Recent questions in JEEMAIN PAST PAPERS

The x-coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as (0, 1), (1, 1) and (1, 0) is

asked Dec 11, 2018 by pady_1

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The equation of the circle passing through the foci of the ellipse $\frac{x^2}{16} + \frac{y^2}{9} = 1$, and having centre at (0, 3) is

asked Dec 11, 2018 by pady_1

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If $\displaystyle\int f (x) dx = \Psi (x)$, then $\displaystyle\int x^5 f (x^3) dx$ is equal to

asked Dec 11, 2018 by pady_1

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If $x, y, z$ are in A.P and $\tan^{-1}x. \tan^{-1}y$ and $\tan^{-1}z$ are also in A.P., then

asked Dec 11, 2018 by pady_1

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All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the students. Which of the following statistical measures will not change even after the grace marks were given ?

asked Dec 11, 2018 by pady_1

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A ray of light along $x + \sqrt{3}y = \sqrt{3}$ gets reflected upon reaching x-axis , the equation of the reflected rays is

asked Dec 11, 2018 by pady_1

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Given : A circle, $2x^2 + 2y^2 = 5 $ and a parabola. $y^2 = 4 \sqrt{5} x$. Statement - I : An equation of a common tangent to these curves is $y = x+\sqrt{5}$. Statement - II : If the line, $y = mx + \frac{\sqrt{5}}{m} (m \neq 0)$is their common tangent, then m satisfies $m^4 - 3m^2 +2 = $

asked Dec 11, 2018 by pady_1

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ABCD is a trapezium such that AB and CD are parallel and $BC \perp CD$. If $\angle{ADB} = \theta, \; BC = p$ and $CD = q$, then AB is equal to

asked Dec 11, 2018 by pady_1

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The circle passing through (1, -2) and touching the axis of $x$ at $(3, 0)$ also passes through the point

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In which of the following pairs of molecules/ions, both the species are not likely to exist?

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An organic compound A upon reacting with $NH_3$ gives B. On heating B gives C. C in presence of KOH reacts with $Br_2$ to give $CH_3CH_2NH_2$. A is

asked Dec 11, 2018 by pady_1

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Energy of an electron is given by $E= -2.178 \times 10^{18} J \bigg(\large\frac{Z^2}{n^2}\bigg)$. Wavelength of light required to excite an electron in an hydrogen atom from level $n = 1$ to $n = 2$ will be

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Compound (A), $C_8H_9Br$, gives a white precipitate when warmed with alcoholic $AgNO_3$. Oxidatiion of (A) gives a acid (B), $C_8H_6O_4$. (B) easily forms anhydride on heating. Identify the compound (A).

asked Dec 11, 2018 by pady_1

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Which of the following exists as covalent crystals in the solid state ?

asked Dec 11, 2018 by pady_1

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Consider the following reaction : $xMnO_4^- + yC_2O_4^{2-} + zH^+ \rightarrow xMn^{2+} + 2yCO_2 + \frac{z}{2}H_2O$ The values of $x, y$ and $z$ in the reaction are, respectively :

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The gas leaked from a storage tank of the Union Carbide plant in Bhopal gas tragedy was :

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For gaseous state, if most probable speed is denoted by $C^*$, average speed by $\overline{C}$ and mean square speed by C, then for a large number of molecules the ratios of these speeds are :

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Which of the following represents the correct order of increasing first ionisation enthalpy for Ca, Ba, S, Se and Ar ?

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The order of stability of the following carbocations : is

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A gaseous hydrocarbon given upon combustion 0.72 g of water and 3.08 g of $CO_2$. The empirical formula of the hydrocarbon is :

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A piston filled with 0.04 mol of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of $37.0^0C$. Ad it does so, it absorbs 208 J of heat. The values of q and w for the process will be : $(R = 8.314 \; J/mol\; K) \; (\ell n 7.5 = 2.01)$

asked Dec 11, 2018 by pady_1

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Which of the following complex species is not expected to exhibit optical isomerism ?

