Recent questions in JEEMAIN-2014

Let $\;A =\{ (x,y) : y^{2} \leq 4x \;, y-2x \leq -4\}\;$ . The area (in square units) of the region A is :

asked May 7, 2014 by yamini.v

0 answers

The integral $\;\int_{0}^{\large\frac{1}{2}} \large\frac{ln(1+2x)}{1+4x^{2}} dx\;$ , equals :

asked May 7, 2014 by yamini.v

0 answers

$\;\int \large\frac{sin^{8} x -cos^{8} x}{(1-2 sin^{2}x cos^{2} x)} dx\;$ is equal to :

asked May 7, 2014 by yamini.v

0 answers

If $\;f(x) = (\large\frac{3}{5})^{x}+ (\large\frac{4}{5})^{x}-1\;,x \in R \;$ , then the equation $\;f(x) =0\;$ has :

asked May 7, 2014 by yamini.v

1 answer

If the Rolle's theorem holds for the function $\;f(x) = 2x^{3}+ax^{2}+bx\;$ in the interval $\; [-1 ,1]\;$ for the point $\;c=\large\frac{1}{2}\;$ then the value of 2a+b is :

asked May 7, 2014 by yamini.v

1 answer

If $\;y=e^{nx}\;$ , then $\;(\large\frac{d^{2}y}{dx^{2}}) (\large\frac{d^{2} x}{dy^{2}})\;$ is equal to :

asked May 7, 2014 by yamini.v

0 answers

If $\;f(x)\;$ is continuous and $\;f(\large\frac{9}{2}) = \large\frac{2}{9}\;$ , then $\;\lim_{x}^{0} f(\large\frac{1-cos 3x}{x^{2}})\;$ is equal to :

asked May 7, 2014 by yamini.v

1 answer

If the sum $\; \large\frac{3}{1^{2}} + \large\frac{5}{1^{2} + 2^{2}} + \large\frac{7}{1^{2} + 2^{2} +3^{2}}+----+\;$ upto 20 terms is equal to $\;\large\frac{k}{21}\;$ , then k is equal to :

asked May 7, 2014 by yamini.v

1 answer

Given an A.P. whose terms are all positive integers . The sum its first nine terms is greater than 200 and less than 220 . If the second term in it is 12 , then its $\;4^{th}\;$ term is :

asked May 7, 2014 by yamini.v

1 answer

The sum of the digits in the unit's place of all the 4-digit numbers formed by using the numbers 3,4,5 and 6 , without repetition is :

asked May 7, 2014 by yamini.v

0 answers

The number of terms in the expression of $\;(1+x)^{101}\;(1+x^{2}-x)^{100}\;$ in powers of x is :

asked May 7, 2014 by yamini.v

0 answers

If B is $\;3 \times 3\;$ matrix such that $\;B^{2}=0\;$ then det. $[(I+B)^{50}-50B] \;$ is equal to :

asked May 7, 2014 by yamini.v

0 answers

If a,b,c are non - zero real numbers and if the system of equations $\;(a-1)x =y+z\;,(b-1)y=(z+x)\;,(c-1)z=x-y\;$ , has a non - trivial solution , then ab+bc+ca equals :

asked May 7, 2014 by yamini.v

0 answers

If $\;\large\frac{1}{\sqrt{\alpha}}\;$ and $\;\large\frac{1}{\sqrt{\beta}}\;$ are the roots of the equation , $\;ax^{2}+bx+c=0 \;(a \neq 0 , q ,b \in R)\;$ , then the equation , $\;x(x+b^{3}) + (a^{3}-3abx)=0\;$ has roots :

asked May 7, 2014 by yamini.v

1 answer

If equations $\;ax^{2}+bx+c=0\;, (a,b,c \in R\;, a \neq 0)\;$ and $\;2x^{2}+3x+4=0\;$ have a common root then $\;a : b: c\;$ equals :

