A) Metal excess done clear
B) Metal deficiency done clear
C) Impurities done clear
D) None of these done clear
View Answer play_arrowA) 2-Ethyl-3-hexene done clear
B) 2,3-Pentadiene done clear
C) 1,3 - Butadiene done clear
D) Pent - 3 - en - 1 - yne done clear
View Answer play_arrowA) zinc induces the precipitation. done clear
B) zinc prevents the reduction of aniline during the reaction. done clear
C) zinc reduces the coloured impurities in the aniline and also prevents its oxidation during the reaction. done clear
D) zinc form a white crystal line complex with aniline. done clear
View Answer play_arrowA) \[100.5\,m{{s}^{-1}}\] done clear
B) \[201.0\,m{{s}^{-1}}\] done clear
C) \[402\,m{{s}^{-1}}\] done clear
D) \[1608\,m{{s}^{-1}}\] done clear
View Answer play_arrowA) Cyclohexanol done clear
B) Cyclohex-2-enol done clear
C) Cyclohexanone done clear
D) Benzene done clear
View Answer play_arrowA) \[15200\,c{{m}^{-1}}\] done clear
B) \[60800\,c{{m}^{-1}}\] done clear
C) \[76000\,c{{m}^{-1}}\] done clear
D) \[136800\,c{{m}^{-1}}\] done clear
View Answer play_arrowA) \[a:c\] done clear
B) \[a:2c\] done clear
C) \[2a:c\] done clear
D) \[3a:c\] done clear
View Answer play_arrowA) In \[{{N}_{2}}^{+},\] the N - N bond weakens done clear
B) In \[{{O}_{2}}^{+},\] the 0 - 0 bond order increases done clear
C) In \[{{O}_{2}}^{+},\] para magnetism decreases done clear
D) \[{{N}_{2}}^{+}\] becomes diamagnetic done clear
View Answer play_arrowquestion_answer9) The reaction in which hydrogen peroxide acts as a reducing agent is
A) \[PbS+4{{H}_{2}}{{O}_{2}}\to PbS{{O}_{4}}+4{{H}_{2}}O\] done clear
B) \[2KI+{{H}_{2}}{{O}_{2}}\to 2KOH+{{I}_{2}}\] done clear
C) \[2FeS{{O}_{4}}+{{H}_{2}}S{{O}_{4}}+{{H}_{2}}{{O}_{2}}\to F{{e}_{2}}{{(S{{O}_{4}})}_{3}}+2{{H}_{2}}O\] done clear
D) \[A{{g}_{2}}O+{{H}_{2}}{{O}_{2}}\to 2Ag+{{H}_{2}}O+{{O}_{2}}\] done clear
View Answer play_arrowquestion_answer10) Reaction of with \[RMgX\] leads to formation of
A) \[RCHOHR\] done clear
B) \[RCHOHC{{H}_{3}}\] done clear
C) \[RC{{H}_{2}}C{{H}_{2}}OH\] done clear
D) done clear
View Answer play_arrowquestion_answer11) Which reaction will not yield an amide?
A) \[{{C}_{2}}{{H}_{5}}-\overset{O}{\mathop{\overset{||}{\mathop{C}}\,}}\,-Cl+N{{H}_{3}}\] done clear
B) \[{{C}_{2}}{{H}_{5}}-\overset{O}{\mathop{\overset{||}{\mathop{C}}\,}}\,-O-\overset{O}{\mathop{\overset{||}{\mathop{C}}\,}}\,-Cl+C{{H}_{3}}N{{H}_{2}}\] done clear
C) \[C{{H}_{3}}-\overset{O}{\mathop{\overset{||}{\mathop{C}}\,}}\,-Cl+{{(C{{H}_{3}})}_{3}}N\] done clear
D) \[C{{H}_{3}}-\overset{O}{\mathop{\overset{||}{\mathop{C}}\,}}\,-O-\overset{O}{\mathop{\overset{||}{\mathop{C}}\,}}\,-C{{H}_{3}}+C{{H}_{3}}NH-C{{H}_{2}}-C{{H}_{3}}\] done clear
View Answer play_arrowquestion_answer12) How many different dipeptides can be formed by two different amino acids?
