Recent questions in JEEMAIN PAST PAPERS

The two curves $x^3 - 3xy^2 + 2 = 0$ and $3x^2y - y^3 - 2 =0$ :

asked Dec 11, 2018 by pady_1

0 answers

If $x^y = e^{x-y}$, then $\frac{dy}{dx}$ is :

asked Dec 11, 2018 by pady_1

0 answers

If $\sin y = x \sin (a + y) $, then $\frac{dy}{dx}$ is :

asked Dec 11, 2018 by pady_1

0 answers

The domain of definition of the function $f(x) = \sqrt{log_{10} (\frac{5x-x^2}{4})}$ is :

asked Dec 11, 2018 by pady_1

0 answers

The period of the function $f(x) = \sin^4 x + \cos^4 x$ is :

asked Dec 11, 2018 by pady_1

0 answers

$\begin{align} \int_{-\pi}^{\pi} \frac{2x ( 1+\sin x)} {1 + \cos^2 x} dx \end{align}$ is :

asked Dec 11, 2018 by pady_1

0 answers

$\begin{align}\int_0^2 [x^2] dx \end{align}$ is :

asked Dec 11, 2018 by pady_1

0 answers

$I_n = \begin{align} \int_0^{\pi/4} \tan^n x \; dx \end{align}$ then $\displaystyle\lim_{n \to \infty} n [I_n + I_{n+2} ]$ equals :

asked Dec 11, 2018 by pady_1

0 answers

$\begin{align} \int_0^{10 \pi} | \sin x |\; dx \end{align}$ is

asked Dec 11, 2018 by pady_1

0 answers

Fifth term of a GP is 2, then the product of its 9 terms is :

asked Dec 11, 2018 by pady_1

0 answers

The value of $2^{1/4}. 4^{1/8}. 8^{1/16}.....\infty$ is :

asked Dec 11, 2018 by pady_1

0 answers

The domain the $\sin^{-1} [\log_3 ( x/3)]$ is:

asked Dec 11, 2018 by pady_1

0 answers

$\displaystyle\lim_{x \to \infty}$ $\begin{pmatrix} \frac{x^2 + 5x + 3}{x^2 + x + 2} \end{pmatrix}^x$ is :

asked Dec 11, 2018 by pady_1

0 answers

The solution of the equation $\frac{d^2y}{dx^2} = e^{-2x}$ is

asked Dec 11, 2018 by pady_1

0 answers

A plane which passes through the point (3, 2, 0) and the line $\frac{x-4}{1} = \frac{y-7}{5} = \frac{z-4}{4} $ is :

asked Dec 11, 2018 by pady_1

0 answers

The order and degree of the differential equation $(1 + 3 \frac{dy}{dx})^{2/3} = 4 \frac{d^3y}{dx^3}$ are :

asked Dec 11, 2018 by pady_1

0 answers

$\cot^{-1} ( \cos \alpha ) - \tan^{-1} (\sqrt{\cos \alpha}) = x$ then $\sin x$ is equal to :

asked Dec 11, 2018 by pady_1

0 answers

In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class is 72, then what is the average of the girls ?

asked Dec 11, 2018 by pady_1

0 answers

A triangle with vertices (4, 0), (-1, -1), (3, 5) is :

asked Dec 11, 2018 by pady_1

0 answers

$\displaystyle\lim_{x \to 0} \frac{\sqrt{1-\cos 2x}}{\sqrt{2}x}$ is :

asked Dec 11, 2018 by pady_1

0 answers

$l, \; m, n$ are the $p^{th}, q^{th}$ and $r^{th}$ term of an GP and all positive, then $\begin{vmatrix} \log l & p & 1 \\ \log m & q&1 \\ \log n & r & 1 \end{vmatrix}$ equals :

asked Dec 11, 2018 by pady_1

0 answers

The period of $\sin^2 \theta$ is:

asked Dec 11, 2018 by pady_1

0 answers

A problem in mathematics is given to three students A, B, C and their respective probability of solving the problem is $\frac{1}{2}, \frac{1}{3}$ and $\frac{1}{4}$. Probability that the problem is solved, is :

asked Dec 11, 2018 by pady_1

0 answers

If 1, $\log_3 \sqrt{(3^{1-x} +2)}, \; \log_3 (4.3^x -1)$ are in AP, then $x$ equals :

asked Dec 11, 2018 by pady_1

0 answers

If $y = (x +\sqrt{1+x^2})^n $, then $(1+x^2) \frac{d^2y}{dx^2} + x \frac{dy}{dx}$ is :

