question_answer2) A ball whose kinetic energy is E, is projected at an angle of \[{{45}^{o}}\] to the horizontal. The kinetic energy of the ball at the highest point of its flight will be
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question_answer3) From a building, two balls A and B are thrown such that A is thrown upwards and B downwards (both vertically). If \[{{v}_{A}}\] and \[{{v}_{B}}\] are their respective velocities on reaching the ground, then
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question_answer4) If a body loses half of its velocity on penetrating 3 cm in a wooden block, then how much will it penetrate more before coming to rest?
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question_answer5) If suddenly the gravitational force of attraction between earth and a satellite revolving around it becomes zero, then the satellite will
AIEEE Solved Paper-2002
A)
continue to move in its orbit with same velocity
doneclear
B)
move tangentially to the original orbit with the same velocity
question_answer7) If in a circular coil A of radius R, current j is flowing and in another coil B of radius 2 R, a current 2 i is flowing, then the ratio of the magnetic fields, \[{{B}_{A}}\] and \[{{B}_{B}}\] produced by them will be
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question_answer9) A wire when connected to 220 V mains supply has power dissipation \[{{P}_{1}}\]. Now, the wire is cut into two equal pieces which are connected in parallel to the same supply. Power dissipation in this case is \[{{P}_{2}}\]. Then, \[{{P}_{2}}:{{P}_{1}}\] is
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question_answer10) If \[13.6\] eV energy is required to ionize the hydrogen atom, then the energy required to remove an electron from \[n=2\], is
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question_answer11) Tube A has both ends open while tube B has one end closed, otherwise they are identical. The ratio of fundamental frequency of tubes A and B is
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question_answer12) A tuning fork arrangement (pair) produces 4 beats/s with one fork of frequency 288 cps. A little wax is placed on the unknown fork and it then produces 2 beats/s. The frequency of the unknown fork is
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question_answer13) A wave \[y=a\sin \,(\omega t-kx)\] on a string meets with another wave producing a node at \[x=0\]. Then, the equation of the unknown wave is
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question_answer14) On moving a charge of 20 C by 2 cm, 2 J of work is done, then the potential difference between the points is
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question_answer18) A charged particle g is placed at the centre O of cube of length L (ABCDEFGH). Another same charge q is placed at a distance L from O. Then, the electric flux through ABCD is
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question_answer20) Wavelength of light used in an optical instrument are \[{{\lambda }_{1}}=4000\,\overset{0}{\mathop{A}}\,\] and \[{{\lambda }_{2}}=5000\,\overset{0}{\mathop{A}}\,\], then ratio of their respective resolving powers (corresponding to \[{{\lambda }_{1}}\] and \[{{\lambda }_{2}}\]) is
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question_answer21) Two identical particles move towards each other with velocity 2v and v respectively. The velocity of centre of mass is
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question_answer30) If \[{{\theta }_{i}}\] is the inversion temperature, \[{{\theta }_{n}}\] is the neutral temperature, \[{{\theta }_{c}}\] is the temperature of the cold junction, then
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question_answer32) If \[{{N}_{0}}\] is the original mass of the substance of half-life period \[{{t}_{1/2}}\,=5\,\,yr,\] then the amount of substance left after \[15\,yr\] is
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question_answer37) Length of a string tied to two rigid supports is 40 cm. Maximum length (wavelength in cm) of a stationary wave produced on it, is
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question_answer38) The power factor of an AC circuit having resistance R and inductance L (connected in series) and an angular velocity co is
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question_answer41) Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will
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question_answer43) If mass-energy equivalence is taken into account, when water is cooled to form ice, the mass of water should
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question_answer47) Initial angular velocity of a circular disc of mass M is \[{{\omega }_{\,1}}\]. Then, two small spheres of mass m are attached gently to two diametrically opposite points on the edge of the disc. What is the final angular velocity of the disc?
