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JEE Main
List of top Questions asked in JEE Main, VITEEE
If z1, z2, z3 are the vertices of the equilateral triangle and the z0 be its orthocentre, such that z12+z22+z32 = Kz02, then K equals
VITEEE
Mathematics
Differential equations
The correct order of atomic radii is:
JEE Main
Chemistry
Some basic concepts of chemistry
At equilibrium the concentrations of
N
2
=
3.0
×
10
−
3
M
,
O
2
=
4.2
×
10
−
3
M
and
NO
=
2.8
×
10
−
3
M
in a sealed vessel at
800
K
. What will be
K
C
for the reaction
N
2
(
g
)
+
O
2
(
g
)
⇋
2
NO
(
g
)
?
JEE Main
Chemistry
Equilibrium
Find the sum of the roots of the quadratic equation \( 2x^2 - 3x - 5 = 0 \).
VITEEE
Mathematics
Quadratic Equations
Find the value of \( x \) that satisfies the equation \( \frac{3x - 4}{2} = 5 \).
VITEEE
Mathematics
Linear Equations
Find the value of \( x \) in the quadratic equation \( x^2 - 5x + 6 = 0 \).
VITEEE
Mathematics
Quadratic Equations
Solve for \( x \) in the equation \( 3x + 5 = 2x + 7 \).
VITEEE
Mathematics
Linear Equations
Which of the following are the Green house gases?
A. Water vapour
B. Ozone
C. 1
2
D. Molecular hydrogen
Choose the most appropriate answer from the options given below
JEE Main
Chemistry
liquifaction of gases
A conducting loop in the plane of the paper is halfway into the magnetic field (which points into the page). If the magnetic field begins to increase rapidly in strength, what happens to the loop?
VITEEE
Mathematics
Magnetic Field
Max value of x+3y subject to conditions x+y≤4, 0≤x≤3 & 0≤y≤2 is?
VITEEE
Mathematics
Differential equations
The value of c for which the mean value of the theorem hols for the function f(x) = 2x - x 2 on the interval [0,1] is:
VITEEE
Mathematics
Mean Value Theorem
Cos x+y cosx cos x-y are in hp then
\(\frac{cosx*secy}{2}\)
is
VITEEE
Mathematics
Harmonic Progressions
Perpendicular distance of the point P (3,5,6) from Y-axis is
VITEEE
Mathematics
Time, Speed and Distance
Area of the greatest rectangle that can be inscribed in the ellipse
\( \frac{x_2 }{a_2} +\frac{ y_ 2 }{b_2} = 1\)
is
VITEEE
Mathematics
Angles
The arithmetic mean and the harmonic mean between 2 numbers are 27 and 12 respectively, then their geometric mean is given by:
VITEEE
Mathematics
Arithmetic Mean
A cylindrical wire is stretched to increase its length by 10%. Percentage increase in its resistance is:
VITEEE
Physics
Resistance
A 12V battery, a 12 Ω resistor and a 4 Ω resistor are connected. The voltage across 12Ω resistor is that across
VITEEE
Physics
Resistance
The rest mass of photon is____.
VITEEE
Physics
Mass
The amino acid residue that favors the occurrence of a turn in the protein structure is
VITEEE
Biology
Common regulatory mechanisms in synthesis of amino acids
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 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
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
Find out the major products from the following reactions
JEE Main
Chemistry
Alcohols, Phenols and Ethers
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
Two thin convex lenses of focal lengths f1 and f2 are separated by a horizontal distance d (where d < f1, d < f2) and their centers are displaced by a vertical separation Δ as shown in the figure.
Taking the origin of coordinates, O at the center of the first lens, the x and y-coordinates of the focal point of this lens system, for a parallel beam of rays coming from the left, are given by
JEE Main
Physics
Ray optics and optical instruments
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