A) 4 done clear
B) 1 done clear
C) 3 done clear
D) 2 done clear
View Answer play_arrowA) \[1.92\,\,cm\] done clear
B) \[7.68\,cm\] done clear
C) \[0.175\,cm\] done clear
D) \[3.84\,cm\] done clear
View Answer play_arrowquestion_answer14) The rocket fuel among the following is:
A) hydrazine done clear
B) urea done clear
C) helium done clear
D) thiourea done clear
View Answer play_arrowA) dimethyl ether done clear
B) di-tert-butyl ether done clear
C) tert-butyl methyl ether done clear
D) isobutylene done clear
View Answer play_arrowA) \[{{s}_{0}}>{{s}_{1}}>{{s}_{2}}>{{s}_{3}}\] done clear
B) \[{{s}_{0}}>{{s}_{2}}>{{s}_{1}}>{{s}_{3}}\] done clear
C) \[{{s}_{0}}>{{s}_{2}}>{{s}_{3}}>{{s}_{1}}\] done clear
D) \[{{s}_{0}}>{{s}_{1}}={{s}_{2}}>{{s}_{3}}\] done clear
View Answer play_arrowquestion_answer17) Which of the following compounds exhibit tautomerism?
A) Chloroethane done clear
B) Ethanol done clear
C) Ethoxyethane done clear
D) Nitroethane done clear
View Answer play_arrowA) \[-N{{O}_{2}}\] group done clear
B) aromatic \[-N{{H}_{2}}\] group done clear
C) \[-CON{{H}_{2}}\] group done clear
D) aliphatic \[-N{{H}_{2}}\] group done clear
View Answer play_arrowA) \[49.50\] done clear
B) \[59.60\] done clear
C) \[69.60\] done clear
D) \[79.87\] done clear
View Answer play_arrowquestion_answer20) Point out the incorrect statement among the following :
A) The oxidation state of oxygen is \[+2\] in \[O{{F}_{2}}\]. done clear
B) Acidic character follows the order \[{{H}_{2}}O<{{H}_{2}}S<{{H}_{2}}Se<{{H}_{2}}Te\]. done clear
C) The tendency to form multiple bonds increases in moving down the group from sulphur to tellurium (towards C and N) done clear
D) Sulphur has a strong tendency to catenae while oxygen shows this tendency to a limited extent. done clear
View Answer play_arrowA) Poling; of more affinity towards oxygen for impurities done clear
B) Selective oxidation; of more affinity towards oxygen for impurities done clear
C) Electrolytic refining; impurities undissolved in electrolyte done clear
D) Liquation; Sn having low melting point compared to impurities. done clear
View Answer play_arrowA) \[NO_{2}^{+}\]and \[Ba{{O}_{2}}\] done clear
B) \[K{{O}_{2}}\] and \[AlO_{2}^{-}\] done clear
C) \[K{{O}_{2}}\] only done clear
D) \[Ba{{O}_{2}}\] only done clear
View Answer play_arrowA) there will be no net movement across the membrane done clear
B) glucose will flow across the membrane into urea solution done clear
C) urea will flow across the membrane into glucose solution done clear
D) water will flow from urea solution to glucose solution done clear
View Answer play_arrowquestion_answer24) Which reagent can be used to identify nickel ion?
