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JEE Main 2017 (Offline)

Exam Held on Sun Apr 02 2017 09:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

1 gram of a carbonate (M<sub>2</sub>CO<sub>3</sub>) on treatment with excess HCl...
A metal crystallises in a face centred cubic structure. If the edge length of it...
Which of the following species is <b>not</b> paramagnetic?
The radius of the second Bohr orbit for hydrogen atom is:<br> (Planck’s Const. h...
The most abundant elements by mass in the body of a healthy human adult are: Oxy...
Given, $${C_{(graphite)}} + {O_2} \to C{O_2}(g)$$;<br> $${\Delta _r}{H^o}$$ = - ...
The group having isoelectronic species is:
$$\Delta $$U is equal to
The freezing point of benzene decreases by 0.45<sup>0</sup>C when 0.2 g of aceti...
Two reactions R<sub>1</sub> and R<sub>2</sub> have identical pre-exponential fac...
Given<br> $$E_{C{l_2}/C{l^ - }}^o$$ = 1.36 V, $$E_{C{r^{3 + }}/Cr}^o$$ = - 0.74 ...
Which of the following reactions is an example of a redox reaction?
pK<sub>a</sub> of a weak acid (HA) and pK<sub>b</sub> of a weak base (BOH) are 3...
The Tyndall effect is observed only when following conditions are satisfied:<br>...
Both lithium and magnesium display several similar properties due to the diagona...
On treatment of 100 mL of 0.1 M solution of CoCl<sub>3</sub>. 6H<sub>2</sub>O wi...
In the following reactions, ZnO is respectively acting as a/an:<br><br> (a) ZnO ...
The products obtained when chlorine gas reacts with cold and dilute aqueous NaOH...
A water sample has ppm level concentration of following anions<br> F<sup>-</sup>...
Which of the following molecules is least resonance stabilized?
Which of the following compounds will form significant amount of meta product du...
The increasing order of the reactivity of the following halides for the S<sub>N<...
Which of the following, upon treatment with <i>tert</i>-BuONa followed by additi...
3-Methyl-pent-2-ene on reaction with HBr in presence of peroxide forms an additi...
The major product obtained in the following reaction is : <img class="question-i...
Sodium salt of an organic acid ‘X’ produces effervescence with conc. H<sub>2</su...
The major product obtained in the following reaction is : <img class="question-i...
The correct sequence of reagents for the following conversion will be : <img cla...
The formation of which of the following polymers involves hydrolysis reaction?
Which of the following compounds will behave as a reducing sugar in an aqueous K...

