Solved papers for JEE Main & Advanced AIEEE Solved Paper-2007
done AIEEE Solved Paper-2007 Total Questions - 120
question_answer1) The displacement of an object attached to a spring and executing simple harmonic motion is given by\[2x+3y+z=1\]\[x+3y+2z=2\] metre. The time at which the maximum speed first occurs is
AIEEE Solved Paper-2007
question_answer2) In an AC circuit, the voltage applied is\[cos\text{ }\alpha \] \[1/\sqrt{3}\]The resulting current in the circuit is\[1/\sqrt{2}\]. The power consumption in the circuit is given by
AIEEE Solved Paper-2007
question_answer3) An electric charge\[{{y}^{2}}={{x}^{2}}-2xy\frac{dy}{dx}\]is placed at the origin (0, 0) of X-Y coordinate system. Two points A and B are situated at\[{{p}^{2}}+{{q}^{2}}=1,\]and (2, 0) respectively. The potential difference between the points A and B will be
AIEEE Solved Paper-2007
question_answer4) A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the electromotive force of the battery. The ratio of the energy stored in the capacitor and the work done by the battery, will be
AIEEE Solved Paper-2007
question_answer5) An ideal coil of 10 H is connected in series with a resistance of \[\frac{1}{\sqrt{2}}\] and a battery of 5 V. After 2 s, the connection is made, the current flowing (in ampere) in the circuit is
AIEEE Solved Paper-2007
question_answer6) A long straight wire of radius a carries a steady current i. The current is uniformly distributed across its cross-section. The ratio of the magnetic field at\[2a/\sqrt{3}\]and\[2a\sqrt{3}\]is
AIEEE Solved Paper-2007
question_answer7) A current\[^{20}{{C}_{0}}{{-}^{20}}{{C}_{1}}{{+}^{20}}{{C}_{2}}{{-}^{20}}{{C}_{3}}+....{{+}^{20}}{{C}_{10}}\]flows along the length of an infinitely long, straight, thin walled pipe. Then,
AIEEE Solved Paper-2007
A)
The magnetic field is zero only on the axis of the pipe
doneclear
B)
The magnetic field is different at different points inside the pipe
doneclear
C)
The magnetic field at any point inside the pipe is zero
doneclear
D)
The magnetic field at all points inside the pipe is the same, but not zero
question_answer8) If\[{{-}^{20}}{{C}_{10}}\]is the mass of an oxygen isotope\[\frac{1}{2}{{\,}^{20}}{{C}_{10}}\]and\[^{20}{{C}_{10}}\]are the masses of a proton and a neutron respectively, the nuclear binding energy of the isotope is
AIEEE Solved Paper-2007
question_answer10) If in a\[x\ne 0\]junction diode, a square input signal of 10 V is applied as shown Then, the output signal across \[{{R}_{L}}\] will be
AIEEE Solved Paper-2007
question_answer12) The velocity of a particle is\[x\]If its position is\[x\]at\[\frac{{{x}^{2}}}{{{\cos }^{2}}\alpha }-\frac{{{y}^{2}}}{{{\sin }^{2}}\alpha }=1,\]then its displacement after unit time\[\frac{\pi }{4}\]is
AIEEE Solved Paper-2007
question_answer14) A point mass oscillates along the x-axis according to the law\[{{\log }_{3}}e\].If the acceleration of the particle is written as \[{{\log }_{e}}3\]then
AIEEE Solved Paper-2007
question_answer15) Charges are placed on the vertices of a square as shown. Let \[\vec{E}\] be the electric field and V be the potential at the centre. If the charges on A and B are interchanged with those on D and C respectively, then
AIEEE Solved Paper-2007
question_answer16) The half-life period of a radioactive element X is same as the mean life time of another radioactive element Y. Initially, they have the same number of atoms. Then,
AIEEE Solved Paper-2007
question_answer17) A Carnot engine, having an efficiency of \[\eta =1/10\] as heat engine, is used as a refrigerator. If the work done on the system is 10 J, the amount of energy absorbed from the reservoir at lower temperature is
AIEEE Solved Paper-2007
question_answer18) Carbon, silicon and germanium have four valence electrons each. At room temperature, which one of the following statements is most appropriate?
