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JEE Main 2016 (Online) 10th April Morning Slot

Exam Held on Sun Apr 10 2016 03:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

The volume of 0.1N dibasic acid sufficient to neutralize 1 g of a base that furn...
Initially, the <i>root mean square (rms)</i> velocity of N<sub>2</sub> molecules...
Aqueous solution of which salt will not contain ions with the electronic configu...
The bond angle H - X - H is the greatest in the compound :
Oxidation of succinate ion produces ethylene and carbon dioxide gases. On passin...
An aqueous solution of a salt MX<sub>2</sub> at certain temperature has a van’t ...
If 100 mole of H<sub>2</sub>O<sub>2</sub> decompose at 1 bar and 300 K, the work...
The rate law for the reaction below is given by the expression k [A] [B] <br><br...
A solid XY kept in an evacuated sealed container undergoes decomposition to form...
Gold numbers of some colloids are : Gelatin : 0.005 - 0.01, Gum Arabic : 0.15 - ...
The following statements concern elements in the periodic table. Which of the fo...
Extraction of copper by smelting uses silica as an additive to remove :
Identify the reaction which does not liberate hydrogen :
The commercial name for calcium oxide is :
<b>Assertion :</b>&nbsp;&nbsp;&nbsp;&nbsp; Among the carbon allotropes, diamond ...
Identify the correct statement :
Which of the following is an example of homoleptic complex ?
The transition metal ions responsible for color in ruby and emerald are, respect...
Identify the <b>incorrect</b> statement :
Which one of the following substances used in dry cleaning is a better strategy ...
Sodium extract is heated with concentrated HNO<sub>3</sub> before testing for ha...
Bromination of cyclohexene under conditions given below yields : <br><br><img sr...
Consider the reaction sequence below : <br><br><img src="https://gateclass.stati...
Which one of the following reagents is not suitable for the elimination reaction...
Fluorination of an aromatic ring is easily accomplished by treating a diazonium ...
The correct statement about the synthesis of erythritol (C(CH<sub>2</sub>OH)4) ...
Which of the following polymers is synthesized using a free radical polymerizati...
The “N” which does <b>not</b> contribute to the basicity for the compound is : <...
Which of the following is a bactericidal antibiotic ?
Observation of “Rhumann’s purple” is a confirmatory test for the presence of :

Mathematics

Let P = {$$\theta $$ : sin$$\theta $$ $$-$$ cos$$\theta $$ = $$\sqrt 2 \,\cos \...
If x is a solution of the equation, $$\sqrt {2x + 1} $$ $$ - \sqrt {2x - 1} = 1...
Let z = 1 + ai be a complex number, a &gt; 0, such that z<sup>3</sup> is a real...
Let A be a 3 $$ \times $$ 3 matrix such that A<sup>2</sup> $$-$$ 5A + 7I = 0 <br...
If &nbsp;&nbsp; A = $$\left[ {\matrix{ { - 4} &amp; { - 1} \cr 3 &amp; 1...
If the coefficients of x<sup>−2</sup> and x<sup>−4</sup> in the expansion of $${...
If &nbsp;&nbsp; $${{{}^{n + 2}C{}_6} \over {{}^{n - 2}{P_2}}}$$ = 11, then n sat...
Let a<sub>1</sub>, a<sub>2</sub>, a<sub>3</sub>, . . . . . . . , a<sub>n</sub>, ...
The sum $$\sum\limits_{r = 1}^{10} {\left( {{r^2} + 1} \right) \times \left( {r!...
$$\mathop {\lim }\limits_{x \to 0} \,{{{{\left( {1 - \cos 2x} \right)}^2}} \over...
Let a, b $$ \in $$ <b>R</b>, (a $$ \ne $$ 0). If the function <i>f</i> defined a...
Let f(x) = sin<sup>4</sup>x + cos<sup>4</sup> x. Then <i>f</i> is an increasing...
Let C be a curve given by y(x) = 1 + $$\sqrt {4x - 3} ,x &gt; {3 \over 4}.$$ If ...
The integral $$\int {{{dx} \over {\left( {1 + \sqrt x } \right)\sqrt {x - {x^2}}...
The value of the integral <br><br>$$\int\limits_4^{10} {{{\left[ {{x^2}} \right]...
A ray of light is incident along a line which meets another line, 7x − y + 1 = 0...
A straight line through origin O meets the lines 3y = 10 − 4x and 8x + 6y + 5 = ...
Equation of the tangent to the circle, at the point (1, −1), whose centre is the...
P and Q are two distinct points on the parabola, y<sup>2</sup> = 4x, with parame...
For x $$ \in $$ <b>R</b>, x $$ \ne $$ 0, if y(x) is a differentiable function s...
A hyperbola whose transverse axis is along the major axis of the conic, $${{{x^2...
The solution of the differential equation <br><br>$${{dy} \over {dx}}\, + \,{y \...
ABC is a triangle in a plane with vertices <br> A(2, 3, 5), B(−1, 3, 2) and C($$...
The number of distinct real values of $$\lambda $$ for which the lines <br><br>...
Let ABC be a triangle whose circumcentre is at P. If the position vectors of A, ...
The mean of 5 observations is 5 and their variance is 124. If three of the obser...
If&nbsp;&nbsp; A &gt; 0, B &gt; 0&nbsp;&nbsp; and &nbsp;&nbsp; A + B = $${\pi ...
An experiment succeeds twice as often as it fails. The probability of at least 5...
The angle of elevation of the top of a vertical tower from a point A, due east o...
The contrapositive of the following statement, <br><br>“If the side of a square...

