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Recent questions and answers in JEEMAIN PAST PAPERS
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JEEMAIN PAST PAPERS
JEEMAIN PAST PAPERS
1998
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Tinstone is contaminated with Wolframite. Which one of the following methods can be employed to dress the tinstone ore ?
jeemain
chemistry
past papers
1999
92
answered
Jun 20
by
nalamasuabhinay
1
answer
In a compound microscope cross wires are fixed at the point :
jeemain
physics
past papers
2000
10
answered
Jun 10
by
kelvinayagan
1
answer
If the acute angle between the curves $xy=2$ and $y^2 = 4x$ is $\theta$, then $\tan \theta$ is equal to :
jeemain
math
past papers
1999
183
answered
Jun 6
by
bmreddy497
1
answer
A ball A moving with a speed of $99\;ms^{-1}$ collides directly with another identical ball B moving with a speed $v$ in the opposite direction, A comes to rest after the collision. If the coefficients of restitution is 0.8, the speed of B before collision, is :
jeemain
physics
past papers
1999
11
answered
Jun 2
by
bheemsenkulkarni181
1
answer
In a $\Delta ABC$, $\tan \frac{A}{2} = \frac{5}{6}, \; \tan \frac{C}{2} = \frac{2}{5}$, then :
jeemain
math
past papers
2002
217
answered
Jun 2
by
tharunkona111
1
answer
The equation of the directrix to the parabola $y^2 -2x - 6y -5 = 0$ is
jeemain
math
past papers
1998
166
answered
May 23
by
shinuanudeep
1
answer
Which of the following reactions does not involve change in the oxidation state of the metal ?
jeemain
chemistry
past papers
2000
85
answered
May 18
by
fasakdioboy
1
answer
If the lines $\frac{x-1}{2} = \frac{y+1}{3} = \frac{z-1}{4}$ and $ \frac{x-3}{1} = \frac{y-k}{2} = \frac{z}{1}$ intersect, then $k$ is equal to
jeemain
math
past papers
2012
20
answered
May 15
by
priyanka.clay6
1
answer
Let $x_1, x_2, ....., x_n$ be $n$ observations, and let $\overline{x}$ be their arithematic mean and $\sigma^2$ be their variance. <br> Statement 1 : Variance of $2x_1, 2x_2, ....,2x_n$ is $4 \sigma^2$ <br> Statement 2 : Arithmetic mean of $2x, 2x_2, .... , 2x_n$ is $4 \overline{x}$.
jeemain
math
past papers
2012
14
answered
May 15
by
priyanka.clay6
1
answer
If the line $2x + y = k$ passes through the point which divides the line segment joining the points (1, 1) and (2, 4) in the ratio $ 3 : 2$, then $k$ equals
jeemain
math
past papers
2012
13
answered
May 15
by
priyanka.clay6
1
answer
In a $\Delta PQR$, if $ 3 \sin P + 4 \cos Q = 6 $ and $4 \sin Q + 3 \cos P = 1$, then the angle R is equal to
jeemain
math
past papers
2012
11
answered
May 15
by
priyanka.clay6
1
answer
Acetyl bromide reacts with excess of $CH_3MgI$ followed by treatment with a saturated solution of $NH_4Cl$ given
jeemain
chemistry
past papers
2004
144
answered
May 13
by
meena.clay6
1
answer
On mixing ethyl acetate with aqueous sodium chloride, the composition of the resultant solution is
jeemain
chemistry
past papers
2004
143
answered
May 13
by
meena.clay6
2
answers
The compound formed on heating chlorobenzene with chloral in the presence concentrated sulphuric acid is
jeemain
chemistry
past papers
2004
142
answered
May 13
by
meena.clay6
2
answers
Which base is present in RNA but not in DNA ?
jeemain
chemistry
past papers
2004
141
answered
May 13
by
meena.clay6
2
answers
Consider the acidity of the carboxylic acids :
jeemain
chemistry
past papers
2004
139
answered
May 13
by
meena.clay6
2
answers
Amongst the following compound, the optically active alkane having lowest molecular mass is
jeemain
chemistry
past papers
2004
138
answered
May 12
by
meena.clay6
1
answer
Rate of the reaction <br> <br> is fastest when Z is
jeemain
chemistry
past papers
2004
137
answered
May 12
by
meena.clay6
1
answer
Which of the folowing will have meso-isomer also ?