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question_answer48) The minimum velocity (in \[m{{s}^{-1}}\]) with which a car driver must traverse a flat curve of radius 150 m and coefficient of friction \[0.6\] to avoid skidding is
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question_answer49) A cylinder of height 20 m is completely filled with water. The velocity of efflux of water (in \[m{{s}^{-1}}\]) through a small hole on the side wall of the cylinder near its bottom, is
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question_answer50) A spring of force constant 800 N/m has an extension of 5 cm. The work done in extending it from 5 cm to 15 cm is
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question_answer52) A lift is moving down with acceleration a. A man in the lift drops a ball inside the lift. The acceleration of the ball as observed by the man in the lift and a man standing stationary on the ground are respectively
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question_answer54) At what temperature is the \[rms\] velocity of a hydrogen molecule equal to that of an oxygen molecule at \[{{47}^{o}}C\]?
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question_answer55) The time period of a charged particle undergoing a circular motion in a uniform magnetic field is independent of its
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question_answer56) A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then, maximum acceleration down the plane is for (no rolling)
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question_answer57) In a transformer, number of turns in the primary are 140 and that in the secondary are 280. If current in primary is 4 A, then that in the secondary is
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question_answer60) When forces \[{{F}_{1}},{{F}_{2}},{{F}_{3}}\] are acting on a particle of mass m such that \[{{F}_{1}}\] and \[{{F}_{2}}\] are mutually perpendicular, then the particle remains stationary. If the force \[{{F}_{1}}\] is now removed, then the acceleration of the particle is
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question_answer61) Two forces are such that the sum of their magnitudes is 18 N and their resultant which has magnitude 12 N, is perpendicular to the smaller force. Then, the magnitudes of the forces are
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question_answer62) Speeds of two identical cars are u and 4 u at a specific instant. The ratio of the respective distances at which the two cars are stopped from that instant is
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question_answer63) 1 mole of a gas with \[\gamma =7/5\] is mixed with 1 mole of a gas with \[\gamma =5/3\] , then the value of y for the resulting mixture is
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question_answer64) If a charge q is placed at the centre of the line joining two equal charges Q such that the system is in equilibrium, then the value of q is
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question_answer66) A light string passing over a smooth light pulley connects two blocks of masses \[{{m}_{1}}\] and \[{{m}_{2}}\] (vertically). If the acceleration of the system is g/8, then the ratio of the masses is
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question_answer67) Two spheres of the same material have radii 1 m and 4 m and temperatures 4000 K and 2000 K respectively. The ratio of the energy radiated per second by the first sphere to that by the second is
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question_answer68) Three identical blocks of masses \[m=2\] kg are drawn by a force \[F=10.2\] N with an acceleration of \[0.6\,\,m{{s}^{-2}}\] on a frictionless surface, then what is the tension (in N) in the string between the blocks B and C?
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question_answer69) One end of massless rope, which passes over a massless and frictionless pulley P is tied to a hook C while the other end is free. Maximum tension that the rope can bear is 360 N. With what value of maximum safe acceleration (in \[m{{s}^{-2}}\]) can a man of 60 kg climb on the rope?
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question_answer70) A particle of mass m moves along line PC with velocity v as shown. What is the angular momentum of the particle about O?
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question_answer71) Wires 1 and 2 carrying currents, \[{{i}_{1}}\] and \[{{i}_{2}}\] respectively are inclined at an angle \[\theta \] to each other. What is the force on a small element dl of wire 2 at a distance r from wire 1 (as shown in figure) due to the magnetic field of wire 1?