A)
The number of free conduction electrons is significant in C but small in Si and\[A=\left[ \begin{matrix} 5 & 5\alpha & \alpha \\ 0 & \alpha & 5\alpha \\ 0 & 0 & 5 \\ \end{matrix} \right]\]
doneclear
B)
The number of free conduction electrons is negligibly small in all the three
doneclear
C)
The number of free electrons for conduction is significant in all the three
doneclear
D)
The number of free electrons for conduction is significant only in\[|{{A}^{2}}|=25,\]and\[{{5}^{2}}\]but small in C
question_answer19) A charged particle with charge g enters a region of constant, uniform and mutually orthogonal fields \[\vec{E}\] and \[\vec{B}\] with a velocity v perpendicular to both \[\vec{E}\] and \[\vec{B}\] and comes out without any change in magnitude or direction of v. Then,
AIEEE Solved Paper-2007
question_answer20) The potential at a point x (measured in\[{{e}^{-\frac{1}{2}}}\]due to some charges situated on the x-axis is given by\[{{e}^{+\frac{1}{2}}}\]volt. The electric field E at \[x=4\,\mu m\] is given by
AIEEE Solved Paper-2007
A)
\[{{\tan }^{-1}}\frac{b}{ac}\]and in the -ve\[45{}^\circ \]direction
doneclear
B)
\[{{\tan }^{-1}}\frac{bc}{a(c-a)}\]and in the +ve\[{{\tan }^{-1}}\frac{bc}{a}\]direction
doneclear
C)
\[{{y}^{2}}=8x\]and in the -ve\[y=x+2\]direction
doneclear
D)
\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-6x-12y-2\text{ }z+20=0,\]and in the +ve\[a=\hat{i}+\hat{j}+\hat{k},b=\hat{i}-\hat{j}+2\hat{k}\]direction
question_answer22) A block of mass m is connected to another block of mass M by a spring (massless) of spring constant k. The blocks are kept on a smooth horizontal plane. Initially the blocks are at rest and' the spring is unstretehed. Then, a constant force F starts acting on the block of mass M to pull it; Find the force on the block of mass m.
AIEEE Solved Paper-2007
question_answer24) One end of a thermally insulated rod is kept at a temperature\[m{{y}^{2}}+(1-{{m}^{2}})xy-m{{x}^{2}}=0\]and the other at\[xy=0,\]. The rod is composed of two sections of lengths\[-\frac{1}{2}\]and\[-2\] and thermal conductivities \[{{K}_{1}}\] and \[{{K}_{2}}\] respectively. The temperature at the interface of the two sections is
AIEEE Solved Paper-2007
question_answer26) If\[min\{x+1,|~x|+1\}\]and\[f\{x\}\ge 1\]denote the specific heats of nitrogen per unit mass at constant pressure and constant volume respectively, then
AIEEE Solved Paper-2007
question_answer28) Two identical conducting wires AOB and COD are placed at right angles to each other. The wire AOB carries an electric current\[f(x)\]and COD carries a current\[x=0\]. The magnetic field on a point lying at a distance d from O, in a direction perpendicular to the plane of the wires AOB and COD, will be given by
AIEEE Solved Paper-2007
question_answer29) The resistance of a wire is\[\int_{\sqrt{2}}^{x}{\frac{dt}{t\sqrt{{{t}^{2}}-1}}}=\pi /2\] at\[\pi \]and \[\sqrt{3}/2\],at\[2\sqrt{2}\] The resistance of the wire at \[\int{\frac{dx}{\cos x+\sqrt{3}\sin x}}\] will be
AIEEE Solved Paper-2007
question_answer30) A parallel plate ' condenser with a dielectric of dielectric constant K between the plates has a capacity C and is charged to a potential V volts. The dielectric slab is slowly removed from between the plates and then reinserted. The net work done by the system in this process is
AIEEE Solved Paper-2007
question_answer31) If\[\frac{1}{6}\]arid\[\frac{1}{3}\]are the accelerations due to gravity on the surfaces of the earth and the moon respectively and if Millikan's oil drop experiment could be performed on the two surfaces, one will find the ratio \[{{x}^{2}}+ax+1=0\]to be
AIEEE Solved Paper-2007
question_answer32) A circular disc of radius R is removed from a bigger circular disc of radius 2R, such that the circumference of the discs coincide. The centre of mass of the new disc is\[(3,\infty )\]from the centre of the bigger disc. The value of \[\alpha \] is
