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JEE Main 2019 (Online) 8th April Morning Slot

Exam Held on Mon Apr 08 2019 03:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

Diborane (B<sub>2</sub>H<sub>6</sub>) reacts with O<sub>2</sub> and H<sub>2</sub...
<b>Assertion:</b> Ozone is destroyed by CFCs in the upper stratosphere.<br><br> ...
Adsorption of a gas follows freundlich adosorbed isotherm. x is the mass of the ...
An organic compound 'X' showing the following solubility profile is : <img src="...
With respect to an ore, Ellingham diagram helps to predict the feasibility of it...
The following ligand is : <img src="https://imagex.cdn.examgoal.net/GatEaxLrxwVN...
Maltose on treatment with dilute HCI gives :
The correct order of hydration enthapies of alkali metal ions is :
Given that $${E^\Theta }_{{O_2}/{H_2}O} = 1.23\,V$$ ;<br> $${E^\Theta }_{{S_2}O_...
An organic compound neither reacts with natural ferric chloride solution nor wit...
For silver, C<sub>p</sub>(J K<sup>–1</sup> mol<sup>–1</sup>) = 23 +0.01 T. If th...
The vapour pressures of pure liquids A and B are 400 and 600 mmHg, respectively ...
Which is wrong with respect to our responsiblity as a human being to protect our...
The major product of the following reaction is : <img src="https://imagex.cdn.ex...
Coupling of benzene diazonium chloride with 1 - naphthol in alkaline medium will...
If solublity product of Zr<sub>3</sub>(PO<sub>4</sub>)<sub>4</sub> is denoted by...
The size of the iso-electronic species Cl<sup>–</sup>, &nbsp;Ar and Ca<sup>2+</s...
In order to oxidise a mixture of one mole of each of FeC<sub>2</sub>O<sub>4</sub...
The major product of the following reaction is : <img src="https://imagex.cdn.ex...
The lathanide ion that would show colour is :
For the reaction 2A + B $$ \to $$ C, the values of initial rate at diffrent reac...
The correct order of the spin-only magnetic moment of metal ions in the followin...
100 mL of a water sample contains 0.81 g of calcium bicrabonate and 0.73 g of ma...
Element 'B' forms ccp structure and 'A' occupies half of the octahedral voids, w...
In the following compounds, the decreasing order of basic strength will be :
Which of the following amines can be prepared by Gabriel phthalimide reaction ?
Which one of the following equations does not correctly represent the first law ...
The quantum number of four electrons are given below :<br> n = 4, l = 2, m<sub>l...
The major product of the following reaction is : <img src="https://imagex.cdn.ex...
The IUPAC name of the following compound is :<br> <picture><source media="(max-w...

