JEE Main 2019 (Online) 9th April Morning Slot
Paper was held on Tue, Apr 9, 2019 3:30 AM
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Chemistry

The correct order of the oxidation states of nitrogen in NO, N2O, NO2 and N2O3 is :
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The degenerate orbitals of [Cr(H2O)6]3+ are :
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The major product of the following reaction is :
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The organic compound that gives following qualitative analysis is : .tg {border-collapse:collapse;border-spacing:0;wid
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Excessive release of CO2 into the atomosphere results in :
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Which of the following statements is not true about sucrose?
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The one that will show optical activity is : (en = ethane-1,2-diamine)
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Among the following, the molecule expected to be stabilized by anion formation is : C2, O2, NO, F2
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The given plots represent the variation of the concentration of a reactant R with time for two different reactions (i) a
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The major product of the following reaction is :
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For a reaction, N2(g) + 3H2(g) $$ \to $$ 2NH3(g) ; identify dihydrogen (H2) as a limiting reagent in the following react
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The aerosol is a kind of colloid in which :
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The correct IUPAC name of the following compound is :
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The number of water molecule(s) not coordinated to copper ion directly in CuSO4.5H2O, is :
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C60 an allotrope of carbon contains :
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The osmotic pressure of a dilute solution of an ionic compound XY in water is four times that of a solution of 0.01 M Ba
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Among the following, the set of parameters that represents path function, is : (A) q + w (B) q (C) w (D) H–TS
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The standard Gibbs energy for the given cell reaction in kJ mol–1 at 298 K is : Zn(s) + Cu2+ (aq) $$ \to $$ Zn2+ (aq) +
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Consider the van der Waals constants, a and b, for the following gases. .tg {border-collapse:collapse;border-spacing:0
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The ore that contains the metal in the form of fluoride is :
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The major product of the following reaction is :
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The increasing order of reactivity of the following compounds towards aromatic electrophilic substitution reaction is :
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Magnisium powder burns in air to give :
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The major product of the following reaction is : $${\rm{C}}{{\rm{H}}_3}{\rm{CH = CHC}}{{\rm{O}}_2}{\rm{CH_3 }}\buildrel
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Liquid 'M' and liquid 'N' form an ideal solution. The vapour pressures of pure liquids 'M' and 'N' are 450 and 700 mmHg,
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Aniline dissolved in dilute HCl is reacted with sodium nitrite at 0ºC. This solution was added dropwise to a solution co
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For any given series of spectral lines of atomic hydrogen, let $$\Delta \mathop v\limits^\_ = $$ $$\Delta {\overline v
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The element having greatest difference between its first and second ionization energies, is :
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The major product of the following reaction is :
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Match the catalysts (Column I) with products (Column II). .tg {border-collapse:collapse;border-spacing:0;width:100%} .
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Mathematics

Let $$\overrightarrow \alpha = 3\widehat i + \widehat j$$ and $$\overrightarrow \beta = 2\widehat i - \widehat j + 3
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For any two statements p and q, the negation of the expression p $$ \vee $$ (~p $$ \wedge $$ q) is :
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The value of $$\int\limits_0^{\pi /2} {{{{{\sin }^3}x} \over {\sin x + \cos x}}dx} $$ is
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If ƒ(x) is a non-zero polynomial of degree four, having local extreme points at x = –1, 0, 1; then the set S = {x $$ \i
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Let ƒ(x) = 15 – |x – 10|; x $$ \in $$ R. Then the set of all values of x, at which the function, g(x) = ƒ(ƒ(x)) is not d
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If the standard deviation of the numbers –1, 0, 1, k is $$\sqrt 5$$ where k > 0, then k is equal to
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Let S be the set of all values of x for which the tangent to the curve y = ƒ(x) = x3 – x2 – 2x at (x, y) is parallel to
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Let p, q $$ \in $$ R. If 2 - $$\sqrt 3$$ is a root of the quadratic equation, x2 + px + q = 0, then :
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All the points in the set $$S = \left\{ {{{\alpha + i} \over {\alpha - i}}:\alpha \in R} \right\}(i = \sqrt { - 1} )$
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Slope of a line passing through P(2, 3) and intersecting the line, x + y = 7 at a distance of 4 units from P, is :
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If the fourth term in the binomial expansion of $${\left( {{2 \over x} + {x^{{{\log }_8}x}}} \right)^6}$$ (x > 0) is
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A committee of 11 members is to be formed from 8 males and 5 females. If m is the number of ways the committee is formed
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The solution of the differential equation $$x{{dy} \over {dx}} + 2y$$ = x2 (x $$ \ne $$ 0) with y(1) = 1, is :
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A plane passing through the points (0, –1, 0) and (0, 0, 1) and making an angle $${\pi \over 4}$$ with the plane y – z
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Let the sum of the first n terms of a non-constant A.P., a1, a2, a3, ..... be $$50n + {{n(n - 7)} \over 2}A$$, where A i
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The integral $$\int {{\rm{se}}{{\rm{c}}^{{\rm{2/ 3}}}}\,{\rm{x }}\,{\rm{cose}}{{\rm{c}}^{{\rm{4 / 3}}}}{\rm{x \,dx}}} $$
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The area (in sq. units) of the region A = {(x, y) : x2 $$ \le $$ y $$ \le $$ x + 2} is
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Let $$\alpha $$ and $$\beta $$ be the roots of the equation x2 + x + 1 = 0. Then for y $$ \ne $$ 0 in R, $$$\left| {\mat
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Let $$\sum\limits_{k = 1}^{10} {f(a + k) = 16\left( {{2^{10}} - 1} \right)} $$ where the function ƒ satisfies ƒ(x + y)
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If the tangent to the curve, y = x3 + ax – b at the point (1, –5) is perpendicular to the line, –x + y + 4 = 0, then whi
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Four persons can hit a target correctly with probabilities $${1 \over 2}$$, $${1 \over 3}$$, $${1 \over 4}$$ and $${1 \o
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If the line, $${{x - 1} \over 2} = {{y + 1} \over 3} = {{z - 2} \over 4}$$ meets the plane, x + 2y + 3z = 15 at a point
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If the line y = mx + 7$$\sqrt 3 $$ is normal to the hyperbola $${{{x^2}} \over {24}} - {{{y^2}} \over {18}} = 1$$ , then
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The value of cos210° – cos10°cos50° + cos250° is
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Let S = {$$\theta $$ $$ \in $$ [–2$$\pi $$, 2$$\pi $$] : 2cos2$$\theta $$ + 3sin$$\theta $$ = 0}. Then the sum of the el
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If a tangent to the circle x2 + y2 = 1 intersects the coordinate axes at distinct points P and Q, then the locus of the
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If the function ƒ defined on , $$\left( {{\pi \over 6},{\pi \over 3}} \right)$$ by $$$f(x) = \left\{ {\matrix{ {{{\
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If one end of a focal chord of the parabola, y2 = 16x is at (1, 4), then the length of this focal chord is :
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If $$\left[ {\matrix{ 1 & 1 \cr 0 & 1 \cr } } \right]\left[ {\matrix{ 1 & 2 \cr 0 &
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If the function ƒ : R – {1, –1} $$ \to $$ A defined by ƒ(x) = $${{{x^2}} \over {1 - {x^2}}}$$ , is surjective, then A i
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Physics

