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JEEMAIN PAST PAPERS
JEEMAIN PAST PAPERS
1998
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The general solution of $\tan^2 \theta = 3$ is :
jeemain
math
past papers
1999
107
answered
2 days
ago
by
vinnu636
1
answer
Which of the following is correct for acid buffer ? [ salt = S, acid = A ] :
jeemain
chemistry
past papers
2000
87
answered
Mar 28
by
annapureddy.srilekhareddy1435
1
answer
A Young's double slit experiment uses a monochromatic source. The shape of the interference fringes formed on a screen is :
jeemain
physics
past papers
2005
37
answered
Mar 28
by
premkamat156209
1
answer
In forced oscillation of a particle the amplitude is maximum frequency $\omega_1$ of the force, while the energy is maximum for a frequency $\omega_2$ of the force, then
jeemain
physics
past papers
2004
180
answered
Mar 27
by
ganeshkiranmai
1
answer
Permanent hardness in water cannot be cured by :
jeemain
chemistry
past papers
2015
43
answered
Mar 24
by
sangethamadhu82
1
answer
......... process is used for the removal of hardness of water :
jeemain
chemistry
past papers
2001
53
answered
Mar 24
by
sangethamadhu82
1
answer
Which of the following is not an assumption of the kinetic theory of gases ?
jeemain
chemistry
past papers
2015
32
answered
Mar 10
by
4216212
1
answer
The reason for double helical structure of DNA is operation of :
jeemain
chemistry
past papers
2003
143
answered
Mar 4
by
nilabhshivam333
1
answer
In a spectrometer experiment three prisms $A,\;B$ and $C$ with same angle of prism but of different materials of refractive indices $\mu_A = 1.33, \; \mu_B = 1.55, \; \mu_C = 1.44$ are used. The corresponding angles of minimum deviation $D_A,\;D_B,\;D_C$ measured will be such that :
jeemain
physics
past papers
1999
35
answered
Mar 1
by
kishore.mulpuri
1
answer
The foci of the ellipse $\frac{x^2}{16} + \frac{y^2}{b^2} = 1$ and the hyperbola $\frac{x^2}{144} - \frac{y^2}{81} = \frac{1}{25}$ coincide. Then the value of $b^2$ is :
jeemain
math
past papers
2003
202
answered
Feb 27
by
24si0248
1
answer
Elimination of bromine from 2-bromobutane results in the formation of :
jeemain
chemistry
past papers
2005
138
answered
Feb 22
by
aliochemist
1
answer
Statement 1 : The sum of the series $ 1 + ( 1 + 2+4) + (4+6+9) + (9+12+16) + .......+ (361 + 380+400)$ is $8000$. <br> Statement 2 : $\displaystyle\sum_{k=1}^{n} (k^3 - ( k-1)^3 ) = n^3$ for any natural number $n$.
jeemain
math
past papers
2012
4
answered
Feb 12
by
anjanachandran3g
1
answer
Let $f(x) = (x+1)^2 - 1, x \geq -1$ <br> Statement -1 : The set $\{ x : f(x) = f^{-1} (x) \} = \{0, -1\}$ <br> Statement-2: f is a bijection.
jeemain
math
past papers
2009
86
answered
Feb 11
by
bookinggo1
1
answer
Statement -1: The variance of first n even natural numbers is $\frac{n^2-1}{4}$ <br> Statement -2 :The sum of first $n$ natural numbers is $\frac{n(n+1)}{2}$ and the sum of squares of first $n$ natural numbers is $\frac{n(n+1)(2n+1)}{6}$
jeemain
math
past papers
2009
88
answered
Feb 6
by
laxmikntpanda25
1
answer
$\begin{align*} \displaystyle{\lim_{n \to \infty} \begin{pmatrix} \frac{(n+1) (n+2) ...3n}{n^{2n}} \end{pmatrix} }^{1/n} \end{align*}$ is equal to :
jeemain
math
past papers
2016
75
answered
Feb 6
by
priyanka.clay6
1
answer
The integral $\begin{align*} \int \frac{2x^{12} + 5x^9}{(x^5 + x^3 + 1)^3} dx \end{align*}$ is equal to : <br> where C is an arbitrary constant.