Physics

A, B, C and D are four different physical quantities having different dimensio...
Concrete mixture is made by mixing cement, stone and sand in a rotating cylindri...
A particle of mass M is moving in a circle of fixed radius R in such a way that ...
An astronaut of mass m is working on a satellite orbiting the earth at a distanc...
A Carnot freezer takes heat from water at 0<sup>o</sup>C inside it and rejects i...
A toy-car, blowing its horn, is moving with a steady speed of 5 m/s, away from a...
Within a spherical charge distribution of charge density $$\rho $$(r), N equipot...
In an engine the piston undergoes vertical simple harmonic motion with amplitude...
A fighter plane of length 20 m, wing span (distance from tip of one wing to the ...
The resistance of an electrical toaster has a temperature dependence given by R(...
A conducting metal circular-wire-loop of radius r is placed perpendicular to a m...
Consider an electromagnetic wave propagating in vacuum. Choose the correct state...
A photoelectric surface is illuminated successively by monochromatic light of wa...
Two stars are 10 light years away from the earth. They are seen through a telesc...
A neutron moving with a speed ‘v’ makes a head on collision with a stationary hy...
A modulated signal C<sub>m</sub>(t) has the form C<sub>m</sub>(t) = 30 sin 300 $...
A particle of mass m is acted upon by a force F given by the empirical law F =$$...
The ratio (R) of output resistance r<sub>0</sub>, and the input resistance ri in...
A thin 1 m long rod has a radius of 5 mm. A force of 50 $$\pi $$kN is applied at...
To determine refractive index of glass slab using a travelling microscope, minim...
Velocity-time graph for a body of mass 10 kg is shown in figure. Work-done on th...
In the figure shown ABC is a uniform wire. If centre of mass of wire lies vertic...
A bottle has an opening of radius a and length b. A cork of length b and radius ...
Which of the following shows the correct relationship between the pressure ‘P’ a...
Figure shows a network of capacitors where the numbers indicates capacitances in...
Consider a thin metallic sheet perpendicular to the plane of the paper moving wi...
A hemispherical glass body of radius 10 cm and refractive index 1.5 is silvered ...
To get an output of 1 from the circuit shown in figure the input must be : <br><...
A realistic graph depicting the variation of the reciprocal of input resistance ...
A galvanometer has a 50 division scale. Battery has no internal resistance. It i...

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