1

JEE Advanced 2023 Paper 2 Online

MCQ (More than One Correct Answer)

+4

-2

Let $f:(0,1) \rightarrow \mathbb{R}$ be the function defined as $f(x)=[4 x]\left(x-\frac{1}{4}\right)^2\left(x-\frac{1}{2}\right)$, where $[x]$ denotes the greatest integer less than or equal to $x$. Then which of the following statements is(are) true?

2

JEE Advanced 2021 Paper 1 Online

MCQ (More than One Correct Answer)

+4

-2

Let f : R $$\to$$ R be defined by $$f(x) = {{{x^2} - 3x - 6} \over {{x^2} + 2x + 4}}$$

Then which of the following statements is (are) TRUE?

Then which of the following statements is (are) TRUE?

3

JEE Advanced 2020 Paper 2 Offline

MCQ (More than One Correct Answer)

+4

-2

Let f : R $$ \to $$ R and g : R $$ \to $$ R be functions

satisfying f(x + y) = f(x) + f(y) + f(x)f(y)

and f(x) = xg(x) for all x, y$$ \in $$R.

If $$\mathop {\lim }\limits_{x \to 0} g(x) = 1$$, then which of the following statements is/are TRUE?

satisfying f(x + y) = f(x) + f(y) + f(x)f(y)

and f(x) = xg(x) for all x, y$$ \in $$R.

If $$\mathop {\lim }\limits_{x \to 0} g(x) = 1$$, then which of the following statements is/are TRUE?

4

JEE Advanced 2020 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-2

Let the function f : R $$ \to $$ R be defined by f(x) = x

^{3}$$-$$ x^{2}+ (x $$-$$ 1)sin x and let g : R $$ \to $$ R be an arbitrary function. Let fg : R $$ \to $$ R be the product function defined by (fg)(x) = f(x)g(x). Then which of the following statements is/are TRUE?Questions Asked from Limits, Continuity and Differentiability (MCQ (Multiple Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

JEE Advanced 2024 Paper 2 Online (1)
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IIT-JEE 2012 Paper 2 Offline (1)
IIT-JEE 2011 Paper 1 Offline (1)
IIT-JEE 2011 Paper 2 Offline (1)
IIT-JEE 2009 Paper 1 Offline (1)
IIT-JEE 2008 Paper 1 Offline (1)

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