Mathematics

The function $$f:R \to \left[ { - {1 \over 2},{1 \over 2}} \right]$$ defined as ...
Let $$\omega $$ be a complex number such that 2$$\omega $$ + 1 = z where z = $$\...
If $$A = \left[ {\matrix{ 2 &amp; { - 3} \cr { - 4} &amp; 1 \cr } } ...
If S is the set of distinct values of 'b' for which the following system of line...
If for a positive integer n, the quadratic equation <br><br>$$x\left( {x + 1} \r...
A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7...
The value of $$\left( {{}^{21}{C_1} - {}^{10}{C_1}} \right) + \left( {{}^{21}{C_...
Let $$a$$, b, c $$ \in R$$. If $$f$$(x) = ax<sup>2</sup> + bx + c is such that <...
For any three positive real numbers a, b and c, <br><br>9(25$${a^2}$$ + b<sup>2<...
$$\mathop {\lim }\limits_{x \to {\pi \over 2}} {{\cot x - \cos x} \over {{{\lef...
If for $$x \in \left( {0,{1 \over 4}} \right)$$, the derivatives of <br><br>$${\...
The normal to the curve y(x – 2)(x – 3) = x + 6 at the point where the curve int...
Twenty meters of wire is available for fencing off a flower-bed in the form of a...
The integral $$\int\limits_{{\pi \over 4}}^{{{3\pi } \over 4}} {{{dx} \over {1 ...
Let $${I_n} = \int {{{\tan }^n}x\,dx} ,\,\left( {n &gt; 1} \right).$$ <br><br>If...
The area (in sq. units) of the region <br><br>$$\left\{ {\left( {x,y} \right):x ...
If $$\left( {2 + \sin x} \right){{dy} \over {dx}} + \left( {y + 1} \right)\cos x...
Let k be an integer such that the triangle with vertices (k, – 3k), (5, k) and (...
A hyperbola passes through the point P$$\left( {\sqrt 2 ,\sqrt 3 } \right)$$ and...
If the image of the point P(1, –2, 3) in the plane, 2x + 3y – 4z + 22 = 0 measur...
The distance of the point (1, 3, – 7) from the plane passing through the point (...
The eccentricity of an ellipse whose centre is at the origin is $${1 \over 2}$$....
The radius of a circle, having minimum area, which touches the curve y = 4 – x<s...
Let $$\overrightarrow a = 2\widehat i + \widehat j -2 \widehat k$$ and $$\overr...
A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one...
If two different numbers are taken from the set {0, 1, 2, 3, ........, 10}; then...
For three events A, B and C, <br><br>P(Exactly one of A or B occurs) <br>= P(Exa...
If $$5\left( {{{\tan }^2}x - {{\cos }^2}x} \right) = 2\cos 2x + 9$$, <br><br>the...
Let a vertical tower AB have its end A on the level ground. Let C be the mid-poi...
The following statement <br><br>$$\left( {p \to q} \right) \to \left[ {\left( { ...

Physics

A body is thrown vertically upwards. Which one of the following graphs correctly...
A time dependent force F = 6t acts on a particle of mass 1 kg. If the particle s...
A body of mass m = 10<sup>–2</sup> kg is moving in a medium and experiences a fr...
The moment of inertia of a uniform cylinder of length $$l$$ and radius R about i...
A slender uniform rod of mass M and length $$l$$ is pivoted at one end so that i...
A man grows into a giant such that his linear dimensions increase by a factor of...
A copper ball of mass 100 gm is at a temperature T. It is dropped in a copper ca...
The variation of acceleration due to gravity $$g$$ with distance d from centre o...
An external pressure P is applied on a cube at 0<sup>o</sup>C so that it is equa...
The temperature of an open room of volume 30 m<sup>3</sup> increases from 17<sup...
C<sub>P</sub> and C<sub>v</sub> are specific heats at constant pressure and cons...
A particle is executing simple harmonic motion with a time period T. At time t =...
A capacitance of 2 $$\mu $$F is required in an electrical circuit across a poten...
An electric dipole has a fixed dipole moment $$\overrightarrow p $$, which makes...
In the given circuit diagram when the current reaches steady state in the circui...
Which of the following statements is <b>false</b>?
<img class="question-image" src="https://gateclass.cdn.examgoal.net/99TztStPekZX...
A magnetic needle of magnetic moment 6.7 $$\times$$ 10<sup>-2</sup> A m<sup>2</s...
When a current of 5 mA is passed through a galvanometer having a coil of resista...
In a coil of resistance 100 $$\Omega $$, a current is induced by changing the ma...
In a Young’s double slit experiment, slits are separated by 0.5 mm, and the scre...
An observer is moving with half the speed of light towards a stationary microwav...
A diverging lens with magnitude of focal length 25 cm is placed at a distance of...
An electron beam is accelerated by a potential difference V to hit a metallic ta...
A particle A of mass m and initial velocity v collides with a particle B of mass...
Some energy levels of a molecule are shown in the figure. The ratio of the wavel...
A radioactive nucleus A with a half life T, decays into a nucleus B. At t = 0, t...
In amplitude modulation, sinusoidal carrier frequency used is denoted by $${\ome...
In a common emitter amplifier circuit using an n-p-n transistor, the phase diffe...
The following observations were taken for determining surface tension T of water...

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