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question_answer72) At a specific instant emission of radioactive compound is deflected in a magnetic field. The compound can emit (i) electrons (ii) protons (iii) \[H{{e}^{+}}\] (iv) neutrons The emission at the instant can be
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question_answer73) Sodium and copper have work functions \[2.3\] eV and \[4.5\] eV respectively. Then, the ratio of the wavelengths is nearest to
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question_answer75) A conducting square loop of side L and resistance R moves in its plane with a uniform velocity v perpendicular to one of its sides. A magnetic induction B constant in time and space, pointing perpendicular and into the plane at the loop exist everywhere with half the loop outside the field, as shown in figure. The induced emf is
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question_answer83) For the following cell with hydrogen electrodes at two different pressures pi and?2 \[\underset{{{p}_{1}}}{\mathop{\operatorname{P}t({{H}_{2}})}}\,\,\,\underset{1M}{\mathop{\left| {{H}^{+}}(aq) \right|}}\,\,\,\underset{{{p}_{2}}}{\mathop{\operatorname{P}t({{H}_{2}})}}\,\] emf is given by
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question_answer89) Following reaction, \[{{(C{{H}_{3}})}_{3}}CBr+{{H}_{2}}O\xrightarrow{{}}{{(C{{H}_{3}})}_{3}}COH+HBr\] is an example of
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question_answer90) A metal M forms water soluble \[MS{{O}_{4}}\] and inert MO. MO in aqueous solution forms insoluble \[M{{(OH)}_{2}}\] soluble in \[NaOH\]. Metal M is
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question_answer91) Half-life of a substance A following first order kinetics is 5 days. Starting with 100g of A, amount left after 15 days is
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question_answer94) If \[F{{e}^{3+}}\] and \[C{{r}^{3+}}\] both are present in group III of qualitative analysis, then distinction can be made by
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A)
addition of \[N{{H}_{4}}OH\] in the presence of \[N{{H}_{4}}Cl\] when only \[Fe{{(OH)}_{3}}\] is precipitated
doneclear
B)
addition of \[N{{H}_{4}}OH\]) in the presence of \[N{{H}_{4}}Cl\]I when \[Cr{{(OH)}_{3}}\] and \[Fe{{(OH)}_{3}}\] both are precipitated and on adding \[B{{r}_{2}}\] water and NaOH, \[Cr{{(OH)}_{3}}\] dissolves
doneclear
C)
precipitate of \[Cr{{(OH)}_{3}}\] and \[Fe{{(OH)}_{3}}\] as obtained in (b) are treated with cone. HCI when only \[Fe{{(OH)}_{3}}\] dissolves
question_answer95) In an organic compound of molar mass \[108\,g\,mo{{l}^{-1}}\] C, H and N atoms are present in \[9:1:3.5\] by weight. Molecular formula can be
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question_answer96) Solubility of \[Ca{{(OH)}_{2}}\] is s \[mol{{L}^{-1}}\]. The solubility product \[({{K}_{sp}})\] under the same condition is
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question_answer102) For an aqueous solution, freezing point is\[{{0.186}^{o}}C\]. Elevation of the boiling point of the same solution is (\[{{K}_{f}}={{1.86}^{o}}mo{{l}^{-1}}kg\] and \[{{K}_{b}}={{0512}^{o}}mo{{l}^{-1}}kg\])
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question_answer105) For a reaction \[A+2B\xrightarrow{{}}C\], rate is given by \[+\frac{d[C]}{dt}=k[A][B]\], hence the order of the reaction is
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question_answer112) Consider the following two reactions, \[A\xrightarrow{{}}\] Product \[-\frac{d[A]}{dt}={{k}_{1}}{{[A]}^{o}}\] \[B\xrightarrow{{}}\] Product \[-\frac{d[B]}{dt}={{k}_{2}}[B]\] \[{{k}_{1}}\] and \[{{k}_{2}}\] are expressed in terms of molarity(mol \[{{L}^{-1}}\]) and time \[({{s}^{-1}})\] as
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question_answer114) For a cell given below \[Ag\,\left| A{{g}^{+}} \right|\left| C{{u}^{2+}} \right|\,\,Cu\] - + \[A{{g}^{+}}+{{e}^{-}}\xrightarrow{{}}Ag,\,{{E}^{o}}=x\] \[C{{u}^{2+}}2\,{{e}^{-}}\xrightarrow{{}}Cu,\,{{E}^{o}}=y\] \[{{E}^{o}}_{cell}\] is
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question_answer116) \[MnO_{4}^{-}\] is a good oxidising agent in different medium changing to \[MnO_{4}^{-}\] \[\xrightarrow{{}}M{{n}^{2+}}\] \[\xrightarrow{{}}MnO_{4}^{2+}\] \[\xrightarrow{{}}Mn{{O}_{2}}\] \[\xrightarrow{{}}M{{n}_{2}}{{O}_{3}}\] Changes in oxidation number respectively are
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question_answer121) Which of the following compounds has incorrect IUPAC nomenclature?
