List of top Questions asked in JEE Main

The minimum value of \(| z+ \frac{3+4i}{2}|, |z| \leq 1\) is,
Let vertex \(A(2, 3, 1), B(3, 2, -1), C(-2, 1, 3)\). If \(AD\) is angle bisector of angle \(A\), then projection of \(\overrightarrow{AD}\) on \(\overrightarrow{AC}\) is equal to:
Find out charge (in C) required for electrolysis of \(1\) mole of \(H_2O\) to produce \(O_2\) on one of the electrodes. \((F = 96500 \;C)\)
Ethylene glycol of \(x\) \(kg\) is mixed with \(18.6\) \(kg\) of solvent, \(24 °C\) depression in freezing point takes place. Calculate value of \(x\). (Given: \(K_1\) = \(1.6 °C/molal\) M.W. of ethylene glycol = \(62\) \(g/mol\))
Consider the following two statements 
Statement I: In \(p\) and \(d\) block both metals and non - metals are present 
Statement II: Electronegativity and ionisation enthalpy of metals is greater than non - metals
Consider the following two statements Statement I: \(SiO_2\) and GeO₂\(GeO_2\) are acidic, \(SnO\) and \(PbO\) are amphoteric Statement II: Allotropes of carbon are formed due to catenation and \(dπ - ρπ\) bond
Consider the following two statements Statement I: \(π\) \(2p\) bonding molecular orbital has low electron density above & below internuclear axis Statement II: \(π\times2p\) antibonding molecular orbital has only one nodal plane
Which is following compound is easily attacked by electrophile?
Complementary stand of DNA ATGCTTCA is:
Which of the following is correct for adiabatic free expansion against vacuum?
We are given with three NaCl samples and their Van't Hoff factors. Which is correct option ?
SampleVan't Haff Factor 
Sample - 1 (0.1 M)\(i_1\)
Sample - 2 (0.01 M)\(i_2\)
Sample - 3 (0.001 M)\(i_2\)
Which of the following have a trigonal bipyramidal shape?
\(PF_5, PBr_5, [PtCl_4], SF_6, BF_3, BrF_5, PCl_5, [Fe(CO)_5]\)
If \((t+1)dx=(2x+(t+1)^3)dt\) and \(x(0)=2\), then \(x(1) \)is equal to:
Let S = {1,2,3,..., 20}, R1 = {(a, b): a divide b}, R2 = {(a, b): a is integral multiple of b} and a, b ∈ S. n(R1 - R2) = ?
Number of radial nodes present in 3p are
Which of the following compounds have colour due to d-d transition?
Given: \(5f (x) 4f(\frac 1x) = x^2 - 4 \) & \(y = 9f(x) × x^2\) If y is strictly increasing, then find interval of \(x\).
Which of the following compounds has intramolecular hydrogen bonding in it?
Which of the following has the highest 3rd ionization energy?
A \(10\) \(mL\) hydrocarbon \((C_2H_4)\) on combustion give \(40\) \(mL\) \(CO_2\) and \(50\) \(mL\) \(H_20\). Calculate the value of \(x+y\)
Solubility of \(Ca_3(PO_4)_2\) in \(100\) \(mL\) of pure water is \(W\) gm. Find out \(K_{sp}\) of \(Ca_3(PO_4)_2\) is: (M: Molecular mass of \(Ca_3(PO_4)_2\))
If the hyperbola \(x² - y² cosec²θ = 5\) and ellipse \(x²cosec²θ + y² = 5\) has eccentricity \(e_H\) and \(e_E\) respectively and \(e_H = \sqrt 7e_E\), then \(θ\) is equal to
\(L_1: γ^-=(i+2j+3k)+λ(i-j+k)\);
\(L_2: γ^-=(4i+5j+6k)+μ(i+j-k)\),
intersect \(L_1\) and \(L_2\) at P and Q respectively. If \((α, β, γ)\) is the mid point of the line segment PQ, then \(2(α, β, γ\)) is equal to
Which of the following sets of elements can be detected by Lassaigne's Test ?
Which of the following compounds in 3d series does not show +3 oxidation state?