A) Resorcinol done clear
B) Dimethyl glyoxime done clear
C) Diphenyl benzidine done clear
D) Potassium ferrocyanide done clear
View Answer play_arrowA) The octahedral complex becomes square planar. done clear
B) A tetrahedral complex is formed. done clear
C) Distorted octahedral structure is obtained. done clear
D) Dehydration results in the formation of polymeric species. done clear
View Answer play_arrowA) \[3.8\times {{10}^{-12}}~\] done clear
B) \[3.8\] done clear
C) 6 done clear
D) \[13.4\] done clear
View Answer play_arrowquestion_answer27) Amongst the following the compound that is both paramagnetic and coloured is
A) \[{{K}_{2}}C{{r}_{2}}{{O}_{7}}\] done clear
B) \[{{(N{{H}_{4}})}_{2}}[TiC{{l}_{6}}]\] done clear
C) \[CoS{{O}_{4}}\] done clear
D) \[{{K}_{3}}[Cu{{(CN)}_{4}}]\] done clear
View Answer play_arrowA) log K vs T will give a straight line done clear
B) log K vs 1/T gives a straight line with a slope \[-2500/2.303\text{ }R\] done clear
C) half life of reaction will be more at higher temperature done clear
D) log K vs 1 /T gives a straight line with a slope 2500/R done clear
View Answer play_arrowquestion_answer29) The correct statement among the following is :
A) The alkali metals when strongly heated in oxygen form superoxide?s. done clear
B) Caesium is used in photoelectric cells. done clear
C) \[NaHC{{O}_{3}}\] is more soluble in water than \[KHC{{O}_{3}}\]. done clear
D) The size of hydrated ions of alkali metals increases from top to bottom, done clear
View Answer play_arrowA) \[{{E}_{1}}<{{E}_{2}}\] done clear
B) \[{{E}_{1}}={{E}_{2}}\] done clear
C) \[{{E}_{2}}=0\ne {{E}_{1}}\] done clear
D) \[{{E}_{1}}>{{E}_{2}}\] done clear
View Answer play_arrowA) \[50m/sec\] done clear
B) \[40m/sec\] done clear
C) \[30m/sec\] done clear
D) \[20m/sec\] done clear
View Answer play_arrowA) \[2y+x\] done clear
B) \[2y-x\] done clear
C) \[7x-5y\] done clear
D) \[7x+5y\] done clear
View Answer play_arrowA) \[5\,N\] done clear
B) \[10\,N\] done clear
C) \[15\,N\] done clear
D) \[20\,N\] done clear
View Answer play_arrowA) \[{{M}^{2}}{{L}^{1}}{{T}^{0}}\] done clear
B) \[{{M}^{1}}{{L}^{-2}}{{T}^{0}}\] done clear
C) \[{{M}^{-1}}{{L}^{3}}{{T}^{1}}\] done clear
D) \[{{M}^{-1}}{{L}^{2}}{{T}^{3}}\] done clear
View Answer play_arrowA) \[10.6\,km/s\] done clear
B) \[0.106\,km/s\] done clear
C) \[1.06\,km/s\] done clear
D) zero done clear
View Answer play_arrowA) \[{{v}_{A}}=v,\,{{v}_{B}}=0\] done clear
B) \[{{v}_{A}}=\,{{v}_{B}}=0\] done clear
C) \[{{v}_{A}}=0,\,{{v}_{B}}=v\] done clear
D) \[{{v}_{A}}=0,\,{{v}_{B}}=2v\] done clear
View Answer play_arrowA) \[\sqrt{\frac{2Tg}{\pi d}}\] done clear
B) \[\sqrt{\frac{2\pi T}{dg}}\] done clear
C) \[\sqrt{\frac{2T}{\pi dg}}\] done clear
D) any length done clear
View Answer play_arrowA) \[3v/r\] done clear
B) \[4v/r\] done clear
C) \[5v/r\] done clear
D) \[2v/r\] done clear
View Answer play_arrowA) \[a=16\,b\] done clear
B) \[16\,a=b\] done clear
C) \[a=4b\] done clear
D) \[a=b\] done clear
View Answer play_arrowA) \[350\,K~\] done clear
B) \[325\,K~\] done clear
C) \[300\,K~\] done clear
D) \[275\,K~\] done clear
View Answer play_arrowStatement-1: If collision occurs between two elastic bodies their kinetic energy decreases during the time of collision. |
Statement-2: During collision intermolecular space decreases and hence elastic potential energy increases. |
A) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is false. done clear
D) Statement-1 is false, Statement-2 is true. done clear
View Answer play_arrowA) \[{{T}_{1}}={{T}_{2}}={{T}_{3}}\] done clear