jeemain
chemistry
past papers
2004
136
answered
May 12
by
meena.clay6
1
answer
Which one of the following does not have $sp^2$ hybridized carbon ?
jeemain
chemistry
past papers
2004
135
answered
May 12
by
meena.clay6
1
answer
Which one of the following has the minimum boiling point ?
jeemain
chemistry
past papers
2004
133
answered
May 12
by
meena.clay6
1
answer
The ammonia evolved from the treatment of $0.30\;g$ of an organic compound for the estimation of nitrogen was passed in $100\; mL$ of $0.1\; M$ sulphuric acid. The excess of acid required $20 \; mL$ of $0.5\;M$ sodium hydroxide solution hydroxide solution for complete neutralization. The organic compound is
jeemain
chemistry
past papers
2004
132
answered
May 12
by
meena.clay6
1
answer
The compound formed in the positive test for nitrogen with the Lassaigne solution of an organic compound is
jeemain
chemistry
past papers
2004
131
answered
May 11
by
meena.clay6
1
answer
The half-life of a radioisotope is four hours. If the inital mass of the isotope was 200 g, the mass remaining after 24 hours undecayed is
jeemain
chemistry
past papers
2004
130
answered
May 11
by
meena.clay6
2
answers
The correct order of magnetic moments (spin only values in B.M.) among is <br> (Atomic numbers : Mn = 25; Fe = 26; Co = 27 )
jeemain
chemistry
past papers
2004
128
answered
May 11
by
meena.clay6
2
answers
Ethylene reacted with bromine in $CCl_4$ to form $X$. $X$ is treated with alcoholic $KOH$ to give $Y$. $X$ and $Y$ are respectively :
jeemain
chemistry
past papers
2000
68
answered
May 11
by
srinadh.dacharla2003
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
May 11
by
fasakdioboy
2
answers
A charged particle of mass $3 \times 10^{-6} kg$ is held stationary in space in an electric field of strength $10^6 NC^{-1}$ directed vertically downwards. The charge on the particle is : <br> $(g = 10\; ms^{-2})$
jeemain
physics
past papers
2000
2
answered
May 4
by
gracemahlah7
1
answer
If the circle $x^2 +y^2 +2x -2y+4=0$ cuts the circle $x^2 +y^2 + 4x + 2fy+2=0$ orthogonally, then $f$ is equal to :
jeemain
math
past papers
1999
129
answered
May 3
by
rongalisanthi3
1
answer
The pH of an aqueous solution of a salt is 10. The salt is :
jeemain
chemistry
past papers
2000
88
answered
May 3
by
hymamohanch
1
answer
If 100 times the $100^{th}$ term of an AP with non zero common difference equal the 50 times its $50^{th} $ term, then the $150^{th}$ term of this AP is
jeemain
math
past papers
2012
10
answered
May 2
by
priyanka.clay6
1
answer
If $n$ is a positive integer, then $(\sqrt{3} + 1)^{2n} - (\sqrt{3} - 1)^{2n}$ is
jeemain
math
past papers
2012
9
answered
May 2
by
priyanka.clay6
1
answer
Let $A = \begin{pmatrix} 1 & 0 & 0 \\ 2 & 1 & 0 \\ 3 & 2 & 1 \end{pmatrix}$. If $u_1$ and $u_2$ are column matrices such that $Au_1 = \begin{pmatrix} 1 & 0 & 0 \end{pmatrix} $ and $Au_2 = \begin{pmatrix} 0 & 1 & 0 \end{pmatrix} $, then $u_1 + u_2$ is equal to
jeemain
math
past papers
2012
8
answered
May 2
by
priyanka.clay6
1
answer
Statement 1 : An equation of a common tangent to the parabola $y^2 = 16 \sqrt{3}x$ and the ellipse $2x^2 + y^2 = 4$ is $y = 2x + 2\sqrt{3}$. <br> Statement 2 : If the line $y = mx + \frac{4 \sqrt{3}}{m}, (m \neq 0)$ is a common tangent to the parabola $y^2 = 16 \sqrt{3}x $ and the ellipse $2x^2 + y^2 = 4$, then $m$ satisfies $m^2 + 2m^2 = 24$.