asked Dec 11, 2018 by pady_1

0 answers

If $\alpha \neq \beta$ and $\alpha^2 = 5\alpha -3, \; \beta^2 = 5 \beta - 3$, then the equation having $\alpha/\beta$ and $\beta/\alpha$ as its roots, is :

asked Dec 11, 2018 by pady_1

0 answers

Picric acid is :

asked Dec 11, 2018 by pady_1

0 answers

Oxidation number of $Cl$ in $CaOCl_2$ (bleaching power) is :

asked Dec 11, 2018 by pady_1

0 answers

$SN^1$ reaction is feasible in :

asked Dec 11, 2018 by pady_1

0 answers

Maximum dehydration takes place that of :

asked Dec 11, 2018 by pady_1

0 answers

The metallic sodium dissolves in liquid ammonia to form a deep blue coloured solution. The deep blue colour is due to formation of :

asked Dec 11, 2018 by pady_1

0 answers

Select correct statement :

asked Dec 11, 2018 by pady_1

0 answers

A heat engine absorbs heat $q_1$ from a source at temperature $T_1$ and heat $q_2$ from a source at temperature $T_2$. Work done is found to be $J (q_1 +q_2)$. This is in accordance with :

asked Dec 11, 2018 by pady_1

0 answers

Conductivity (Seimen's S) is directly proportional to area of the vessel and the concentration of the soluion in it and is inversely proportional to the length of the vessel, then constant of proportionality is expressed in :

asked Dec 11, 2018 by pady_1

0 answers

Following types of compounds (as $I, II$) $(I) CH_3 CH = CH CH_3 $ (II) are studied in terms of isomerism in :

asked Dec 11, 2018 by pady_1

0 answers

$PCl_3$ and $PCl_5$ both exist; $NCl_3$ exists but $NCl_5$ does not exist. It is due to :

asked Dec 11, 2018 by pady_1

0 answers

In the followig benzyl/allyl system decreasing order of inductive effect is :

asked Dec 11, 2018 by pady_1

0 answers

On vigorous oxidation by permangnate solution $(CH_3)_2 C = CHCH_2CHO$ gives :

asked Dec 11, 2018 by pady_1

0 answers

Alum is widely used to purify water since :

asked Dec 11, 2018 by pady_1

0 answers

Rate constant $k$ of the first order reaction when initial concentration $C_0$ and concentration $C_t$ at time $t$ is given by equation $kt = \log C_0 - \log C_t$ Graph is a straight line if we plot :

asked Dec 11, 2018 by pady_1

0 answers

$H_2$ gas is absorbed on the metal surface like tungsten. This follows . . . . order reaction.

asked Dec 11, 2018 by pady_1

0 answers

pH of $0.005 \; M$ calcium acetate ($pK_a$ of $CH_3COOH = 4.74$) is :

asked Dec 11, 2018 by pady_1

0 answers

$Ce^{3+} , \; La^{3+}, \; Pm^{3+}$ and $Yb^{3+}$ have ionic radii in the increasing order as :

asked Dec 11, 2018 by pady_1

0 answers

Most common oxidation states of $Ce$ (Cerium) are :

asked Dec 11, 2018 by pady_1

0 answers

Increasing order of bond strength of $O_2, \; O_2^-, \; O_2^{2-}$ and $O_2^+$ is :

asked Dec 11, 2018 by pady_1

0 answers

Monomers are converted to polymer by :

asked Dec 11, 2018 by pady_1

0 answers

A reaction is non-spontaneous at the freezing point of water but is spontaneous at the boiling point of water then :

asked Dec 11, 2018 by pady_1

0 answers

Consider the following reactions at $1100^{\circ}C$ (I) $2C + O_2 \to 2CO, \; \; \; \; \Delta G^{\circ} = -460 \; k\;J\; mol^{-1}$ (II) $2Zn + O_2 \to 2ZnO, \; \; \; \; \Delta G^{\circ} = -360\; k\; J\; mol^{-1}$ Based on these, select correct alternate :

asked Dec 11, 2018 by pady_1

0 answers

Uncertainty in position of a particle of 25 g in space is $10^{-5}m$. Hence uncertainty in velocity $(ms^{-1})$ is (Planck's constant $h = 6.6 \times 10^{-34} Js$) :

asked Dec 11, 2018 by pady_1

0 answers

One of the following equilibria is not affected by change in volume of the flask :

asked Dec 11, 2018 by pady_1

0 answers

Ask Questions, Get Answers