In the density measurement of a cube, the mass and edge length are measured as (10.00 ± 0.10) kg and (0.10 ± 0.01) m, re
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An HCl molecule has rotational, translational and vibrational motions. If the rms velocity of HCl molecules in its gaseo
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A wire of resistance R is bent to form a square ABCD as shown in the figure. The effective resistance between E and C is
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Following figure shows two processes A and B for a gas. If $$\Delta $$QA and $$\Delta $$QB are the amount of heat absorb
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The total number of turns and cross-section area in a solenoid is fixed. However, its length L is varied by adjusting th
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A simple pendulum oscillating in air has period T. The bob of the pendulum is completely immersed in a non-viscous liqui
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Determine the charge on the capacitor in the following circuit :
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A system of three charges are placed as shown in the figure : If D >> d, the potential energy of the system is be
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A body of mass 2 kg makes an eleastic collision with a second body at rest and continues to move in the original directi
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The stream of a river is flowing with a speed of 2km/h. A swimmer can swim at a speed of 4km/h. What should be the direc
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A solid sphere of mass 'M' and radius 'a' is surrounded by a uniform concentric spherical shell of thickness 2a and mass
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The pressure wave, P = 0.01 sin [1000t – 3x] Nm–2, corresponds to the sound produced by a vibrating blade on a day when
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An NPN transistor is used in common emitter configuration as an amplifier with 1 k$$\Omega $$ load resistance. Signal vo
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A moving coil galvanometer has resistance 50$$\Omega $$ and it indicates full deflection at 4mA current. A voltmeter is
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The electric field of light wave is given as $$$\overrightarrow E = {10^{ - 3}}\cos \left( {{{2\pi x} \over {5 \times {
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A ball is thrown vertically up (taken as +z-axis) from the ground. The correct momentum-height (p-h) diagram is :
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A capacitor with capacitance 5μF is charged to 5μC. If the plates are pulled apart to reduce the capacitance to 2μF, how
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The figure shows a Young's double slit experimental setup. It is observed that when a thin transparent sheet of thicknes
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A rigid square loop of side 'a' and carrying current I2 is lying on a horizontal surface near a long current I1 carrying
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A string is clamped at both the ends and it is vibrating in its 4th harmonic. The equation of the stationary wave is Y =
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The following bodies are made to roll up (without slipping) the same inclined plane from a horizontal plane. : (i) a rin
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A stationary horizontal disc is free to rotate about its axis. When a torque is applied on it, its kinetic energy as a f
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A uniform cable of mass 'M' and length 'L' is placed on a horizontal surface such that its (1/n)th part is hanging below
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The magnetic field of a plane electromagnetic wave is given by : $$$\overline B = {B_0}\widehat i\left[ {\cos (kz - \om
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If 'M' is the mass of water that rises in a capillary tube of radius 'r', then mass of water which will rise in a capill
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Taking the wavelength of first Balmer line in hydrogen spectrum (n = 3 to n = 2) as 660 nm, the wavelength of the 2nd Ba
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A concave mirror for face viewing has focal length of 0.4 m. The distance at which you hold the mirror from your face in
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A rectangular coil (Dimension 5 cm × 2.5 cm) with 100 turns, carrying a current of 3 A in the clock-wise direction is ke
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A signal Acoswt is transmitted using v0 sin $$\omega $$0t as carrier wave. The correct amplitude modulated (AM) signal i
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For a given gas at 1 atm pressure, rms speed of the molecule is 200 m/s at 127°C. At 2 atm pressure and at 227°C, the rm
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