asked May 7, 2014 by yamini.v

1 answer

Let $\;w(Im\;w \neq 0)\;$ be a complex number.Then the set of all complex numbers z satisfying the equation $\;w - w \overline{w}z=k(1-z)\;$ , for some real number k , is :

asked May 7, 2014 by yamini.v

0 answers

Let P be the relation defined on the set of all real numbers such that $\;P = \{ (a,b) : sec^{2}a - tan^{2} b=1\}$ . Then P is :

asked May 7, 2014 by yamini.v

0 answers

For the compounds $\;CH_{3}Cl \;,CH_{3}Br\; ,CH_{3}I\;$ and $\;CH_{3}F\;$ , the correct order of increasing C - halogen bond length is :

asked May 6, 2014 by yamini.v

0 answers

Which one of the following class of compounds is obtained by polymerization of acetylene ?

asked May 6, 2014 by yamini.v

0 answers

Which is the major product formed when acetone is heated with iodine and potassium hydroxide ?

asked May 6, 2014 by yamini.v

0 answers

In the hydroboration - oxidation reaction of propene with diborane , $\;H_{2}O_{2}\;$ and $\;NaOH\;$ the organic compound formed is :

asked May 6, 2014 by yamini.v

0 answers

Which one of the following reactions will not result in the formation of carbon - carbon bond :

asked May 6, 2014 by yamini.v

1 answer

The correct statement about the magnetic properties of $\;[Fe(CN)_{6}]^{3-}\;$ and $\;[FeF_{6}]^{3-}\;$ is : (Z=26)

asked May 6, 2014 by yamini.v

1 answer

The form of iron obtained from blast furnace is :

asked May 6, 2014 by yamini.v

0 answers

The number and type of bonds in $\;C_{2}^{2-}\;$ ion in $\;CaC_{2}\;$ are :

asked May 6, 2014 by yamini.v

0 answers

Which of the following has unpaired electron(s) ?

asked May 6, 2014 by yamini.v

1 answer

Which of the following is not formed when $\;H_{2}S\;$ reacts with acidic $\;K_{2}Cr_{2}O_{7}\;$ solution ?

asked May 6, 2014 by yamini.v

0 answers

An octahedral complex of $\;Co^{3+}\;$ is diamagnetic .The hybridisation involved in the formation of the complex is :

asked May 6, 2014 by yamini.v

0 answers

Chloro compound of vanadium has only spin magnetic momentum of 1.73 BM . This vanadium chloride has the formula : (at . no. of V=23)

asked May 6, 2014 by yamini.v

0 answers

The gas evolved on heating $\;CaF_{2}\;$ and $\;SiO_{2}\;$ with concentrated $\;H_{2}SO_{4}\;$ ,on hydrolysis gives a white gelatinous precipitate . The precipitate is :

asked May 6, 2014 by yamini.v

0 answers

The amount of oxygen in 3.6 moles of water is :

asked May 6, 2014 by yamini.v

1 answer

The standard enthalpy of formation of $\;NH_{3}\;$ is -46.0 kJ/mol . If the enthalpy of formation $\;H_{2}\;$ from its atoms is -436 kJ/mol and that of $\;N_{2}\;$ is -712 kJ/mol , the average bond enthalpy of N-H bond in $\;NH_{3}\;$ is :

asked May 6, 2014 by yamini.v

0 answers

The temperature at which oxygen molecules have the same root mean square speed as helium atoms have at 300 K is : (Atomic masses : He=4 u , O=16 u)

asked May 6, 2014 by yamini.v

0 answers

The energy of an electron in first Bohr orbit of H -atom is -13.6 eV .The energy value of electron in the excited state of $\;Li^{2+}\;$ is :

asked May 6, 2014 by yamini.v

1 answer

A current of 10.0 A flows for 2.00 h through an electrolytic cell containing a molten salt of metal X . This results in the decomposition of 0.250 mol of metal X at the cathode . The oxidation state of X in the molten salt is : (F=96,500 C)

