JEE Advanced 2018 Paper 1 Offline

Paper was held on
Sat, May 19, 2018 9:00 PM

## Chemistry

The compounds(s) which generate(s) $${N_2}$$ gas upon thermal decomposition below $${300^ \circ }C$$ is (are)

View Question The correct statement(s) regarding the binary transition metal carbonyl compounds is(are) (Atomic numbers : $$Fe = 26,Ni

View Question Consider an ionic solid $$MX$$ with $$NaCl$$ structure. Construct a new structure $$(Z)$$ whose unit cell is constructed

View Question Among the species given below, the total number of diamagnetic species is _____________.
$$H$$ atom, $$N{O_2}$$ monomer,

View Question The ammonia prepared by treating ammonium sulphate with calcium hydroxide is completely used by $$NiCl{}_2.6{H_2}O$$ to

View Question For the electrochemical cell,
$$\left. {Mg\left( s \right)} \right|M{g^{2 + }}\left( {aq,1\,M} \right)\left\| {C{u^{2 +

View Question Based on the compounds of group $$15$$ elements, the correct statement(s) is (are)

View Question The reaction (s) leading to the formation of $$1,3,5$$-trimethylbenzene is (are)

View Question In the following reaction sequence, the correct structure(s) of $$X$$ is (are)

View Question A reversible cyclic process for an ideal gas is shown below. Here, $$P, V,$$ and $$T$$ are pressure, volume and temperat

View Question Liquids A and B form ideal solution over the entire range of composition. At temperature $$T,$$ equimolar binary soluti

View Question The solubility of a salt of weak acid $$(AB)$$ at $$pH\,$$ $$3$$ is $$Y \times {10^{ - 3}}$$ $$mol\,{L^{ - 1}}.$$ The v

View Question A closed tank has two compartments $$A$$ and $$B,$$ both filled with oxygen (assumed to be ideal gas). The partition sep

View Question The plot given below shows $$P-T$$ curves (where $$P$$ is the pressure and $$T$$ is the temperature) for two solvents $$

View Question An organic acid P $$\left( {{C_{11}}{H_{12}}{O_2}} \right)$$ can easily be oxidized to a dibasic acid which reacts with

View Question The compound $$Y$$ is

View Question An organic acid P $$\left( {{C_{11}}{H_{12}}{O_2}} \right)$$ can easily be oxidized to a dibasic acid which reacts with

View Question The compound $$Z$$ is

View Question ## Mathematics

For a non-zero complex number z, let arg(z) denote the principal argument with $$-$$ $$\pi $$ < arg(z) $$ \le $$ $$\p

View Question In a $$\Delta $$PQR = 30$$^\circ $$ and the sides PQ and QR have lengths 10$$\sqrt 3 $$ and 10, respectively. Then, whic

View Question Let P1 : 2x + y $$-$$ z = 3 and P2 : x + 2y + z = 2 be two planes. Then, which of the following statement(s) is(are) TR

View Question For every twice differentiable function $$f:R \to [ - 2,2]$$ with $${(f(0))^2} + {(f'(0))^2} = 85$$, which of the follow

View Question Let f : R $$ \to $$ R and g : R $$ \to $$ R be two non-constant differentiable functions. If f'(x) = (e(f(x) $$-$$ g(x))

View Question Let f : [0, $$\infty $$) $$ \to $$ R be a continuous function such that$$f(x) = 1 - 2x + \int_0^x {{e^{x - t}}f(t)dt} $$

View Question The value of $${({({\log _2}9)^2})^{{1 \over {{{\log }_2}({{\log }_2}9)}}}} \times {(\sqrt 7 )^{{1 \over {{{\log }_4}7}}

View Question The number of 5 digit numbers which are divisible by 4, with digits from the set {1, 2, 3, 4, 5} and the repetition of d

View Question Let X be the set consisting of the first 2018 terms of the arithmetic progression 1, 6, 11, ...., and Y be the set consi

View Question The number of real solutions of the equation $$\eqalign{
& {\sin ^{ - 1}}\left( {\sum\limits_{i = 1}^\infty {} {x

View Question For each positive integer n, let $${y_n} = {1 \over n}(n + 1)(n + 2)...{(n + n)^{{1 \over n}}}$$. For x$$ \in $$R, let [

View Question Let a and b be two unit vectors such that a . b = 0. For some x, y$$ \in $$R, let $$\overrightarrow c = x\overrightarro

View Question Let a, b, c three non-zero real numbers such that the equation $$\sqrt 3 a\cos x + 2b\sin x = c,x \in \left[ { - {\pi \

View Question A farmer F1 has a land in the shape of a triangle with vertices at P(0, 0), Q(1, 1) and R(2, 0). From this land, a neigh

View Question Let S be the circle in the XY-plane defined the equation x2 + y2 = 4.Let E1E2 and F1F2 be the chords of S passing throug

View Question Let S be the circle in the XY-plane defined the equation x2 + y2 = 4.Let P be a point on the circle S with both coordina

View Question There are five students S1, S2, S3, S4 and S5 in a music class and for them there are five seats R1, R2, R3, R4 and R5 a

View Question There are five students S1, S2, S3, S4 and S5 in a music class and for them there are five seats R1, R2, R3, R4 and R5 a

View Question ## Physics

The potential energy of a particle of mass $$m$$ at a distance $$r$$ from a fixed point $$O$$ is given by $$V\left( r \r

View Question Consider a body of mass $$1.0$$ $$kg$$ at rest at the origin at time $$t=0.$$ A force $$\overrightarrow F = \left( {\al

View Question A uniform capillary tube of inner radius $$r$$ is dipped vertically into a beaker filled with water. The water rises to

View Question Two infinitely long straight wires lie in the $$xy$$-plane along the lines $$x = \pm R.$$ The wire located at $$x = +

View Question Two men are walking along a horizontal straight line in the same direction. The man in front walks at a speed $$1.0\,m{s

View Question A spring-block system is resting on a frictionless floor as shown in the figure. The spring constant is $$2.0\,N{m^{ - 1

View Question One mole of a monatomic ideal gas undergoes a cyclic process as shown in the figure (where $$V$$ is the volume and $$T$$

View Question Two vectors $$\overrightarrow A $$ and $$\overrightarrow B $$ are defined as $$\overrightarrow A $$ $$=$$ $$a\widehat i

View Question A ring and disc are initially at rest, side by side, at the top of an inclined plane which makes an angle $${60^ \circ

View Question Three identical capacitors $${C_1},{C_2}$$ and $${C_3}$$ have a capacitance of $$1.0\,\mu F$$ each and they are unchange

View Question In the figure below, the switches $${S_1}$$ and $${S_2}$$ are closed simultaneously at $$t=0$$ and a current starts to f

View Question In the $$xy$$-plane, the region $$y > 0$$ has a uniform magnetic field $${B_1}\widehat k$$ and the region $$y < 0$

View Question Two conducting cylinders of equal length but different radii are connected in series between two heat baths kept at temp

View Question Sunlight of intensity $$1.3$$ $$kW\,{m^{ - 2}}$$ is incident normally on a thin convex lens of focal length $$20$$ cm. I

View Question In electromagnetic theory, the electric and magnetic phenomena are related to each other. Therefore, the dimensions of e

View Question In electromagnetic theory, the electric and magnetic phenomena are related to each other. Therefore, the dimensions of e

View Question If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any

View Question If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any

View Question