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JEE Main 2019 (Online) 10th January Morning Slot

Exam Held on Thu Jan 10 2019 03:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

The total number of isotopes of hydrogen and number of radioactive isotopes amon...
Which of the following is not an example of heterogenous catalytic reaction ?
A process has $$\Delta $$H = 200 J mol–1 and $$\Delta $$S = 40 JK<sup>–1</sup> m...
A mixture of 100 m mol of Ca(OH)<sub>2</sub> and 2 g of sodium sulphate was diss...
Hall- Heroult's process is given by
The metal used for marking X–ray tube window is :
Which premitive unit cell has unequal edge lengths (a $$ \ne $$ b $$ \ne $$ c) a...
The electronegativity of aluminium is similar to :
The values of K<sub>p</sub>/K<sub>c</sub> for the following reactions at 300 K a...
If dichloromethane (DCM) and water (H<sub>2</sub>O) are used for differential ex...
The chemical nature of hydrogen peroxide is :
Two pi and half sigma bonds are present in :
Wilkinson catalyst is : (Et = C<sub>2</sub>H<sub>5</sub>)
The effect of lanthanoid contraction in the lanthanoid series of elements by and...
Water filled in two glasses A and B have BOD values of 10 and 20, respectively. ...
Liquids A and B form an ideal solution in the entire composition range. At 350 K...
Consider the following reduction processes : <br>Zn<sup>2+</sup> + 2e<sup>–</sup...
The type of hybridisation and number of lone pair (s) of electrons of Xe in XeOF...
Which hydrogen in compound (E) is easily replaceable during bromination reaction...
The increasing order of the pKa values of the following compounds is : <br><br>...
Which of the graphs shown below does not represent the relationship between inci...
Consider the given plots for a reaction obeying Arrhenius equation (0<sup>o</sup...
Which dicarboxylic acid in presence of a dehydrating agent is least reactive to ...
The major product of the following reaction is <br><br><img src="https://imagex...
The major product 'X' formed in the following reaction is : <br><br><img src="ht...
The correct structure of product 'P' in the following reactions is : <br><br><i...
The major product of the following reaction is : <br><br><img src="https://imag...
The decreasing order of ease of alkaline hydrolysis for the following esters in ...
The total number of isomers for a square planar complex<br> [M(F)(Cl)(SCN)(NO<su...
The major product formed in the reaction given below will be : <br><br><img src=...

Mathematics

In a class of 140 students numbered 1 to 140, all even numbered students opted M...
Let $$\overrightarrow a = 2\widehat i + {\lambda _1}\widehat j + 3\widehat k,\,...
Consider the statement : "P(n) : n<sup>2</sup> – n + 41 is prime". Then which on...
If the parabolas y<sup>2</sup> = 4b(x – c) and y<sup>2</sup> = 8ax have a comm...
The plane passing through the point (4, –1, 2) and parallel to the lines&nbsp;&n...
If a circle C passing through the point (4, 0) touches the circle x<sup>2</sup> ...
Let n $$ \ge $$ 2 be a natural number and $$0 &lt; \theta &lt; {\pi \over 2}.$...
The mean of five observations is 5 and their variance is 9.20. If three of the g...
If the system of equations <br><br>x + y + z = 5 <br><br>x + 2y + 3z = 9 <br><br...
An unbiased coin is tossed. If the outcome is a head then a pair of unbiased dic...
If 5, 5r, 5r<sup>2</sup> are the lengths of the sides of a triangle, then r cann...
Let f : R $$ \to $$ R be a function such that f(x) = x<sup>3</sup> + x<sup>2</s...
The equation of a tangent to the hyperbola 4x<sup>2</sup> – 5y<sup>2</sup> = 20 ...
If &nbsp;$${{dy} \over {dx}} + {3 \over {{{\cos }^2}x}}y = {1 \over {{{\cos }^2}...
Consider the quadratic equation (c – 5)x<sup>2</sup> – 2cx + (c – 4) = 0, c $$ \...
Consider a triangular plot ABC with sides AB = 7m, BC = 5m and CA = 6m. A vertic...
The shortest distance between the point&nbsp;&nbsp;$$\left( {{3 \over 2},0} \rig...
A point P moves on the line 2x – 3y + 4 = 0. If Q(1, 4) and R (3, – 2) are fixed...
The sum of all two digit positive numbers which when divided by 7 yield 2 or 5 a...
Let z<sub>1</sub> and z<sub>2</sub> be any two non-zero complex numbers such tha...
For each t $$ \in $$ R , let [t] be the greatest integer less than or equal to t...
Let &nbsp;$${\rm I} = \int\limits_a^b {\left( {{x^4} - 2{x^2}} \right)} dx.$$&nb...
If the area enclosed between the curves y = kx<sup>2</sup> and x = ky<sup>2</sup...
If&nbsp;&nbsp;$${\sum\limits_{i = 1}^{20} {\left( {{{{}^{20}{C_{i - 1}}} \over {...
If the line 3x + 4y – 24 = 0 intersects the x-axis at the point A and the y-axis...
If the third term in the binomial expansion <br>of $${\left( {1 + {x^{{{\log }_2...
The sum of all values of $$\theta $$ $$ \in $$$$\left( {0,{\pi \over 2}} \right...
Let&nbsp;&nbsp;d $$ \in $$ R, and&nbsp; <br><br>$$A = \left[ {\matrix{ { - 2}...
Let&nbsp;&nbsp;$$f\left( x \right) = \left\{ {\matrix{ {\max \left\{ {\left| ...
Let A be a point on the line $$\overrightarrow r = \left( {1 - 3\mu } \right)\w...

