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JEE Main 2021 (Online) 27th August Morning Shift

Exam Held on Fri Aug 27 2021 03:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

In the following sequence of reactions, the final product D is :<br><br><picture...
The structure of the starting compound P used in the reaction given below is :<b...
Match List - I with List - II :<br><br><img src="https://imagex.cdn.examgoal.net...
In which one of the following molecules strongest back donation of an electron p...
Deuterium resembles hydrogen in properties but :
Which refining process is generally used in the purification of low melting meta...
Match items of List-I with those of List-II :<br><br><table> <thead> <tr> ...
<picture><source media="(max-width: 320px)" srcset="https://imagex.cdn.examgoal....
The major product of the following reaction is :<br><br><picture><source media="...
Which of the following is not a correct statement for primary aliphatic amines?
Acidic ferric chloride solution on treatment with excess of potassium ferrocyani...
The gas 'A' is having very low reactivity reaches to stratosphere. It is non-tox...
The number of water molecules in gypsum, dead burnt plaster and plaster of Paris...
The nature of oxides V<sub>2</sub>O<sub>3</sub> and CrO is indexed as 'X' and 'Y...
Out of following isomeric forms of uracil, which one is present in RNA?
Given below are two statements : one is labelled as Assertion (A) and the other ...
In the following sequence of reactions the P is :<br><br><img src="https://image...
The unit of the van der Waals gas equation parameter 'a' in $$\left( {P + {{a{n^...
In polythionic acid, H<sub>2</sub>S<sub>x</sub>O<sub>6</sub> (x = 3 to 5) the ox...
Tyndall effect is more effectively shown by :
In Carius method for estimation of halogens, 0.2 g of an organic compound gave 0...
The reaction that occurs in a breath analyser, a device used to determine the al...
The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is...
1 kg of 0.75 molal aqueous solution of sucrose can be cooled up to $$-$$4$$^\cir...
1 mol of an octahedral metal complex with formula MCl<sub>3</sub> . 2L on reacti...
The number of moles of CuO, that will be utilized in Dumas method for estimation...
The number of f electrons in the ground state electronic configuration of Np (Z ...
200 mL of 0.2 M HCl is mixed with 300 mL of 0.1 M NaOH. The molar heat of neutra...
The number of moles of NH<sub>3</sub>, that must be added to 2L of 0.80 M AgNO<s...
When 10 mL of an aqueous solution of KMnO<sub>4</sub> was titrated in acidic med...