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Synthesis of each molecule of glucose in photosynthesis involves :

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The rate of a reaction doubles when its temperature changes from 300 K to 310 K. Activation energy of such a reaction will be : ($ R = 8.314 \; JK^{-1} mol^{-1}$ and $log\;2 = 0.301$)

asked Dec 11, 2018 by pady_1

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Arrange the following compounds in order of decreasing acidity :

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Given $E^0_{Cr^{3+}/Cr} = -0.74 \; V; \; E^0_{MnO_4^-/Mn^{2+}} = 1.51 \; V$ $E^0_{Cr_2O_7^{2-} / Cr^{3+}} = 1.33\; V; \;E^0_{Cl/Cl^-} = 1.36\; V$ Based on the data given abov, strongest oxidising agent will be :

asked Dec 11, 2018 by pady_1

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A compound with molecular mass 180 is acylated with $CH_2COCl$ to get a compound with molecular mass 390. The number of amino groups present per molecule of the former compound is :

asked Dec 11, 2018 by pady_1

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Experimentally it was found that a metal oxide has formula $M_{0.98}O$. Metal M, is present as $M^{2+}$ and $M^{3+}$ in its oxide. Fraction of the metal which exists as $M^{3+}$ would be :

asked Dec 11, 2018 by pady_1

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Which of the following arrangements does not represent the correct order of the property stated against it ?

asked Dec 11, 2018 by pady_1

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Which one of the following molecules is expected to exhibit diamagnetic behaviour ?

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How many litres of water must be added to 1 litre of an awueous solution of HCl with a pH of 1 to create an aqueous solution with pH of 2 ?

asked Dec 11, 2018 by pady_1

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The coagulating power of electrolytes having ions $Na^+, Al^{3+}$ and $Ba^{2+}$ for arsenic sulphide sol increases in the order :

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A solution of $(-) -1 - chloro - 1 - phenylethane$ is toluene racemises slowly in the presence of a small amount of $SbCl_5$, due to the formation of :

asked Dec 11, 2018 by pady_1

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Four successive members of the first row transition elements are listed with atomic numbers. Which one of them is expected to have the highest $E^0_{M^{3+}/M^{2+}}$ value ?

asked Dec 11, 2018 by pady_1

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Which of the following is the wrong statement ?

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The molrity of a solution obtained by mixing 750 mL of 0.5 (M) HCl with 250 mL of 2(M) HCl will be :

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Stability of the species $Li_2, Li_2^-$ and $Li_2^+$ increases in the order of :

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The first ionization potential of Na is 5.1 eV. The value of electron gain enthalpy of $Na^+$ will be :

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An unknown alcohol is treated with the "Lucas reagent" to determine the alcohol is primary, secondary or tertiary. Which alcohol reacts fastest and by what mechanism :

asked Dec 11, 2018 by pady_1

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The population $p(t)$ at time $t$ of a certain mouse species satisfies the differential equation $\frac{dp(t)}{dt} = 0.5\; p(t) -450$. If $p(0) = 850$, then the time at which the population becomes zero is

asked Dec 11, 2018 by pady_1

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In the given transformation, which of the following is the most appropriate reagent ?

asked Dec 11, 2018 by pady_1

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In which of the following pairs the two species are not isostructural ?

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Iodoform can be prepared from all except :

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2-Hexyne gives trans-2-Hexene on treatment with :

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The increasing order of he ionic radii of the given isoelectronic species is :

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What is DDT among the following :

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$K_f$ for water is $1.86 \;K\;mol^{-1}$. If your automobile radiator holds 1.0 kg of water, how many grams of ethylene glycol $(C_2H_6O_2)$ must you add to get the freezing point of the solution lowered to $-2.8^{\circ}C$ ?

asked Dec 11, 2018 by pady_1

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Which branched chain isomer of the hydrocarbon with molecular mass 72 u gives only one isomer of mono substituted alky halide ?

asked Dec 11, 2018 by pady_1

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The pH of a 0.1 molar solution of the acid HQ is 3. The value of the ionization constant, Ka of this acid is :

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Iron exhibits +2 and +3 oxidation states. Which of the following statements about iron is incorrect ?

asked Dec 11, 2018 by pady_1

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