jeemain
math
past papers
2016
74
answered
Feb 6
by
priyanka.clay6
1
answer
A wire of length 2 units is cut into two parts which are bent respectively to form a square of side $=x$ units and a circle of radius $=r$ units. If the sum of the areas of the square and the circle so formed is minimum, then :
jeemain
math
past papers
2016
73
answered
Feb 5
by
priyanka.clay6
1
answer
Consider <br> $f(x) = \tan^{-1} \begin{pmatrix} \sqrt{\frac{1+\sin x}{1 - \sin x}} \end{pmatrix}, x \in (0, \frac{\pi}{2})$. A normal to $y = f(x)$ at $x = \frac{\pi}{6}$ also passes through the point :
jeemain
math
past papers
2016
72
answered
Feb 5
by
priyanka.clay6
2
answers
For $x \in R, \; f(x) = | \log 2 - \sin x | $ and $g(x) = f( f(x))$, then :
jeemain
math
past papers
2016
71
answered
Feb 5
by
priyanka.clay6
1
answer
The events A and B have probabilities 0.25 and 0.50 respectively. The probability that both A and B occur simultaneously is 0.14, then the probability that neither A nor B occurs, is :
jeemain
math
past papers
2001
109
answered
Feb 4
by
smitha.ds
1
answer
Let $p = \displaystyle{\lim_{x \to 0^+} (1 + \tan^2 \sqrt{x} )^{1/2x} }$ then $\log p$ is equal to :
jeemain
math
past papers
2016
70
answered
Jan 30
by
priyanka.clay6
1
answer
If the sum of the first ten terms of the series $(1 + \frac{3}{5})^2 + ( 2 + \frac{2}{5})^2 + (3 + \frac{1}{5})^2 + 4^2 + (4 + \frac{4}{5})^2......,$ is $\frac{16}{5} m$, then $m$ is equal to :
jeemain
math
past papers
2016
69
answered
Jan 30
by
priyanka.clay6
1
answer
If the $2^{nd},\; 5^{th}$ and $9^{th}$ terms of a non-constant A.P. are in G.P., then the common ratio of this G.P. is :
jeemain
math
past papers
2016
68
answered
Jan 30
by
priyanka.clay6
1
answer
If the number of terms in the expansion of $\begin{pmatrix} 1 - \frac{2}{x} + \frac{4}{x^2} \end{pmatrix}^n, x \neq 0$ is 28, then the sum of the coefficients of all the terms in this expansion, is :
jeemain
math
past papers
2016
67
answered
Jan 30
by
priyanka.clay6
1
answer
If all the words (with or without meaning) having five letters, formed using the letters of the word SMALL and arranged as in a dictionary; then the position of the word SMALL is :
jeemain
math
past papers
2016
66
answered
Jan 30
by
priyanka.clay6
1
answer
The system of linear equations <br> $ x + \lambda y - z = 0 $ <br> $\lambda x - y - z =0$ <br> $x + y - \lambda z = 0$ <br> has a non-trivial solution for :
jeemain
math
past papers
2016
65
answered
Jan 30
by
priyanka.clay6
1
answer
If $A= \begin{bmatrix} 5a & -b \\ 3 & 2 \end{bmatrix}$ and $A \; adj \; A = A A^T$, then $5a + b$ is equal to :
jeemain
math
past papers
2016
64
answered
Jan 30
by
priyanka.clay6
1
answer
The sum of all real values of $x$ satisfying the equation <br> $(x^2 - 5x + 5)^{x^2 + 4x - 60} = 1$ is :
jeemain
math
past papers
2016
63
answered
Jan 30
by
priyanka.clay6
1
answer
A value of $\theta$ for which $\frac{2 + 3 i \sin \theta}{1 - 2 i \sin \theta}$ is purely imaginary, is :
jeemain
math
past papers
2016
62
answered
Jan 30
by
priyanka.clay6
1
answer
If $f(x) + 2f (\frac{1}{x}) = 3x, \; x \neq 0$, and $S = \{ x \in R : f(x) = f(-x) \}$; then $S$ :
jeemain
math
past papers
2016
61
answered
Jan 29
by
priyanka.clay6
1
answer
The integral $\begin{align*} \int^{\frac{3\pi}{4}}_{\frac{\pi}{4}} \frac{dx}{1+ \cos x} \end{align*}$ is equal to
jeemain
math
past papers
2017
30
answered
Jan 28
by
priyanka.clay6
1
answer
If, for a positive integer n, the quadratic equation, $x(x + 1) + (x + 1)(x + 2) +.....+ (x + \overline{n – 1})(x + n) = 10n$ has two consecutive integral solutions, then n is equal to
jeemain
math
past papers
2017
29
answered
Jan 28
by
priyanka.clay6
1
answer
The radius of a circle, having minimum area, which touches the curve $y = 4 - x^2$ and the lines, $y = |x|$ is
jeemain
math
past papers
2017
28
answered
Jan 27
by
priyanka.clay6
1
answer
Let $a, \; b, \; c \in R$. If $f(x) = ax^2 + bx + c$ is such that $a + b + c = 3$ and $f(x+y) = f(x) + f(y) + xy, \forall x, y \in R$, then $ \displaystyle\sum_{n=1}^{10} f(n)$ is equal to
jeemain
math
past papers
2017
27
answered
Jan 26
by
priyanka.clay6
1
