift

MCQ (Single Correct Answer)

+4

-1

The function $$f(x)=x \mathrm{e}^{x(1-x)}, x \in \mathbb{R}$$, is :

4

JEE Main 2022 (Online) 28th July Morning Shift

MCQ (Single Correct Answer)

+4

-1

Considering only the principal values of the inverse trigonometric functions, the domain of the function $$f(x)=\cos ^{-1}\left(\frac{x^{2}-4 x+2}{x^{2}+3}\right)$$ is :

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