jee-main

Papers (169)
2025
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2024
session1_01feb_shift1 4 session1_01feb_shift2 22 session1_27jan_shift1 28 session1_27jan_shift2 30 session1_29jan_shift1 30 session1_29jan_shift2 23 session1_30jan_shift1 17 session1_30jan_shift2 30 session1_31jan_shift1 16 session1_31jan_shift2 15 session2_04apr_shift1 4 session2_04apr_shift2 30 session2_05apr_shift1 4 session2_05apr_shift2 30 session2_06apr_shift1 22 session2_06apr_shift2 30 session2_08apr_shift1 30 session2_08apr_shift2 30 session2_09apr_shift1 5 session2_09apr_shift2 30
2023
session1_01feb_shift1 24 session1_01feb_shift2 3 session1_24jan_shift1 13 session1_24jan_shift2 12 session1_25jan_shift1 28 session1_25jan_shift2 27 session1_29jan_shift1 29 session1_29jan_shift2 28 session1_30jan_shift1 2 session1_30jan_shift2 29 session1_31jan_shift1 28 session1_31jan_shift2 17 session2_06apr_shift1 5 session2_06apr_shift2 17 session2_08apr_shift1 29 session2_08apr_shift2 14 session2_10apr_shift1 29 session2_10apr_shift2 15 session2_11apr_shift1 5 session2_11apr_shift2 4 session2_12apr_shift1 26 session2_13apr_shift1 25 session2_13apr_shift2 20 session2_15apr_shift1 20
2022
session1_24jun_shift1 20 session1_24jun_shift2 25 session1_25jun_shift1 14 session1_25jun_shift2 17 session1_26jun_shift1 26 session1_26jun_shift2 23 session1_27jun_shift1 4 session1_27jun_shift2 29 session1_28jun_shift1 13 session1_29jun_shift1 20 session1_29jun_shift2 5 session2_25jul_shift1 29 session2_25jul_shift2 22 session2_26jul_shift1 29 session2_26jul_shift2 24 session2_27jul_shift1 26 session2_27jul_shift2 29 session2_28jul_shift1 12 session2_28jul_shift2 29 session2_29jul_shift1 18 session2_29jul_shift2 17
2021
session1_24feb_shift1 10 session1_24feb_shift2 7 session1_25feb_shift1 29 session1_25feb_shift2 29 session1_26feb_shift2 17 session2_16mar_shift1 29 session2_16mar_shift2 15 session2_17mar_shift1 20 session2_17mar_shift2 24 session2_18mar_shift1 12 session2_18mar_shift2 11 session3_20jul_shift1 30 session3_20jul_shift2 29 session3_22jul_shift1 7 session3_25jul_shift1 2 session3_25jul_shift2 15 session3_27jul_shift1 3 session3_27jul_shift2 4 session4_01sep_shift2 11 session4_26aug_shift1 5 session4_26aug_shift2 2 session4_27aug_shift1 3 session4_27aug_shift2 28 session4_31aug_shift1 28 session4_31aug_shift2 4
2020
session1_07jan_shift1 26 session1_07jan_shift2 17 session1_08jan_shift1 5 session1_08jan_shift2 12 session1_09jan_shift1 22 session1_09jan_shift2 18 session2_02sep_shift1 19 session2_02sep_shift2 17 session2_03sep_shift1 21 session2_03sep_shift2 9 session2_04sep_shift1 10 session2_04sep_shift2 24 session2_05sep_shift1 23 session2_05sep_shift2 27 session2_06sep_shift1 13 session2_06sep_shift2 10
2019
session1_09jan_shift1 6 session1_09jan_shift2 29 session1_10jan_shift1 30 session1_10jan_shift2 12 session1_11jan_shift1 6 session1_11jan_shift2 5 session1_12jan_shift1 10 session1_12jan_shift2 20 session2_08apr_shift1 29 session2_08apr_shift2 29 session2_09apr_shift1 29 session2_09apr_shift2 29 session2_10apr_shift1 2 session2_10apr_shift2 3 session2_12apr_shift1 3 session2_12apr_shift2 9
2018
08apr 29 15apr 28 15apr_shift1 28 15apr_shift2 2 16apr 15
2017
02apr 28 08apr 29 09apr 30
2016
03apr 30 09apr 30 10apr 28
2015
04apr 29 10apr 30
2014
06apr 28 09apr 28 11apr 4 12apr 5 19apr 29
2013
07apr 29 09apr 14 22apr 5 23apr 14 25apr 13
2012
07may 18 12may 22 19may 13 26may 17 offline 30
2011
jee-main_2011.pdf 13
2010
jee-main_2010.pdf 1
2009
jee-main_2009.pdf 1
2008
jee-main_2008.pdf 1
2007
jee-main_2007.pdf 38
2005
jee-main_2005.pdf 19
2004
jee-main_2004.pdf 11
2003
jee-main_2003.pdf 9
2002
jee-main_2002.pdf 8
2021 session4_26aug_shift1