asked May 6, 2014 by yamini.v

1 answer

The half-life period of a first order reaction is 15 minutes. The amount of substance left after one hour will be :

asked May 6, 2014 by yamini.v

1 answer

Dissolving 120 g of a compound of (mol .wt .60) in 1000 g of water gave a solution of density 1.12 g/mL . The molarity of the solution is :

asked May 6, 2014 by yamini.v

0 answers

At a certain temperature only $\;50 \%\;$ HI is disassociated into $\;H_{2}\;$ and $\;I_{2}\;$ at equilibrium . The equilibrium constant is :

asked May 6, 2014 by yamini.v

0 answers

The standard electrode potentials $\;(E^{0}_{\large\frac{M}{M}}+)\;$ of four metals A,B,C and D are -1.2 V ,0.6 V ,0.85 V and -0.76 V , respectively .The sequence of deposition of metals on applying potential is :

asked May 6, 2014 by yamini.v

0 answers

Van der waal's equation for a gas is stated as , $\;p=\large\frac{nRT}{V-nb}- a(\large\frac{n}{v})^{2}\;$ .This equation reduces to the perfect gas equation $\;p=\large\frac{nRT}{V}\;$ when ,

asked May 5, 2014 by yamini.v

1 answer

In a face centered cubic lattice atoms A are at the corner points and atoms B at the face centered points .If atom is missing from one of the face centered points, the formula of the ionic compound is :

asked May 5, 2014 by yamini.v

0 answers

An n-p-n transistor has three leads A,B and C . Connecting B and C by moist fingers A, to the positive lead of an ammeter , and C to the negative lead of the ammeter , one finds large deflection . Then A,B and C refer respectively to :

asked May 5, 2014 by yamini.v

0 answers

A transmitting antenna at the top of a tower has a height 32 m and the height of the receiving antenna is 50 m .What is the maximum distance between them for satisfactory communication in line of sight (LOS) mode ?

asked May 5, 2014 by yamini.v

2 answers

If the binding energy of the electron in a hydrogen atom is 13.6 eV , the energy required to remove the electron from the first exited state of $\;Li^{++}\;$ is :

asked May 5, 2014 by yamini.v

1 answer

For which of the following particles will it be most difficult to experimentally verify the de-Broglie relationship ?

asked May 3, 2014 by yamini.v

1 answer

The focal lengths of objective lens and eye lens of a Gallelian Telescope are respectively 30 cm and 3.0 cm . Telescope produces virtual , erect image of an object situated far away from it at least distance of distinct vision from the eye lens . In this condition , the magnifying power of the Gallelian Telescope should be :

asked May 3, 2014 by yamini.v

0 answers

A driver looking up through the water sees the outside world contained in a circular horizon .The refractive index of water is $\;\large\frac{4}{3}\;$ , and the diver's eyes are 15 cm below the surface water . Then the radius of the circle is :

asked May 3, 2014 by yamini.v

0 answers

When the rms voltages $\;V_{L}\;,V_{C}\;$ and $\;V_{R}\;$ are measured respectively across the inductor L , the capacitor C and the resistor R in a series LCR circuit connected to an AC source ,it is found that the ratio $\;V_{L} : V_{C} : V_{R} = 1 : 2: 3\;$ . If the rms voltage of the AC source is 100 V , then $\;V_{R}\;$ is close to :

asked May 3, 2014 by yamini.v

0 answers

The magnetic field of earth at the equator is approximately $\; 4 \times 10^{-5} \;T\;$ The radius of earth is $\;6.4 \times 10^{6}\;m\;$ .Then the dipole moment of the earth will be nearly of the order of :

asked May 3, 2014 by yamini.v

1 answer

The mid - points of two small magnetic dipoles of length d in end - on positions , are separated by a distance x, (x >> d) . The force between them is proportional to $\;x^{-n}\;$ where n is :

asked May 3, 2014 by yamini.v

0 answers

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