List of top Questions asked in JEE Main

CoCl3.xNH3 on reaction with excess AgNO3(aq.) gives two moles of AgCl as precipitate.
Summation of oxidation state of Co in CoCl3.xNH3 and x is:
X ⇌ Y;K1 = 1
Y ⇌ Z; K2 = 2
Z ⇌ W; K3 = 4
Find Keq for X ⇌ W
Which of the following compounds will not give Hinsberg's test
Find the mass (in g) of O2 required for the combustion of 900 g of glucose.
Find out the magnitude of work done on the gas when 1 mole of an ideal gas undergoes compression from 9 liter to 1 liter through a reversible isothermal process. (in Joule) (Nearest integer)
For 82x - 16.8x + 48 = 0, the sum of values of x is equal to:
\(I(x)=\int\frac{6dx}{sin^2x(1+\cot x)^2}\)and I(0) then I (\(\frac{\pi}{2}\)) is equal to
Let f(x) = cosx - x + 1, x ∈ [0,π], then
A=\(\begin{bmatrix}   2 & -1 \\   1 & 1  \end{bmatrix}\)if sum of diagonal elements of A13 is 3n then n equal to:
If C1: (x-α)2 +(y-β)2 =r12, c2: (x-6)2+ (y - 15/2)2 = r22 touches each other at (6, 6). If line joining centres of c1 & C2 is divided by (6, 6) in 2: 1 internally, then (α + β) + 4(r12 +r22) is equal to:
R = (a, b) : a + 5b = 42 and a, b ∈ N has m elements and \(\sum\limits_{n=1}^{m}(1+i^{n!})\) = x + iy (where i = √-1). Find x + y + m.
if \(y=\int\frac{e^{\tan x}dx}{\cos^2x(1+e^{2\tan x})}\) and y(0)=6 then y\(\frac{\pi}{4}\) is equal to
The area bounded by y = min{sin x, cos x} and x-axis in -π ≤ x ≤ π interval is equal to (in sq. units):
Let,\(f(\theta)=\frac{sin^4\theta+3cos^2\theta}{sin^4\theta+cos^2\theta},\)then range of f(θ) ∈ [a, b]. The sum of infinite G.P., where first term is 64 and common ratio is a/b is equal to:
3 blue balls and 4 yellow balls are in a box. 3 balls are drawn at random. Let variance and mean be X & Y respectively then value of 3X + 4Y is:
Figure shows two charges q1 and –q2 placed on the x-axis as shown. If electric field at p is along x-direction, find \(\frac{q_1}{q_2}\)
two charges q1 and –q2 placed on the x-axis
A disk of mass M, radius R is rotating about an axis passing through its centre and perpendicular to its plane with angular speed ω. If another disk of mass \(\frac{M}{2}\) and radius R is gently placed over it what will be their common angular velocity after some time?
In a given AC circuit consisting of a resistor R and an inductor L and source emf, two voltmeter V1 & V2 are connected as shown. If V2 = 36 volts then inductance of inductor is (Resistance R is √91Ω.)
AC circuit consisting of a resistor R and an inductor L
A block of mass 5 kg is released as shown in the figure. Surface CD is rough with = 0.5, rest of all the surfaces are smooth. Find the maximum compression in the spring (initially spring is in its natural length.)
A block of mass 5 kg is released
A physical quantity P depends on electric field (E) and permittivity of free space ( ε0 ) as  P ∝ E ε02, Find dimension of P
An electron and a proton has same de Broglie wavelength. If Ke and Kp are their respective kinetic energies, then
Find ratio of magnetic field at point P to that at point Q. Point P is inside the solid cylinder and Q is outside the cylinder. Current is uniform through the crosssection of cylinder.
ratio of magnetic field at point P to that at point Q
In a YDSE shown a monochromatic light of wavelength 500 nm is incident. At point P, 10th maxima is formed. Now the two slits are replaced with a single slit of width w placed at the centre. If first diffraction minima is observed at P, find w.
YDSE shown a monochromatic light
An object is projected such that its horizontal range and maximum height are same, then angle of projection is
A wave is given by the equation y= Asin{ π(330t-x) },then frequency of the wave is