1

JEE Advanced 2022 Paper 2 Online

MCQ (More than One Correct Answer)

+4

-2

Let

$$ \alpha=\sum\limits_{k = 1}^\infty {{{\sin }^{2k}}\left( {{\pi \over 6}} \right)} $$

Let $g:[0,1] \rightarrow \mathbb{R}$ be the function defined by

$$ g(x)=2^{\alpha x}+2^{\alpha(1-x)} . $$

Then, which of the following statements is/are TRUE ?

$$ \alpha=\sum\limits_{k = 1}^\infty {{{\sin }^{2k}}\left( {{\pi \over 6}} \right)} $$

Let $g:[0,1] \rightarrow \mathbb{R}$ be the function defined by

$$ g(x)=2^{\alpha x}+2^{\alpha(1-x)} . $$

Then, which of the following statements is/are TRUE ?

2

JEE Advanced 2019 Paper 2 Offline

MCQ (More than One Correct Answer)

+4

-1

Let f : R $$ \to $$ R be given by

$$f(x) = (x - 1)(x - 2)(x - 5)$$. Define

$$F(x) = \int\limits_0^x {f(t)dt} $$, x > 0

Then which of the following options is/are correct?

$$f(x) = (x - 1)(x - 2)(x - 5)$$. Define

$$F(x) = \int\limits_0^x {f(t)dt} $$, x > 0

Then which of the following options is/are correct?

3

JEE Advanced 2019 Paper 2 Offline

MCQ (More than One Correct Answer)

+4

-1

Let, $$f(x) = {{\sin \pi x} \over {{x^2}}}$$, x > 0

Let x

Then which of the following options is/are correct?

Let x

_{1}< x_{2}< x_{3}< ... < x_{n}< ... be all the points of local maximum of f and y_{1}< y_{2}< y_{3}< ... < y_{n}< ... be all the points of local minimum of f.Then which of the following options is/are correct?

4

JEE Advanced 2017 Paper 2 Offline

MCQ (More than One Correct Answer)

+4

-2

f : R $$ \to $$ R is a differentiable function such that f'(x) > 2f(x) for all x$$ \in $$R, and f(0) = 1 then

Questions Asked from Application of Derivatives (MCQ (Multiple Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

JEE Advanced 2022 Paper 2 Online (1)
JEE Advanced 2019 Paper 2 Offline (2)
JEE Advanced 2017 Paper 2 Offline (2)
JEE Advanced 2016 Paper 2 Offline (1)
JEE Advanced 2015 Paper 2 Offline (1)
JEE Advanced 2013 Paper 2 Offline (1)
JEE Advanced 2013 Paper 1 Offline (1)
IIT-JEE 2012 Paper 2 Offline (1)
IIT-JEE 2009 Paper 2 Offline (1)
IIT-JEE 2006 (2)
IIT-JEE 1999 (1)
IIT-JEE 1998 (1)
IIT-JEE 1993 (1)
IIT-JEE 1986 (1)

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