5 maths questions

Q61 Complex Numbers Argand & Loci Locus Identification from Modulus/Argument Equation View
The equation $\arg \left( \frac { z - 1 } { z + 1 } \right) = \frac { \pi } { 4 }$ represents a circle with:
(1) centre at $( 0,0 )$ and radius $\sqrt { 2 }$
(2) centre at $( 0,1 )$ and radius 2
(3) centre at $( 0 , - 1 )$ and radius $\sqrt { 2 }$
(4) centre at $( 0,1 )$ and radius $\sqrt { 2 }$
Q62 Sequences and Series Evaluation of a Finite or Infinite Sum View
The sum of the series $\frac { 1 } { x + 1 } + \frac { 2 } { x ^ { 2 } + 1 } + \frac { 2 ^ { 2 } } { x ^ { 4 } + 1 } + \ldots + \frac { 2 ^ { 100 } } { x ^ { 2 ^ { 100 } } + 1 }$ when $x = 2$ is:
(1) $1 - \frac { 2 ^ { 101 } } { 4 ^ { 101 } - 1 }$
(2) $1 + \frac { 2 ^ { 101 } } { 4 ^ { 101 } - 1 }$
(3) $1 + \frac { 2 ^ { 100 } } { 4 ^ { 101 } - 1 }$
(4) $1 - \frac { 2 ^ { 100 } } { 4 ^ { 201 } - 1 }$
Q63 Geometric Sequences and Series Sum of an Infinite Geometric Series (Direct Computation) View
If the sum of an infinite GP, $a , a r , a r ^ { 2 } , a r ^ { 3 } , \ldots$ is 15 and the sum of the squares of its each term is 150 , then the sum of $a r ^ { 2 } , a r ^ { 4 } , a r ^ { 6 } , \ldots$ is:
(1) $\frac { 25 } { 2 }$
(2) $\frac { 9 } { 2 }$
(3) $\frac { 1 } { 2 }$
(4) $\frac { 5 } { 2 }$
Q64 Binomial Theorem (positive integer n) Evaluate a Summation Involving Binomial Coefficients View
If ${ } ^ { 20 } \mathrm { C } _ { \mathrm { r } }$ is the co-efficient of $x ^ { \mathrm { r } }$ in the expansion of $( 1 + x ) ^ { 20 }$, then the value of $\sum _ { \mathrm { r } = 0 } ^ { 20 } \mathrm { r } ^ { 2 } \left( { } ^ { 20 } \mathrm { C } _ { \mathrm { r } } \right)$ is equal to:
(1) $420 \times 2 ^ { 18 }$
(2) $380 \times 2 ^ { 18 }$
(3) $380 \times 2^{19}$
(4) $420 \times 2 ^ { 19 }$
Q65 Trigonometric equations in context View
The sum of solutions of the equation $\frac { \cos x } { 1 + \sin x } = | \tan 2 x | , x \in \left( - \frac { \pi } { 2 } , \frac { \pi } { 2 } \right) - \left\{ - \frac { \pi } { 4 } , \frac { \pi } { 4 } \right\}$