1
JEE Advanced 2024 Paper 2 Online
MCQ (More than One Correct Answer)
+4
-2
Let $S$ be the set of all $(\alpha, \beta) \in \mathbb{R} \times \mathbb{R}$ such that
$$ \lim\limits_{x \rightarrow \infty} \frac{\sin \left(x^2\right)\left(\log _e x\right)^\alpha \sin \left(\frac{1}{x^2}\right)}{x^{\alpha \beta}\left(\log _e(1+x)\right)^\beta}=0 . $$
Then which of the following is (are) correct?
2
JEE Advanced 2024 Paper 2 Online
MCQ (More than One Correct Answer)
+4
-2
A straight line drawn from the point $P(1,3,2)$, parallel to the line $\frac{x-2}{1}=\frac{y-4}{2}=\frac{z-6}{1}$, intersects the plane $L_1: x-y+3 z=6$ at the point $Q$. Another straight line which passes through $Q$ and is perpendicular to the plane $L_1$ intersects the plane $L_2: 2 x-y+z=-4$ at the point $R$. Then which of the following statements is (are) TRUE?
3
JEE Advanced 2024 Paper 2 Online
MCQ (More than One Correct Answer)
+4
-2
Let $A_1, B_1, C_1$ be three points in the $x y$-plane. Suppose that the lines $A_1 C_1$ and $B_1 C_1$ are tangents to the curve $y^2=8 x$ at $A_1$ and $B_1$, respectively. If $O=(0,0)$ and $C_1=(-4,0)$, then which of the following statements is (are) TRUE?
4
JEE Advanced 2024 Paper 2 Online
Numerical
+4
-0
Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a function such that $f(x+y)=f(x)+f(y)$ for all $x, y \in \mathbb{R}$, and $g: \mathbb{R} \rightarrow(0, \infty)$ be a function such that $g(x+y)=g(x) g(y)$ for all $x, y \in \mathbb{R}$. If $f\left(\frac{-3}{5}\right)=12$ and $g\left(\frac{-1}{3}\right)=2$, then the value of $\left(f\left(\frac{1}{4}\right)+g(-2)-8\right) g(0)$ is _________.
Your input ____
Paper analysis
Total Questions
Chemistry
17
Mathematics
17
Physics
17
More papers of JEE Advanced
JEE Advanced 2024 Paper 2 Online
JEE Advanced 2024 Paper 1 Online
JEE Advanced 2023 Paper 2 Online
JEE Advanced 2023 Paper 1 Online
JEE Advanced 2022 Paper 2 Online
JEE Advanced 2022 Paper 1 Online
JEE Advanced 2021 Paper 2 Online
JEE Advanced 2021 Paper 1 Online
JEE Advanced 2020 Paper 2 Offline
JEE Advanced 2020 Paper 1 Offline
JEE Advanced 2019 Paper 2 Offline
JEE Advanced 2019 Paper 1 Offline
JEE Advanced 2018 Paper 2 Offline
JEE Advanced 2018 Paper 1 Offline
JEE Advanced 2017 Paper 2 Offline
JEE Advanced 2017 Paper 1 Offline
JEE Advanced 2016 Paper 2 Offline
JEE Advanced 2016 Paper 1 Offline
JEE Advanced 2015 Paper 2 Offline
JEE Advanced 2015 Paper 1 Offline
JEE Advanced 2014 Paper 2 Offline
JEE Advanced 2014 Paper 1 Offline
JEE Advanced 2013 Paper 2 Offline
JEE Advanced 2013 Paper 1 Offline
IIT-JEE 2012 Paper 2 Offline
IIT-JEE 2012 Paper 1 Offline
IIT-JEE 2011 Paper 1 Offline
IIT-JEE 2011 Paper 2 Offline
IIT-JEE 2010 Paper 1 Offline
IIT-JEE 2010 Paper 2 Offline
IIT-JEE 2009 Paper 2 Offline
IIT-JEE 2009 Paper 1 Offline
IIT-JEE 2008 Paper 2 Offline
IIT-JEE 2008 Paper 1 Offline
IIT-JEE 2007
IIT-JEE 2007 Paper 2 Offline
IIT-JEE 2006 Screening
IIT-JEE 2006
IIT-JEE 2005 Screening
IIT-JEE 2005
IIT-JEE 2004 Screening
IIT-JEE 2004
IIT-JEE 2003
IIT-JEE 2003 Screening
IIT-JEE 2002 Screening
IIT-JEE 2002
IIT-JEE 2001
IIT-JEE 2001 Screening
IIT-JEE 2000
IIT-JEE 2000 Screening
IIT-JEE 1999
IIT-JEE 1999 Screening
IIT-JEE 1998
IIT-JEE 1998 Screening
IIT-JEE 1997
IIT-JEE 1996
IIT-JEE 1995
IIT-JEE 1995 Screening
IIT-JEE 1994
IIT-JEE 1993
IIT-JEE 1992
IIT-JEE 1991
IIT-JEE 1990
IIT-JEE 1989
IIT-JEE 1988
IIT-JEE 1987
IIT-JEE 1986
IIT-JEE 1985
IIT-JEE 1984
IIT-JEE 1983
IIT-JEE 1982
IIT-JEE 1981
IIT-JEE 1980
IIT-JEE 1979
IIT-JEE 1978
JEE Advanced
Papers
2020
2019
2018
2017
2016
1997
1996
1994
1993
1992
1991
1990
1989
1988
1987
1986
1985
1984
1983
1982
1981
1980
1979
1978