AIEEE Solved Paper-2007
question_answer33) A round uniform body of radius R, mass M and moment of inertia\[x=2\text{ }cm\]rolls down (without slipping) an inclined plane making an angle \[\theta \] with the horizontal. Then, its acceleration is
AIEEE Solved Paper-2007
question_answer35) A 2 kg block slides on a horizontal floor with a speed of 4 m/s. It strikes a uncompressed spring and compresses it till the block is motionless. The kinetic friction force is 15 N and spring constant is 10000 N/m. The spring compresses by
AIEEE Solved Paper-2007
question_answer36) A particle is projected at\[T=2s\]to the horizontal with a kinetic energy K. The kinetic energy at the highest point is
AIEEE Solved Paper-2007
question_answer37) In a Young's double-slit experiment, the intensity at a point where the path difference is\[=\frac{T}{4}=\frac{2}{4}=0.5s\] (\[\pi /2\]being the wavelength of the light used), is\[{{v}_{a}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{({{10}^{-3}})}{OA}\]. If\[=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{({{10}^{-3}})}{\sqrt{{{(\sqrt{2})}^{2}}+{{(\sqrt{2})}^{2}}}}\]denotes the maximum intensity, \[{{V}_{B}}=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{({{10}^{-3}})}{OB}\]is equal to
AIEEE Solved Paper-2007
question_answer38) Two springs, of force constants\[{{I}_{0}}=\frac{E}{R}=\frac{5}{5}=1\,A\]and\[\tau =\frac{L}{R}=\frac{10}{5}=2\,s\]are connected to a mass m as shown. The frequency of oscillation of the mass is \[f\]. If both\[(\therefore -t/\tau =\frac{-2}{2}=-1)\]and\[J=\frac{i}{\pi {{a}^{2}}}\]are made four times their original values, the frequency of. oscillation becomes
AIEEE Solved Paper-2007
question_answer39) When a system is taken from state\[E={{E}_{0}}\]to state f along the path \[iaf,\] it is found that\[sin\text{ }\omega t\] and\[I={{I}_{0}}\sin \left( \omega t-\frac{\pi }{2} \right)\]. Along the path ibf, \[p=\frac{{{E}_{0}}{{I}_{0}}}{\sqrt{2}}\]cal. W along the path \[ibf\] is
AIEEE Solved Paper-2007
question_answer40) A particle of mass m executes simple harmonic motion with amplitude a and frequency v. The average kinetic energy during its motion from the position of equilibrium to the end is
AIEEE Solved Paper-2007
question_answer41) The energies of activation for forward and reverse reactions for \[\frac{1}{4}\] are \[\frac{1}{2}\]and\[5\,\Omega \]respectively. The presence of a catalyst lowers the activation energy of both (forward and reverse) reactions by\[(1-e)\] The enthalpy change of the reaction \[({{A}_{2}}-{{B}_{2}}\,\to 2\,\,AB)\] in the presence of catalyst will be (in\[(1-{{e}^{-1}})\])
AIEEE Solved Paper-2007
question_answer42) The\[\frac{a}{2}\]\[2a\]was allowed to be completely discharged at 298 K. The relative concentration of\[\frac{1}{4}\]to\[\frac{1}{2}\]\[I\]is
AIEEE Solved Paper-2007
question_answer43) The\[{{M}_{n}}\]of a weak acid (H A) is 4.5. The\[({{M}_{O}}-8{{M}_{p}}){{c}^{2}}\] of an aqueous buffered solution of HA in which 50% of the acid ionized is
AIEEE Solved Paper-2007
question_answer44) Consider the reaction, \[2A+B\to \] products When concentration of B alone was doubled, the half-life did not change. When the concentration of A alone was doubled, the rate increased by two times. The unit of rate constant for this reaction is
AIEEE Solved Paper-2007
question_answer50) In the chemical reaction, \[{{V}_{0}}+g/2+f\] \[\sqrt{2}{{I}_{AC}}={{I}_{EF}}\]the compounds (A) and (B) are respectively
AIEEE Solved Paper-2007
question_answer51) The reaction of toluene with\[A={{x}_{0}}{{\omega }^{2}},\text{ }\delta =3\pi /4\]in the presence of \[FeC{{l}_{3}}\] gives predominantly
AIEEE Solved Paper-2007
question_answer53) In which of the following ionization processes, the bond order has, increased and the magnetic behaviour has changed?