B) \[{{T}_{1}}<{{T}_{2}}<{{T}_{3}}\] done clear
C) \[{{T}_{1}}>{{T}_{2}}>{{T}_{3}}\] done clear
D) \[{{T}_{1}}<{{T}_{3}}<{{T}_{2}}\] done clear
View Answer play_arrowA) \[\infty \] done clear
B) zero done clear
C) \[C[\sqrt{3}-1)/2]\] done clear
D) \[C[\sqrt{3}+1)/2]\] done clear
View Answer play_arrowA) \[{{T}_{1}}>{{T}_{2}}\] done clear
B) \[{{T}_{1}}<{{T}_{2}}\] done clear
C) \[{{T}_{1}}={{T}_{2}}\] done clear
D) \[{{T}_{1}}=2{{T}_{2}}\] done clear
View Answer play_arrowquestion_answer45) In the circuit shown the effective resistance between B and C is
A) \[3\,\Omega \] done clear
B) \[4\,\Omega \] done clear
C) \[4/3\,\Omega \] done clear
D) \[3/4\,\Omega \] done clear
View Answer play_arrowStatement-1: Orbital velocity of a satellite is greater than its escape velocity. |
Statement-2: Orbit of a satellite is within the gravitational field of earth whereas escaping is beyond the gravitational field of earth. |
A) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is false. done clear
D) Statement-1 is false, Statement-2 is true. done clear
View Answer play_arrowA) Proportional to a done clear
B) Proportional to a2 done clear
C) Proportional to I/a done clear
D) Equal to zero done clear
View Answer play_arrowA) \[63.8%\] done clear
B) \[83.3%\] done clear
C) \[16.7%\] done clear
D) \[36.2%\] done clear
View Answer play_arrowquestion_answer49) In the given circuit, the current drawn from the source is
A) \[20\,A\] done clear
B) \[10\,A\] done clear
C) \[5\,A\] done clear
D) \[5\sqrt{2}\,A\] done clear
View Answer play_arrowA) \[\frac{{{B}_{Y}}}{{{B}_{X}}}=1\] done clear
B) \[\frac{{{B}_{Y}}}{{{B}_{X}}}=2\] done clear
C) \[\frac{{{B}_{Y}}}{{{B}_{X}}}=\frac{1}{2}\] done clear
D) \[\frac{{{B}_{Y}}}{{{B}_{X}}}=\frac{1}{4}\] done clear
View Answer play_arrowA) \[\frac{\mu g}{4{{\pi }^{2}}{{V}^{2}}}\] done clear
B) \[\frac{\mu g}{4{{\pi }^{2}}V}\] done clear
C) \[\frac{\mu }{4{{\pi }^{2}}{{V}^{2}}g}\] done clear
D) \[\frac{\mu }{2{{\pi }^{2}}{{V}^{2}}}\] done clear
View Answer play_arrowA) \[\frac{{{n}_{1}}}{2}\] done clear
B) \[2n\] done clear
C) \[\frac{3{{n}_{1}}}{2}\] done clear
D) \[\frac{2{{n}_{1}}}{2}\] done clear
View Answer play_arrowA) Will not be there done clear
B) Will not be there if the intensity of light reaching the screen from \[{{S}_{1}}\] and \[{{S}_{2}}\] are equal. done clear
C) Will be there under all circumstances done clear
D) We will have only the central fringe done clear
View Answer play_arrowA) \[1:1\] done clear
B) \[1:2\] done clear
C) \[1:4\] done clear
D) \[2:1\] done clear
View Answer play_arrowquestion_answer55) In frequency modulation
A) The amplitude of modulated wave varies as frequency of carrier wave done clear
B) The frequency of modulated wave varies as amplitude of modulating wave done clear
C) The amplitude of modulated wave varies as amplitude of carrier wave done clear
D) The frequency of modulated wave varies as frequency of modulating wave done clear
View Answer play_arrowA) \[({{R}_{1}}{{T}_{1}}-{{R}_{2}}{{T}_{2}})\] done clear
B) \[({{R}_{1}}-{{R}_{2}})\] done clear
C) \[({{R}_{1}}-{{R}_{2}})/T\] done clear
D) \[({{R}_{1}}-{{R}_{2}})\times T\] done clear
View Answer play_arrowquestion_answer57) The figure of merit of a galvanometer is defined as
A) The voltage required to produce unit deflection in the galvanometer done clear
B) The current required to produce unit deflection in the galvanometer done clear
C) The power required to produce unit deflection in the galvanometer done clear
D) None of these done clear
View Answer play_arrowA) \[He\] and \[Ar\] done clear