jeemain
math
past papers
2012
7
answered
May 2
by
priyanka.clay6
1
answer
If the integral $\begin{align*} \int \frac{5 \tan x}{\tan x - 2} dx = x + a \;In |\sin x - 2 \cos x | + k \end{align*}$, then $a$ is equal to
jeemain
math
past papers
2012
6
answered
May 2
by
priyanka.clay6
1
answer
The negation of the statement "If I become a teacher, then I will open a school" is
jeemain
math
past papers
2012
5
answered
May 2
by
priyanka.clay6
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
May 2
by
priyanka.clay6
2
answers
A spherical balloon is filled with $4500 \pi$ cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate if $72 \pi$ cubic meters per minute, then the rate (in meters per minute) at which the radius of the ballon decreases 49 minutes after the leakage began is
jeemain
math
past papers
2012
3
answered
May 2
by
priyanka.clay6
1
answer
Let $\hat{a}$ and $\hat{b}$ be two unit vectors. If the vectors $\overrightarrow{c} = \hat{a} + 2 \hat{b}$ and $\overrightarrow{d} = 5 \hat{a} - 4 \hat{b}$ are perpendicular to each other, then the angle between $\hat{a}$ and $\hat{b}$ is
jeemain
math
past papers
2012
2
answered
May 2
by
priyanka.clay6
1
answer
The equation $e^{\sin x }- e^{- \sin x} - 4 = 0 $ has
jeemain
math
past papers
2012
1
answered
May 2
by
priyanka.clay6
1
answer
Among the following compounds which have more than one type of hybridization for carbon atom :<br> 1. $CH_3.CH_2.CH_2.CH_3$ <br> 2.$CH_3.CH= CH.CH_3$ <br>3. $CH_2 = CH - CH = CH_2$ <br> 4.$H-C = C-H $
jeemain
chemistry
past papers
1998
98
answered
May 2
by
erumaddisathvik
1
answer
The term independent of $x$ is expansion of $\begin{pmatrix} \frac{x+1}{x^{2/3}-x^{1/3} + 1 } - \frac{x-1}{x - x^{1/2}} \end{pmatrix}^{10}$ is
jeemain
math
past papers
2013
60
answered
Apr 24
by
priyanka.clay6
1
answer
Distance between two parallel planes $2x + y + 2z = 8$ and $4x + 2y + 4z + 5 = 0$ is
jeemain
math
past papers
2013
59
answered
Apr 24
by
priyanka.clay6
1
answer
If the equation $x^2 + 2x + 3 = 0$ and $ax^2 + bx + c = 0, a, b, c \in R$, have a common root, then a : b : c$ is
jeemain
math
past papers
2013
58
answered
Apr 24
by
priyanka.clay6
1
answer
The $z$ is a complex number of unit modulus an argument $\theta$, then $arg \begin{pmatrix}\frac{1+z}{1+ \overline{z}} \end{pmatrix}$ equals
jeemain
math
past papers
2013
57
answered
Apr 24
by
priyanka.clay6
1
answer
A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing is
jeemain
math
past papers
2013
56
answered
Apr 24
by
priyanka.clay6
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
If the vectors $\overrightarrow{a} = ( 1, x, -2)$ and $\overrightarrow{b} = (x, 3, -4)$ are mutually perpendicular, then is :
jeemain
math
past papers
1998
200
asked
Dec 19, 2018
by
pady_1
1
answer
If $|\overrightarrow{a}| = 5, |\overrightarrow{b} |= 6, |\overrightarrow{a}. \overrightarrow{b} | = 24$ then $|\overrightarrow{a} \times \overrightarrow{b} |$ is equal to :
jeemain
math
past papers
1998
199
asked
Dec 19, 2018
by
pady_1
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
asked
Dec 19, 2018
by
pady_1
1
answer
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