AIEEE Solved Paper-2007
question_answer55) Equal masses of methane and oxygen are mixed in an empty container at\[\frac{5}{3}V/\mu m\]. The fraction of the total pressure exerted by oxygen is
AIEEE Solved Paper-2007
question_answer56) A 5.25% solution of a substance is isotonic with a 1.5% solution of urea (molar mass \[=60\,g\,mo{{l}^{-1}}\]) in the same solvent. If the densities of both the solutions are assumed to be equal to\[x\] the molar mass of the substance will be
AIEEE Solved Paper-2007
question_answer57) Assuming that water vapour is an ideal gas, the internal energy change(\[\frac{mF}{(m+M)}\])when 1 mole of water is vapourised at 1 bar pressure and\[\frac{MF}{(m+M)}\](Given : molar enthalpy of vaporisation of water at 1 bar and 373\[-20cm\]and\[-10cm\])will be
AIEEE Solved Paper-2007
question_answer58) In a saturated solution of the sparingly soluble strong electrolyte\[{{l}_{1}}\] (Molecular mass =283), the equilibrium which sets in, is \[{{l}_{2}}\] If the solubility product constant, \[{{k}_{1}}\]of\[{{k}_{2}},\]at a given temperature is\[({{K}_{2}}{{l}_{2}}{{T}_{1}}+{{K}_{1}}{{l}_{1}}{{T}_{2}})/({{K}_{1}}{{l}_{1}}+{{K}_{2}}{{l}_{2}})\] what is the mass of \[({{K}_{2}}{{l}_{1}}{{T}_{1}}+{{K}_{1}}{{l}_{2}}{{T}_{2}})/({{K}_{2}}{{l}_{1}}+{{K}_{1}}{{l}_{2}})\]contained in 100 mL of its saturated solution?
AIEEE Solved Paper-2007
question_answer59) A radioactive element gets spilled over the floor of a room. Its half-life period is 30 days. If the initial activity is ten times the permissible value, after how many days will it be safe to enter the room?