B) \[He\] and \[{{O}_{2}}\] done clear
C) \[{{O}_{2}}\] and \[{{N}_{2}}\] done clear
D) \[{{O}_{2}}\] and \[He\] done clear
View Answer play_arrowA) zero done clear
B) \[q({{Q}_{1}}-{{Q}_{2}})(\sqrt{2}-1)/\sqrt{2}4\pi {{\varepsilon }_{0}}R\] done clear
C) \[q\sqrt{2}({{Q}_{1}}+{{Q}_{2}})/4\pi {{\varepsilon }_{0}}R\] done clear
D) \[q({{Q}_{1}}+{{Q}_{2}})(\sqrt{2}+1)/\sqrt{2}\,4\pi {{\varepsilon }_{0}}R\] done clear
View Answer play_arrowStatement-1: We in's distribution law fails at longer wavelengths. |
Statement-2: Intensity of radiations of very short wavelength is small. |
A) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is false. done clear
D) Statement-1 is false, Statement-2 is true. done clear
View Answer play_arrowA) \[\frac{49}{4}\] done clear
B) \[4\] done clear
C) \[3\] done clear
D) \[12\] done clear
View Answer play_arrowA) \[A.P.\] done clear
B) \[GP\]. done clear
C) \[H.P.\] done clear
D) satisfy\[ab=cd\] done clear
View Answer play_arrowquestion_answer63) Which of the following is correct?
A) If\[{{a}^{2}}+4{{b}^{2}}=12ab,\]then \[\log (a+2b)=\frac{1}{2}(\log a+\log b)\] done clear
B) If\[\frac{\log x}{b-c}=\frac{\log y}{c-a}=\frac{\log z}{a-b},\]then\[{{x}^{a}}.{{y}^{b}}.{{z}^{c}}=abc\] done clear
C) \[\frac{1}{{{\log }_{xy}}xyz}+\frac{1}{{{\log }_{yz}}xyz}+\frac{1}{{{\log }_{zx}}xyz}=2\] done clear
D) All are correct done clear
View Answer play_arrowStatement-1: If \[n\] is an odd prime, then integral part of\[{{(\sqrt{5}+2)}^{n}}\]is divisible by\[n\]. |
Statement-2: If \[n\] is prime, then\[^{n}{{c}_{1}},\,{{\,}^{n}}{{c}_{2}},\,{{\,}^{n}}{{c}_{3}},...{{,}^{n}}{{c}_{n-1}}\], must be divisible by\[n\]. |
A) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is false. done clear
D) Statement-1 is false, Statement-2 is true. done clear
View Answer play_arrowA) \[1/4\] done clear
B) \[1/8\] done clear
C) \[1/16\] done clear
D) \[{{[(\sqrt{5}-1)/4]}^{2}}\] done clear
View Answer play_arrowquestion_answer66) If\[x=1/5\],the value of\[\cos ({{\cos }^{-1}}x+2{{\sin }^{-1}}x)\]is
A) \[-\sqrt{\frac{24}{25}}\] done clear
B) \[\sqrt{\frac{24}{25}}\] done clear
C) \[-\frac{1}{5}\] done clear
D) \[\frac{1}{5}\] done clear
View Answer play_arrowA) \[1\] done clear
B) \[3\] done clear
C) \[{{\cot }^{2}}\beta \] done clear
D) \[\cot \alpha +\cot \gamma \] done clear
View Answer play_arrowStatement-1: The straight line \[2x+3y=4\] intersects the hyperbola \[4{{x}^{2}}-9{{y}^{2}}=36\] in exactly one point. |
Statement-2: The line is parallel to an asymptote of the hyperbola. |
A) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is false. done clear
D) Statement-1 is false, Statement-2 is true. done clear
View Answer play_arrowA) \[-4\] done clear
B) \[4\] done clear
C) \[1\] done clear
D) \[2\] done clear
View Answer play_arrowLet \[{{z}_{1}}\] and \[{{z}_{2}}\] be complex number such that\[|{{z}_{1}}+{{z}_{2}}|\,\,=\,\,|{{z}_{1}}|+|{{z}_{2}}|\] |
Statement-1:\[\arg \left( \frac{{{z}_{1}}}{{{z}_{2}}} \right)=0\] |
Statement-2: \[{{z}_{1}},\,\,{{z}_{2}}\]and origin are collinear and \[{{z}_{1}},\,\,{{z}_{2}}\] are on the same side of origin. |
A) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is false. done clear
D) Statement-1 is false, Statement-2 is true. done clear
View Answer play_arrowquestion_answer71) The circles \[{{x}^{2}}+{{y}^{2}}-2x-15=0\] and\[{{x}^{2}}+{{y}^{2}}+4y+3=0\]
A) no common tangent done clear
B) one common tangent done clear
C) three common tangents done clear
D) four common tangents. done clear
View Answer play_arrowquestion_answer72) Which of the following is correct?