Physics

Two guns A and B can fire bullets at speeds 1 km/s and 2 km/s respectively. From...
A heat source at T = 10<sup>3</sup> K is connected to another heat reservoir at ...
A satellite is moving with a constant speed v in circular orbit around the earth...
A TV transmission tower has a height of 140 m and the height of the receiving an...
A train moves towards a stationary observer with speed 34 m/s. The train sounds ...
In the cube of side ‘a’ shown in the figure, the vector from the central point o...
A parallel plate capacitor is of area 6 cm<sup>2</sup> and a separation 3 mm. T...
To mop-clean a floor, a cleaning machine presses a circular mop of radius R vert...
A magnet of total magnetic moment 10<sup>-2</sup>$${\widehat i}$$A-m<sup>2</sup>...
Water flows into a large tank with flat bottom at the rate of 10<sup>–4</sup>m<s...
In a Young’s double slit experiment with slit separation 0.1 mm, one observes a ...
A solid metal cube of edge length 2 cm is moving in a positive y-direction at a ...
The density of a material in SI units is 128 kg m<sup>–3</sup> . In certain unit...
Using a nuclear counter the count rate of emitted particles from a radioactive s...
An insulating thin rod of length $$l$$ has a linear charge density $$\rho \left(...
A uniform metallic wire has a resistance of 18 $$\Omega $$ and is bent into an e...
A plano convex lens of refractive index $$\mu $$<sub>1</sub> and focal length ƒ<...
In an electron microscope, the resolution that can be achieved is of the order o...
A homogeneous solid cylindrical roller of radius R and mass M is pulled on a cri...
A string of length 1 m and mass 5 g is fixed at both ends. The tension in the st...
If the magnetic field of a plane electromagnetic wave is given by (the speed of ...
A 2 W carbon resistor is color coded with green, black, red and brown respective...
A charge Q is distributed over three concentric spherical shells of radii a, b, ...
A piece of wood of mass 0.03 kg is dropped from the top of a 100 m height buildi...
A block of mass m is kept on a platform which starts from rest with constant acc...
Two electric dipoles, A, B with respective dipole moments $${\overrightarrow d _...
To get output 1 at R, for the given logic gate circuit the input values must be ...
In the given circuit the cells have zero internal resistance. The currents (in A...
Three Carnot engines operate in series between a heat source at a temperature T<...
A potentiometer wire AB having length L and resistance 12 r is joined to a cell ...

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