AIEEE Solved Paper-2007
question_answer61) Which of the following is the correct order of decreasing\[{{C}_{p}}-{{C}_{y}}=R/28\]reactivity? (\[{{C}_{p}}-{{C}_{v}}=R/14\]halogen)
AIEEE Solved Paper-2007
question_answer62) In the following sequence of reactions \[\frac{{{\mu }_{0}}}{2\pi }{{\left( \frac{{{I}_{1}}+{{I}_{2}}}{d} \right)}^{1/2}}\] \[\frac{{{\mu }_{0}}}{2\pi d}{{(I_{1}^{2}+I_{2}^{2})}^{1/2}}\] the compound 'D' is
AIEEE Solved Paper-2007
question_answer65) In the reaction, \[1\,\Omega \] \[4\,\Omega \]
AIEEE Solved Paper-2007
A)
\[3\,\Omega \] is consumed for every\[\frac{1}{2}(K-1)C{{V}^{2}}\] produced
doneclear
B)
\[C{{V}^{2}}(K-1)/K\]is' produced regardless of temperature and pressure for every mole of\[(K-1)C{{V}^{2}}\]that reacts
doneclear
C)
\[{{g}_{E}}\] at STP is produced for every mole of\[{{g}_{M}}\]that reacts
doneclear
D)
\[\frac{electronic\text{ }charge\text{ }on\text{ }the\text{ }moon}{electronic\text{ }charge\text{ }on\text{ }the\text{ }earth}\]at STP is produced for every mole of\[{{g}_{E}}/{{g}_{M}}\]consumed
question_answer69) The equivalent conductances of two strong electrolytes at infinite dilution in\[\frac{1}{3}\] (where ions move freely through a solution) at\[\frac{1}{2}\]are given below \[\frac{1}{6}\] \[\frac{1}{4}\] What additional information/quantity one needs to calculate\[I,\]of an aqueous solution of acetic acid?
AIEEE Solved Paper-2007
Silicon reacts with\[f/2\]in the presence of air to give\[f/4\]and\[4f\]
doneclear
C)
\[2f\]reacts with excess of\[i\]to give\[\text{Q}=50\text{ }cal\]and\[W=20\text{ }cal\]
doneclear
D)
\[Q=36\]reacts with hot and strong\[{{\pi }^{2}}m{{a}^{2}}{{v}^{2}}\]solution to give\[\frac{1}{4}m{{a}^{2}}{{v}^{2}}\]and\[4{{\pi }^{2}}m{{a}^{2}}{{v}^{2}}\]
question_answer76) The charge/size ratio of a cation determines its polarizing power. Which one of the following sequences represents the increasing order of the polarizing power of the cationic species: \[2{{\pi }^{2}}m{{a}^{2}}{{v}^{2}}\]
AIEEE Solved Paper-2007
question_answer77) The density (in\[({{A}_{2}}+{{B}_{2}}\xrightarrow[{}]{{}}2AB)\]) of a 3.60 M sulphuric acid solution that is 29%\[kJ\text{ }mo{{l}^{-1}}\] (molar mass\[Zn|Z{{n}^{2+}}(1M)||C{{u}^{2+}}(1M)|Cu\]) by mass will be
AIEEE Solved Paper-2007
question_answer78) The first and second dissociation constants of an acid \[(E_{cell}^{o}=1.10V),\] are\[Z{{n}^{2+}}\]and \[C{{u}^{2+}}\] respectively. The overall dissociation constant of the acid will be
AIEEE Solved Paper-2007
question_answer79) A mixture of ethyl alcohol and propyl alcohol has a vapour pressure of 290 mm at 300 K. The vapour pressure of propyl alcohol is 200 mm. If the mole fraction of ethyl alcohol is 0.6, its vapour pressure (in mm) at the same temperature will be
AIEEE Solved Paper-2007
question_answer80) In conversion of limestone to lime, \[pOH\] the values of\[2A+B\xrightarrow[{}]{{}}products\]and\[L\,mo{{l}^{-1}}{{s}^{-1}}\]are\[mol\,{{L}^{-1}}{{s}^{-1}}\]\[{{s}^{-1}}\]and\[Co=27,Ni=28,Fe=26,Pt=78\]respectively at 298 K and 1 bar. Assuming that\[{{[COC{{l}_{4}}]}^{2-}}\]and\[{{[FeC{{l}_{4}}]}^{2-}}\]do not change with temperature, temperature above which conversion of limestone to lime will be spontaneous is
AIEEE Solved Paper-2007