AIEEE Solved Paper-2002
A)
\[C{{H}_{3}}\underset{\,\text{Ethylbutanoate}}{\mathop{C{{H}_{2}}\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,{{H}_{2}}CO{{C}_{2}}}}\,{{H}_{5}}\]
question_answer122) End product of the following reaction is \[C{{H}_{3}}C{{H}_{2}}COOH\xrightarrow[\text{Red P}]{C\,{{l}_{2}}}\xrightarrow{\text{Alcoholic KOH}}\]
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question_answer123) For the following reaction in gaseous phase \[CO+\frac{1}{2}{{O}_{2}}\xrightarrow{{}}C{{O}_{2}}\] \[{{K}_{c}}/{{K}_{p}}\] is
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question_answer128) Uncertainty in position of a particle of 25 g in space is \[{{10}^{-5}}\] m. Hence, uncertainty in velocity \[(m{{s}^{-1}})\] is (Planck's constant \[h=6.6\times {{10}^{-34}}Js\])
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question_answer129) Consider the following reactions at \[{{1100}^{o}}C\] (I) \[2C+{{O}_{2}}\xrightarrow{{}}2CO\], \[\Delta {{G}^{o}}=-460\,kJ\,mo{{l}^{-1}}\] (II) \[2Zn+{{O}_{2}}\xrightarrow{{}}2ZnO\], \[\Delta {{G}^{o}}+=-360\,kJ\,mo{{l}^{-1}}\] Based on these, select the correct alternate.
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question_answer130) A reaction is non-spontaneous at the freezing point of water but is spontaneous at the boiling point of water then
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question_answer134) \[C{{e}^{3+}},\,\,L{{a}^{3+}},\,P{{m}^{3+}}\] and \[Y{{b}^{3+}}\] have ionic radii in the increasing order as
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question_answer137) 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
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question_answer140) In the following benzyl/allyl system \[R-CH=C{{H}_{2}}\] or [R is alkyl group) decreasing order of inductive effect is
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question_answer141) \[PC{{l}_{3}}\] and \[PC{{l}_{5}}\], both exist; \[NC{{l}_{3}}\] exists but \[NC{{l}_{5}}\] does not exist. It is due to
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question_answer142) Following types of compounds (as I, II) (I) \[C{{H}_{3}}CH=CHC{{H}_{3}}\] (II) \[C{{H}_{3}}-\underset{\begin{smallmatrix} | \\ C{{H}_{2}}C{{H}_{3}} \end{smallmatrix}}{\mathop{C}}\,H-OH\] are studied in terms of isomerism in
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question_answer143) Conductivity (Seimen's S) is directly proportional to area of the vessel and the concentration of the solution in it and is inversely proportional to the length of the vessel, then constant of proportionality is expressed in
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question_answer144) 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
question_answer146) The metallic sodium dissolves in liquid ammonia to form a deep blue coloured solution. The deep blue colour is due to formation of
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question_answer151) If \[\alpha \ne \beta ,\,{{\alpha }^{2}}=5\alpha -3\] and \[{{\beta }^{2}}=5\beta -3\], then the equation having \[\alpha /\beta \] and \[\beta /\alpha \] as its roots, is
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question_answer152) If \[y={{(x+\sqrt{1+{{x}^{2}}})}^{n}}\] , then \[(1+{{x}^{2}})\frac{{{d}^{2}}y}{d{{x}^{2}}}+\frac{dy}{dx}\] is
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question_answer154) 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
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question_answer156) \[l,\,m,\,n\] are the pth, qth and rth terms of a GP and all positive, then \[\left| \begin{matrix} \log \,\,l & p & 1 \\ \log \,\,m & q & 1 \\ \log \,\,n & r & 1 \\ \end{matrix} \right|\] equals
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question_answer159) 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 marks of the girls?
