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JEE Main
List of top Questions asked in JEE Main
Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$
Assertion A : Hydrogen is an environment-friendly fuel
Reason R : Atomic number of hydrogen is 1 and it is a very light element
In the light of the above statements, choose the correct answer from the options given below
JEE Main
Chemistry
Hydrogen
Which of the following represents the lattice structure of
\(A _{0.95} O\)
containing
\(A ^{2+}, A ^{3+}\)
and
\(O ^{2-}\)
ions?
JEE Main
Chemistry
bond energies
Which of the following are the example of double salt?
A $FeSO _4 \left( NH _4\right)_2 SO _4 \cdot 6 H _2 O$
B $CuSO _4 4 NH _3 H _2 O$
C $K _2 SO _4 \cdot Al _2\left( SO _4\right)_3 \cdot 24 H _2 O$
D $Fe ( CN )_2 \cdot 4 KCN$
Choose the correct answer
JEE Main
Chemistry
coordination compounds
Resonance in carbonate ion $\left( CO _3{ }^{2-}\right)$ is
Which of the following is true?
JEE Main
Chemistry
Organic Chemistry
Given below are two statements:
Statement I :
Chlorine can easily combine with oxygen to form oxides; and the product has a tendency to explode
Statement II :
Chemical reactivity of an element can be determined by its reaction with oxygen and halogens
In the light of the above statements, choose the correct answer from the options given below
JEE Main
Chemistry
Oxygen
Match List I with List II
List I
List II
A
Slaked lime
I
$NaOH$
B
Dead burnt plaster
II
$Ca(OH)_2$
C
Caustic soda
III
$Na_2CO_3 10H_2O$
D
Washing soda
IV
$CaSO_4$
Choose the correct answer from the options given below:
JEE Main
Chemistry
Acids and Bases
Let line L pass through the point \( (0, 1, 2) \), intersect the line \( {2 = {3 = {4 \), and be parallel to the plane \( 2x + y - 3z = 4 \). Find the distance of the point \( P(1, -9, 2) \) from line L. \\
JEE Main
Mathematics
3D Geometry
All the letters of the word PUBLIC are written in all possible orders and these words are written as in a dictionary with serial numbers. Then the serial number of the word PUBLIC is: \\ \\
JEE Main
Mathematics
Permutations
Let the vectors \( , , \) represent three coterminous edges of a parallelepiped of volume \( V \). Then the volume of the parallelepiped, whose coterminous edges are represented by \( , + \) and \( + 2 + 3 \) is equal to: \\ \\
JEE Main
Mathematics
3D Geometry
A solution of $FeCl _3$ when treated with $K _{ t }\left[ Fe ( CN )_6\right]$ gives a prussiun blue precipitate due to the formation of
JEE Main
Chemistry
Colligative Properties
Find out the major products from the following reactions
JEE Main
Chemistry
Alcohols, Phenols and Ethers
Let the solution curve $y=y(x)$ of the differential equation $\frac{d y}{d x}-\frac{3 x^5 \tan ^{-1}\left(x^3\right)}{\left(1+x^6\right)^{3 / 2}} y=2 x \exp \left\{\frac{x^3-\tan ^{-1} x^3}{\sqrt{\left(1+x^6\right)}}\right\}$ pass through the origin Then $y(1)$ is equal to :
JEE Main
Mathematics
Differential equations
If a gas absorbs
200
J
of heat and expands by
500
cm
3
against a constant pressure of
2
×
10
5
N
m
−
2
,
then the change in internal energy is:
JEE Main
Chemistry
Ideal gas equation
If the normal at point P
(
a
t
1
2
,
2
a
t
1
)
and
Q
(
a
t
2
2
,
2
a
t
2
)
on the parabola
y
2
=
4
a
x
meet on the parabola, the
t
1
t
2
equals
JEE Main
Mathematics
Parabola
P
Q
and
R
S
are two perpendicular chords of the rectangular hyperbola
x
y
=
c
2
. If
C
is the centre of the rectangular hyperbola, then the product of the slopes of
C
P
,
C
Q
,
C
R
and
C
S
is equal to:
JEE Main
Mathematics
Hyperbola
The correct order of increasing
C
-
O
bond length of
C
O
,
C
O
3
2
-
,
C
O
2
is:
JEE Main
Chemistry
Hydrocarbons
A body sliding on a frictionless track which terminates in a straight horizontal section CD. The body starts slipping from A and reaches point D. If h1 = 1 m, then how far from point D, will the body hit the ground?Take, g = 10 ms
-2
.
JEE Main
Physics
Work-energy theorem
In the metal carbonyls of the general formula M(CO)x where M = metal x = 4, EAN rule is satisfied for atomic number of M equal to:
JEE Main
Chemistry
Chemical bonding and molecular structure
The circle
x
2
+
y
2
+
4
x
−
7
y
+
12
=
0
cuts an intercept on
y
-axis of length
JEE Main
Mathematics
Circle
The derivative of
s
e
c
-
1
1
2
x
2
-
1
with respect to
1
-
x
2
at
x
=
1
2
is:
JEE Main
Mathematics
Application of derivatives
The rate of change of volume of a sphere with respect to its surface area when the radius is 4 cm is:
JEE Main
Mathematics
Surface Areas and Volumes
If A = {1, 2, 3, 4, 6} and R is a relation on A such that R = {(a, b) : a, b ∈ A and b is exactly divisible by a} then find the number of elements present in the range of R?
JEE Main
Mathematics
Relations and functions
The number of terms of an
A
P
is even. The sum of the odd terms is
24
and of the even terms is
30
. The last term exceeds the first by
10
1
2
. Then the number of terms in the series is ______.
JEE Main
Mathematics
Sequence and series
Phenol on reduction with H2 in the presence of Ni catalyst gives:
JEE Main
Chemistry
Alcohols, Phenols and Ethers
Which substance is produced when alcohol is added with petrol and used as a fuel?
JEE Main
Chemistry
Alcohols, Phenols and Ethers
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