answer
A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one-by-one, with replacement, then the variance of the number of green balls drawn is
jeemain
math
past papers
2017
26
answered
Jan 25
by
priyanka.clay6
1
answer
The value of $(^{21} C_1 - ^{10}C_1) + (^{21}C_2 - ^{19}C_2) + (^{21}C_3 -^{10}C_3) + (^{21}C_4 - ^{10}C_4) +...+(^{21}C_{10} - ^{10}C_{10})$ is
jeemain
math
past papers
2017
25
answered
Jan 25
by
priyanka.clay6
1
answer
A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and Y have no common friends. Then the total number of ways in which X and Y together can throw a party inviting 3 ladies and 3 men, so that 3 friends of each of X and Y are in this party, is
jeemain
math
past papers
2017
24
answered
Jan 25
by
priyanka.clay6
1
answer
It two different numbers are taken from the set $\{0,1,2,3,....., 10\}$; then the probability that their sum as well as absolute difference are both multiple of 4, is
jeemain
math
past papers
2017
23
answered
Jan 25
by
priyanka.clay6
1
answer
The normal to the curve $y(x-2)(x-3) = x+6$ at the point where the curve intersects the y-axis passes through the point :
jeemain
math
past papers
2017
22
answered
Jan 25
by
priyanka.clay6
1
answer
Let $\overrightarrow{a} = 2 \hat{i} +\hat{j} - 2 \hat{k}$ and $\overrightarrow{b} = \hat{i} + \hat{j}$. Let $\overrightarrow{c}$ be a vector such that $| \overrightarrow{c} - \overrightarrow{a} | = 3, \; |(\overrightarrow{a} \times \overrightarrow{b} ) \times \overrightarrow{c} |=3$ and the angle between $\overrightarrow{c}$ and $\overrightarrow{a} \times \overrightarrow{b} $ be $30^{\circ}$. The $\overrightarrow{a}.\overrightarrow{c}$ is equal to
jeemain
math
past papers
2017
21
answered
Jan 25
by
priyanka.clay6
1
answer
$\displaystyle\lim_{x \to \frac{\pi}{2}} \frac{\cot x - \cos x}{(\pi - 2 x)^3}$ equals
jeemain
math
past papers
2017
20
answered
Jan 25
by
priyanka.clay6
1
answer
The function $f : R \to \begin{bmatrix}-\frac{1}{2}, \frac{1}{2} \end{bmatrix}$ defined as $f(x) = \frac{x}{1+x^2}$, is :
jeemain
math
past papers
2017
19
answered
Jan 23
by
priyanka.clay6
1
answer
A hyperbola passes through the point $P(\sqrt{2}, \sqrt{3})$ and has foci at $(\pm 2, 0)$. Then the tangent to this hyperbola at $P$ also passes through the point :
jeemain
math
past papers
2017
18
answered
Jan 23
by
priyanka.clay6
1
answer
If $\overrightarrow{\alpha}$ and $\overrightarrow{\beta}$ are non zero and different vector such that $|\overrightarrow{\alpha} + \overrightarrow{\beta}| = |\overrightarrow{\beta} - \overrightarrow{\alpha}|$, then the angle between $\overrightarrow{\alpha} $ and $\overrightarrow{\beta}$ is :
jeemain
math
past papers
1998
198
answered
Jan 12
by
pranavindurkar111
1
answer
A metal, M forms chlorides in its $+2$ and $+4$ oxidation states. Which of the following statements about these chlorides is correct ?
jeemain
chemistry
past papers
2006
78
answered
Jan 5
by
sharmaaparna1
1
answer
Which of the following undergoes reaction with 50% sodium hydroxide solution to give the corresponding alcohol and acid?
jeemain
chemistry
past papers
2004
146
answered
Dec 23, 2019
by
prathamkhandelwal9622
1
answer
If $z_1$ and $z_2$ are two non-zero complex numbers such that $|z_1+z_2| = |z_1| + |z_2|$, then arg $z_1$ - arg $z_2$ is equal to :
jeemain
math
past papers
2005
18
answered
Dec 22, 2019
by
koteswararaopeddi850
1
answer
In a nuclide, one a.m.u of mass is dissipated into energy to bind its nucleons. The energy equivalent of this mass is :
jeemain
chemistry
past papers
2001
83
answered
Dec 20, 2019
by
azharwahab950
1
answer
If $c$ is a parameter, then the differential equation whose solution is $y = c^2 + \frac{c}{x'}$ is :
jeemain
math
past papers
2000
138
answered
Dec 19, 2019
by
nikhiiraavi
1
answer
10.6 g of a substance of molecular weight 106 was dissolved in 100 mL. 10 mL of this solution was pipetted out into a 1000 mL flask and made up to the mark with distilled water. The molarity of the resulting solution is :
jeemain
chemistry
past papers
1998
53
asked
Dec 20, 2018
by
pady_1
0
answers
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