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question_answer160) If \[{{\cot }^{-1}}(\sqrt{\cos \alpha })-{{\tan }^{-1}}(\sqrt{\cos \alpha })=x\], then \[\sin x\] is equal to
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question_answer162) 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
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question_answer173) The domain of definition of the function\[f(x)=\sqrt{{{\log }_{10}}\left( \frac{5x-{{x}^{2}}}{4} \right)}\] is
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question_answer183) Given two vectors are \[\hat{i}-\hat{j}\] and \[\hat{i}+2\hat{j}\], the unit vector coplanar with the two vectors and perpendicular to first is
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question_answer184) The vector \[\hat{i}+x\hat{j}+3\hat{k}\] is rotated through an angle \[\theta \] and doubled in magnitude, then it becomes \[4\hat{i}+(4x-2)\hat{j}+2\hat{k}\]. The values of \[x\] are
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question_answer185) A parallelepiped is formed by planes drawn through the points (2, 3, 5) and (5, 9, 7), parallel to the coordinate planes. The length of a diagonal of the parallelopiped is
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question_answer186) The equation of the plane containing the line \[\frac{x-{{x}_{1}}}{l}=\frac{y-{{y}_{1}}}{m}=\frac{z-{{z}_{1}}}{n}\] is \[a(x-{{x}_{1}})+b(y-{{y}_{1}})+c(z-{{z}_{1}})=0\] where
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question_answer187) A and B play a game where each is asked to select a number from 1 to 25. If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial, is
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question_answer190) Let \[{{T}_{n}}\] denotes the number of triangles which can be formed using the vertices of a regular polygon of n sides. If \[{{T}_{n\,+1}}-{{T}_{n}}=21\], then n equals
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question_answer198) The radius of the circle passing through the foci of the ellipse \[\frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{9}\] and having its centre at (0, 3), is
question_answer199) The probability of India winning a test match against West-Indies is \[1/2\] assuming independence from match to match. The probability that in a match series India's second win occurs at the third test is
question_answer201) A biased coin with probability \[p,0<p<1\], of heads is tossed until a head appears for the first time. If the probability that the number of tosses required is even, is \[2/5\], then p equals
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question_answer203) Let \[f(2)=4\] and \[f'\,(2)=4\]. Then,\[\underset{x\to 2}{\mathop{\lim }}\,\frac{xf(2)-2f(x)}{x-2}\] is given by
AIEEE Solved Paper-2002
question_answer205) A straight line through the point (2, 2) intersects the lines \[\sqrt{3}x+y=0\] and \[\sqrt{3}x-y=0\] at the points A and B. The equation to the line AB so that the \[\Delta OAB\] is equilateral, is
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question_answer207) The equation of the tangent to the circle \[{{x}^{2}}+{{y}^{2}}+4x-4y+4=0\] which make equal intercepts on the positive coordinate axes, is
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question_answer209) The equation of the chord joining two points \[({{x}_{1}},{{y}_{1}})\] and \[({{x}_{2}},{{y}_{2}})\] on the rectangular hyperbola \[xy={{c}^{2}}\]is
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question_answer210) If the vectors \[c,a=x\,\hat{i}+y\hat{j}+z\hat{k}\] and \[b=\hat{j}\] are such that a, c and b form a right handed system, then c is
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question_answer219) If \[\alpha \] is a root of \[25{{\cos }^{2}}\theta +5\cos \theta -12=0\frac{\pi }{2}<a<\pi \], then \[\sin 2\alpha \] is equal to
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question_answer222) \[{{x}^{(x-1)-\frac{1}{2}{{(x-1)}^{2}}+\frac{{{(x-1)}^{3}}}{3}-\frac{{{(x-1)}^{4}}}{4}+....}}\] is equal to
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question_answer224) If \[\left| x \right|<1\], then the coefficient of \[{{x}^{n}}\] in expansion of \[{{(1+x+{{x}^{2}}+{{x}^{3}}+....)}^{2}}\] is
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