question_answer81) In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then, the common ratio of this progression equals
AIEEE Solved Paper-2007
question_answer82) If\[C{{H}_{3}}CH\equiv CHBr+HBr\xrightarrow[{}]{{}}\]then a value of\[CH\equiv CH+2HBr\xrightarrow[{}]{{}}\]is
AIEEE Solved Paper-2007
question_answer83) In the binomial expansion of\[C{{H}_{3}}CH=C{{H}_{2}}+HBr\xrightarrow[{}]{{}}\]the sum of 5th and 6th terms is zero, then\[C{{H}_{3}}C{{H}_{2}}N{{H}_{2}}+CHC{{l}_{3}}+3KOH\xrightarrow[{}]{{}}\]equals
AIEEE Solved Paper-2007
question_answer84) The set S = {1, 2, 3,..., 12} is to be partitioned into three sets A, B, C of equal size. Thus, \[3KCl\] \[{{C}_{2}}{{H}_{5}}NC\]The number of ways to partition S is
AIEEE Solved Paper-2007
question_answer85) The largest interval lying in\[FeCl,\] which the function \[{{C}_{2}}\xrightarrow[{}]{{}}C_{2}^{+}\] is defined, is
AIEEE Solved Paper-2007
question_answer86) A body weighing 13 kg is suspended by two strings 5 m and 12 m long, their other ends being fastened to the extremities of a rod 13 m long. If the rod be so held that the body hangs immediately below the middle point. The tensions in the strings are
AIEEE Solved Paper-2007
question_answer87) A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is
AIEEE Solved Paper-2007
question_answer88) Consider a family of circles which are passing through the point (-1, 1) and are touching X-axis. If (h, k) are the coordinates of the centre of the circles, then the set of values of k is given by the interval
AIEEE Solved Paper-2007
question_answer89) Let L be the line of intersection of the planes \[4f\]and\[25{}^\circ C\]. If L makes an angle a with the positive x-axis, then\[\frac{2}{3}\] equals
AIEEE Solved Paper-2007
question_answer90) The differential equation of all circles passing through the origin and having their centres on the X-axis is
AIEEE Solved Paper-2007
question_answer91) If p and g are positive real numbers such that \[\text{105}\text{.0 }g\,mo{{l}^{-1}}\]then the maximum value of\[\text{210}\text{.0 }g\,mo{{l}^{-1}}\]is
AIEEE Solved Paper-2007
question_answer92) A tower stands at the centre of a circular park. A and B are two points on the boundary of the park such that AB (= a) subtends an angle of \[R=8.3\text{ }J\text{ }mo{{l}^{-1}}\]at the/foot of the tower and the angle of elevation of the top of the tower from A or B is\[4.100\,kJ\,mo{{l}^{-1}}\]. The height of the tower is
AIEEE Solved Paper-2007
question_answer93) The sum of the series, \[^{20}{{C}_{0}}{{-}^{20}}{{C}_{1}}{{+}^{20}}{{C}_{2}}{{-}^{20}}{{C}_{3}}\,+...-...{{+}^{20}}{{C}_{10}}\] is
AIEEE Solved Paper-2007
question_answer94) The normal to a curve at\[AgI{{O}_{3}}\]meets the x-axis at G. If the distance of G from the origin is twice the abscissa of P, then the curve is a
AIEEE Solved Paper-2007
question_answer96) The resultant of two forces P N and 3 N is a force of 7 N. If the direction of the 3 N force were reversed, the resultant would be \[\sqrt{19}N\]. The value of P is
AIEEE Solved Paper-2007
question_answer97) Two aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are 0.3 and 0.2, respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is
AIEEE Solved Paper-2007
question_answer99) For the hyperbola \[{{R}_{2}}CHX>{{R}_{3}}CX>RC{{H}_{2}}X\]which of the following remains constant when \[\alpha \] varies?