Mathematics

Let y = y(x) be the solution of the differential equation,<br><br> $${({x^2} + 1...
The shortest distance between the line y = x and the curve y<sup>2</sup> = x – 2...
If $$\alpha $$ and $$\beta $$ be the roots of the equation x<sup>2</sup> – 2x + ...
A point on the straight line, 3x + 5y = 15 which is equidistant from the coordin...
$$\mathop {\lim }\limits_{x \to 0} {{{{\sin }^2}x} \over {\sqrt 2 - \sqrt {1 + ...
The length of the perpendicular from the point (2, –1, 4) on the straight line, ...
The magnitude of the projection of the vector $$\mathop {2i}\limits^ \wedge + ...
The contrapositive of the statement "If you are born in India, then you are a ci...
The mean and variance of seven observations are 8 and 16, respectively. If 5 of ...
If $$\alpha = {\cos ^{ - 1}}\left( {{3 \over 5}} \right)$$, $$\beta = {\tan ^{...
If the tangents on the ellipse 4x<sup>2 </sup>+ y<sup>2</sup> = 8 at the points ...
If $$f(x) = {{2 - x\cos x} \over {2 + x\cos x}}$$ and g(x) = log<sub>e</sub>x, (...
If S<sub>1</sub> and S<sub>2</sub> are respectively the sets of local minimum an...
Let O(0, 0) and A(0, 1) be two fixed points. Then the locus of a point P such th...
If $$f(x) = {\log _e}\left( {{{1 - x} \over {1 + x}}} \right)$$, $$\left| x \rig...
Let $$A = \left( {\matrix{ {\cos \alpha } &amp; { - \sin \alpha } \cr {\...
The sum of all natural numbers 'n' such that 100 &lt; n &lt; 200 and H.C.F. (91,...
The sum of the series <br><br>2.<sup>20</sup>C<sub>0</sub> + 5.<sup>20</sup>C<...
Let A and B be two non-null events such that A $$ \subset $$ B . Then, which of ...
The sum of the solutions of the equation <br> $$\left| {\sqrt x - 2} \right| + ...
The sum of the co-efficients of all even degree terms in x in the expansion of<b...
The area (in sq. units) of the region<br> A = { (x, y) $$ \in $$ R × R|&nbsp;&nb...
Let ƒ : [0, 2] $$ \to $$ R be a twice differentiable function such that ƒ''(x) &...
The sum of the squares of the lengths of the chords intercepted on the circle, x...
All possible numbers are formed using the digits 1, 1, 2, 2, 2, 2, 3, 4, 4 taken...
If $$2y = {\left( {{{\cot }^{ - 1}}\left( {{{\sqrt 3 \cos x + \sin x} \over {\co...
$$\int {{{\sin {{5x} \over 2}} \over {\sin {x \over 2}}}dx} $$ is equal to<br> (...
The greatest value of c $$ \in $$ R for which the system of linear equations<br>...
If cos($$\alpha $$ + $$\beta $$) = 3/5 ,sin ( $$\alpha $$ - $$\beta $$) = 5/13 a...
The equation of a plane containing the line of intersection of the planes 2x – y...

Physics

A 200 $$\Omega $$ resistor has a certain color code. If one replaces the red co...
A boy's catapult is made of rubber cord which is 42 cm long, with 6 mm diameter ...
Four particles A, B, C and D with masses m<sub>A</sub> = m, m<sub>B</sub> = 2m, ...
For the circuit shown, with R<sub>1</sub> = 1.0W, R<sub>2</sub> = 2.0 W, E<sub>1...
Water from a pipe is coming at a rate of 100 litres per minute. If the radius of...
A circular coil having N turns and radius r carries a current I. It is held in t...
Voltage rating of a parallel plate capacitor is 500V. Its dielectric can withsta...
Two identical breakers A and B contain equal volumes of two different liquids at...
The bob of a simple pendulum has mass 2g and a charge of 5.0 μC. It is at rest i...
The reverse breakdown voltage of a Zener diode is 5.6 V in the given circuit.<br...
A thin strip 10 cm long is on a U shaped wire of negligible resistance and it is...
An upright object is placed at a distance of 40 cm in front of a convergent lens...
A 20 Henry inductor coil is connected to a 10 ohm resistance in series as shown ...
<img src="https://imagex.cdn.examgoal.net/XkHXDeLLRIJ4tXYOV/hyMQw3PZmHtk7nYhTiTM...
Ship A is sailing towards north-east with velocity $$\mathop v\limits^ \to = 3...
A thin circular plate of mass M and radius R has its density varying as $$\rho $...
A solid conducting sphere, having a charge Q, is surrounded by an uncharged cond...
In figure, the optical fiber is $$l$$ = 2m long and has a diameter of d = 20 μm....
A steel wire having a radius of 2.0 mm, carrying a load of 4 kg, is hanging from...
Four identical particles of mass M are located at the corners of a square of sid...
A particle moves in one dimension from rest under the influence of a force that ...
A plane electromagnetic wave travels in free space along the x-direction. The el...
In SI units, the dimesions of $$\sqrt {{{{ \in _0}} \over {{\mu _0}}}} $$ is :
Radiation coming from transitions n = 2 to n = 1 of hydrogen atoms fall on He<su...
A thermally insulated vessel contains 150g of water at 0°C. Then the air from th...
In an interference experiment the ratio of amplitudes of coherent waves is $${{{...
Two particles move at right angle to each other. Their de-Broglie wavelengths ar...
The wavelength of the carrier waves in a modern optical fiber communication netw...
An alternating voltage v(t) = 220 sin 100 $$\pi $$t volt is applied to a purely ...
If 10<sup>22</sup> gas molecules each of mass 10<sup>–26</sup> kg collide with a...

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