List of top Questions asked in JEE Main

If the orthocentre of triangle formed by (8, 3), (5, 1) and (h, k) is (6, 1), then (h, k) lie on
If the system of linear equations $ 8 x+y+4 z=-2 $, $ x+y+z=0 $, $ \lambda x-3 y=\mu$ has infinitely many solutions, then the distance of the point $\left(\lambda, \mu,-\frac{1}{2}\right)$ from the plane $8 x + y +4 z +2=0$ is :
\(\lim\limits_{n\rightarrow \infin}\frac{\sum(n^4-2n^3+n^2)}{\sum ((3n)^4+n^3-n^2)}\) is equal to
Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: The diameter of colloidal particles in solution should not be much smaller than wavelength of light to show Tyndall effect. 
Reason R : The light scatters in all directions when the size of particles is large enough. 
In the light of the above statements, choose the correct answer from the options given below
Chemical formula of compound present in tooth enamel?
Identify the correct Lewis dot structure of NO-2.
Ba+2 cannot be precipitated as?
X ⇌ Y;K1 = 1
Y ⇌ Z; K2 = 2
Z ⇌ W; K3 = 4
Find Keq for X ⇌ W
Which of the following has sp2 hybridisation?
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:
A wave is given by the equation y= Asin{ π(330t-x) },then frequency of the wave is
A person covers the first half of the distance with 6 m/s and the rest half with 9 m/s and 15 m/s in two equal time intervals. Find the average speed of the journey.
A particle oscillates in simple harmonic motion such that its speed and acceleration at distance 2 m from mean position are 4 m/s and 16 m/s2 respectively. Find the amplitude of oscillation of the particle.
A solenoid of 10 turns cross section area 36 cm2 and of resistance 10 mΩ is placed in a magnetic field which is varying at a constant rate of 0.5 T/sec. Find power of heat dissipation.
A galvanometer having resistance of 200 Ω shows full deflection at 20 μA. If the galvanometer has to measure current up to 20 mA, the shunt resistance required is
Three helium atoms from carbon at high temperature due to fusion. Masses of helium and carbon nuclei a.m.u are 4.0002 and 12 respectively . Find energy released in the process
Critical angle for a pair of medium is given to be 45°. Find the ratio of the refractive index of rarer to denser medium.

A black body is at a temperature of 2880 K. The energy of radiation emitted by this body with wavelength between 499 nm and 500 nm is U1, between 999 nm and 1000 nm is U2 and between 1499 nm and 1500 nm is U3. The Wien's constant, b = 2.88×106 nm-K. Then,

A ball is projected vertically upwards from a building. The time taken to reach ground is T1. Another ball is projected downwards from the same building, with the same speed. The time taken to reach ground is T2. If a third ball is released from the same building, the time taken to reach the ground is
Which of the following is incorrect for paramagnetic materials?
A wave y=asin⁡(ωt−kx) on a string meets with another wave producing a node at x=0. Then the equation of the unknown wave is:
In a ΔPQR, if 3sinP + 4cosQ = 6 and 4sinQ + 3cosP = 1, then the angle R is equal to:

For x ∈ (0, π), the equation sin x + 2sin2x −sin3x = 3 has 

If the initial pressure of a gas is 0.03 atm, the mass of the gas adsorbed per gram of the adsorbent is ______ × 10–2 g.

If f(x) is defined on domain [0, 1], then f(2 sin x) is defined on