AIEEE Solved Paper-2007
question_answer100) If a line makes an angle of \[C{{H}_{3}}C{{H}_{2}}OH\xrightarrow[{}]{P+{{I}_{2}}}A\xrightarrow[Ether]{Mg}B\xrightarrow[{}]{HCHO}\]with the positive directions of each of X-axis and Y-axis, then the angle that the line makes with the positive direction of the Z-axis is
AIEEE Solved Paper-2007
question_answer101) A value of C for which the conclusion of Mean Value Theorem holds for the function\[n=3,\text{ }l=0,\text{ }m=0,\text{ }s=+\text{ }1/2\] \[OH...N\] the interval [1, 3] is
AIEEE Solved Paper-2007
question_answer105) If \[\hat{u}\] and \[\hat{v}\] are unit vectors and \[\theta \] is the acute angle between them, then\[\Lambda _{HCl}^{o}=426.2\text{ }S\text{ }c{{m}^{2}}/equiv\]is a unit vector for
AIEEE Solved Paper-2007
question_answer106) A particle just clears a wall of height b at a distance a and strikes the ground at a distance c from the point of projection. The angle of projection is
AIEEE Solved Paper-2007
question_answer107) The average marks of boys in a class is 52 and that of "girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is
AIEEE Solved Paper-2007
question_answer108) The equation of a tangent to the parabola \[C{{H}_{3}}COOK\]is\[{{H}^{+}}(\lambda _{{{H}^{+}}}^{o})\]. The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is
AIEEE Solved Paper-2007
question_answer109) If (21 3, 5) is one end of a diameter of the sphere \[{{\Lambda }^{o}}\] then the coordinates of the other end of the diameter are
AIEEE Solved Paper-2007
question_answer110) Let \[(CIC{{H}_{2}}COOH)\]and\[KMn{{O}_{4}}\] If the vector \[\vec{c}\] lies in the plane of \[\vec{a}\] and \[\vec{b}\], then\[O_{2}^{2-}\]equals
question_answer111) Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of values which 'k' can take is given by
AIEEE Solved Paper-2007
question_answer112) Let P = (-1, 0), Q = (0, 0) and\[O_{2}^{+}\] be three points. The equation of the bisector of \[{{O}_{2}}\]is
AIEEE Solved Paper-2007
question_answer113) If one of the lines of\[Si{{X}_{2}}<Ge{{X}_{2}}<Pb{{X}_{2}}<Sn{{X}_{2}}\]is a bisector of the angle between the lines\[Si{{X}_{2}}<Ge{{X}_{2}}<Sn{{X}_{2}}<Pb{{X}_{2}}\]then m is
AIEEE Solved Paper-2007
question_answer115) Let\[C{{l}_{2}}\]be a function denned by \[N{{H}_{3}}\]\[{{N}_{2}}\]. Then, which of the following is true?
AIEEE Solved Paper-2007
A)
\[HCl\]for all\[B{{r}_{2}}\]
doneclear
B)
\[NaOH\]is not differentiate at\[NaBr,NaBr{{O}_{4}}\]
doneclear
C)
\[{{H}_{2}}O\]is differentiable everywhere
doneclear
D)
\[{{K}^{+}},C{{a}^{2+}},M{{g}^{2+}},B{{e}^{2+}}\]is not differentiable at\[M{{g}^{2+}}<B{{e}^{2+}}<{{K}^{+}}<C{{a}^{2+}}\]
question_answer116) The function\[B{{e}^{2+}}<{{K}^{+}}<C{{a}^{2+}}<M{{g}^{2+}}\]given by \[{{K}^{+}}<C{{a}^{2+}}<M{{g}^{2+}}<B{{e}^{2+}}\] can be made continuous at\[C{{a}^{2+}}<M{{g}^{2+}}<B{{e}^{2+}}<{{K}^{+}}\]by defining f(0) as
AIEEE Solved Paper-2007
question_answer119) The area enclosed between the curves\[CaC{{O}_{3}}(s)\xrightarrow{{}}CaO(s)+C{{O}_{2}}(g)\] and\[\Delta H{}^\circ \]is
AIEEE Solved Paper-2007
question_answer120) If the difference between the roots of the equation\[160.2\text{ }J/K\]is less than\[\Delta H{}^\circ \]then the set of possible values of a is
AIEEE Solved Paper-2007