Mathematics

If 0 &lt; x &lt; 1, then $${3 \over 2}{x^2} + {5 \over 3}{x^3} + {7 \over 4}{x^4...
If for x, y $$\in$$ R, x &gt; 0, y = log<sub>10</sub>x + log<sub>10</sub>x<sup>1...
Let A be a fixed point (0, 6) and B be a moving point (2t, 0). Let M be the mid-...
If $${({\sin ^{ - 1}}x)^2} - {({\cos ^{ - 1}}x)^2} = a$$; 0 &lt; x &lt; 1, a $$...
If the matrix $$A = \left( {\matrix{ 0 &amp; 2 \cr K &amp; { - 1} \cr ...
The distance of the point (1, $$-$$2, 3) from the plane x $$-$$ y + z = 5 measur...
If $$S = \left\{ {z \in C:{{z - i} \over {z + 2i}} \in R} \right\}$$, then :
Let y = y(x) be the solution of the differential equation<br><br> $${{dy} \over ...
Equation of a plane at a distance $${2 \over {\sqrt {21} }}$$ from the origin, w...
If $${U_n} = \left( {1 + {1 \over {{n^2}}}} \right)\left( {1 + {{{2^2}} \over {{...
The statement (p $$ \wedge $$ (p $$\to$$ q) $$\wedge$$ (q $$\to$$ r)) $$\to$$ r ...
Let us consider a curve, y = f(x) passing through the point ($$-$$2, 2) and the ...
$$\sum\limits_{k = 0}^{20} {{{\left( {{}^{20}{C_k}} \right)}^2}} $$ is equal to ...
A tangent and a normal are drawn at the point P(2, $$-$$4) on the parabola y<sup...
Let $${{\sin A} \over {\sin B}} = {{\sin (A - C)} \over {\sin (C - B)}}$$, where...
If $$\alpha$$, $$\beta$$ are the distinct roots of x<sup>2</sup> + bx + c = 0, t...
When a certain biased die is rolled, a particular face occurs with probability $...
If x<sup>2</sup> + 9y<sup>2</sup> $$-$$ 4x + 3 = 0, x, y $$\in$$ R, then x and y...
$$\int\limits_6^{16} {{{{{\log }_e}{x^2}} \over {{{\log }_e}{x^2} + {{\log }_e}(...
A wire of length 20 m is to be cut into two pieces. One of the pieces is to be m...
Let $$\overrightarrow a = \widehat i + 5\widehat j + \alpha \widehat k$$, $$\ov...
The number of distinct real roots of the equation 3x<sup>4</sup> + 4x<sup>3</sup...
Let the equation x<sup>2</sup> + y<sup>2</sup> + px + (1 $$-$$ p)y + 5 = 0 repre...
If A = {x $$\in$$ R : |x $$-$$ 2| &gt; 1}, <br>B = {x $$\in$$ R : $$\sqrt {{x^2}...
If $$\int {{{dx} \over {{{({x^2} + x + 1)}^2}}} = a{{\tan }^{ - 1}}\left( {{{2x ...
If the system of linear equations<br><br>2x + y $$-$$ z = 3<br><br>x $$-$$ y $$-...
Let n be an odd natural number such that the variance of 1, 2, 3, 4, ......, n i...
If the minimum area of the triangle formed by a tangent to the ellipse $${{{x^2}...
A number is called a palindrome if it reads the same backward as well as forward...
If $${y^{1/4}} + {y^{ - 1/4}} = 2x$$, and <br><br>$$({x^2} - 1){{{d^2}y} \over {...

Physics

A uniformly charged disc of radius R having surface charge density $$\sigma$$ is...
There are 10<sup>10</sup> radioactive nuclei in a given radioactive element, its...
Which of the following is not a dimensionless quantity?
If E and H represents the intensity of electric field and magnetising field resp...
The resultant of these forces $$\overrightarrow {OP} ,\overrightarrow {OQ} ,\ove...
A balloon carries a total load of 185 kg at normal pressure and temperature of 2...
An object is placed beyond the centre of curvature C of the given concave mirror...
A huge circular arc of length 4.4 ly subtends an angle '4s' at the centre of the...
Calculate the amount of charge on capacitor of 4$$\mu$$F. The internal resistanc...
Moment of inertia of a square plate of side l about the axis passing through one...
For a transistor in CE mode to be used as an amplifier, it must be operated in :...
An ideal gas is expanding such that PT<sup>3</sup> = constant. The coefficient o...
In a photoelectric experiment, increasing the intensity of incident light :
A bar magnet is passing through a conducting loop of radius R with velocity $$\u...
Two ions of masses 4 amu and 16 amu have charges +2e and +3e respectively. These...
Find the distance of the image from object O, formed by the combination of lense...
In Millikan's oil drop experiment, what is viscous force acting on an uncharged ...
Electric field in a plane electromagnetic wave is given by E = 50 sin(500x $$-$$...
Five identical cells each of internal resistance 1$$\Omega$$ and emf 5V are conn...
The variation of displacement with time of a particle executing free simple harm...
A body of mass (2M) splits into four masses (m, M $$-$$ m, m, M $$-$$ m}, which ...
The alternating current is given by $$i = \left\{ {\sqrt {42} \sin \left( {{{2\p...
A uniform conducting wire of length is 24a, and resistance R is wound up as a cu...
A circuit is arranged as shown in figure. The output voltage V<sub>0</sub> is eq...
First, a set of n equal resistors of 10 $$\Omega$$ each are connected in series ...
Two cars X and Y are approaching each other with velocities 36 km/h and 72 km/h ...
If the velocity of a body related to displacement x is given by $$\upsilon = \s...
A rod CD of thermal resistance 10.0 KW<sup>$$-$$1</sup> is joined at the middle ...
Two persons A and B perform same amount of work in moving a body through a certa...
A transmitting antenna has a height of 320 m and that of receiving antenna is 20...

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