A) If \[A\] and \[B\] are square matrices of order \[3\] such that \[|A|\,=-1,\,\,|B|\,=3\], then the determinant of \[3\,\,AB\] is equal to\[27\]. done clear
B) If \[A\] is an invertible matrix, then \[\det ({{A}^{-1}})\] is equal to\[\det (A)\] done clear
C) If \[A\] and \[B\] are matrices of the same order, then\[{{(A+B)}^{2}}={{A}^{2}}+2AB+{{B}^{2}}\]is possible if\[AB=I\] done clear
D) None of these done clear
View Answer play_arrowA) \[\lambda =-\frac{4}{5}\] done clear
B) \[\lambda \ne -\frac{4}{5}\] done clear
C) \[\lambda =2\] done clear
D) \[\lambda \ne 2\] done clear
View Answer play_arrowquestion_answer74) Let\[f(x)=|x-1|\]. Then
A) \[f({{x}^{2}})={{(f(x))}^{2}}\] done clear
B) \[f(x+y)=f(x)+f(y)\] done clear
C) \[f(|x|)=|f(x)|\] done clear
D) None of these done clear
View Answer play_arrowStatement-1: If\[1/2\le x\le 1\], then \[{{\cos }^{-1}}x+{{\cos }^{-1}}\left[ \frac{x}{2}+\frac{\sqrt{3-3{{x}^{2}}}}{2} \right]\]is equal to\[\pi /3\] |
Statement 2:\[{{\sin }^{-1}}\left( 2x\sqrt{1-{{x}^{2}}} \right)=2{{\sin }^{-1}}x,\]if\[x\in \left[ -1/\sqrt{2},\,\,1/\sqrt{2} \right]\] |
A) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is false. done clear
D) Statement-1 is false, Statement-2 is true. done clear
View Answer play_arrowA) an odd number of\[\frac{\pi }{2}\] done clear
B) an odd multiple of\[\pi \] done clear
C) an even multiple of\[\frac{\pi }{2}\] done clear
D) \[0\] done clear
View Answer play_arrowA) \[{{R}^{+}}\] done clear
B) \[R-\{0\}\] done clear
C) \[[1,\,\,\infty )\] done clear
D) \[{{R}^{+}}-\{1\}\] done clear
View Answer play_arrowA) \[R\] done clear
B) \[R-\{0\}\] done clear
C) \[R-\{1\}\] done clear
D) \[R-\{0,\,\,1\}\] done clear
View Answer play_arrowA) \[\{1\}\] done clear
B) \[\{-2,\,\,1\}\] done clear
C) \[\{1/2,\,\,1,\,\,2\}\] done clear
D) \[\{1/2,\,\,1\}\] done clear
View Answer play_arrowStatement-1: \[\frac{({{n}^{2}})!}{{{(n!)}^{n}}}\] is a natural number for all\[n\in N\]. |
Statement-2: The number of ways of distributing \[mn\] things in \[m\] groups each containing \[n\] things is\[\frac{(mn)!}{{{(n!)}^{m}}}\]. |
A) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is false. done clear
D) Statement-1 is false, Statement-2 is true. done clear
View Answer play_arrowA) has value\[0\] done clear
B) has value\[1\] done clear
C) has value\[-\infty \] done clear
D) has value\[\infty \] done clear
View Answer play_arrowA) \[1\] done clear
B) \[2\] done clear
C) \[3\] done clear
D) \[4\] done clear
View Answer play_arrowquestion_answer83) \[\int{\frac{1}{f(x)}dx=\log {{(f(x))}^{2}}+C}\], then\[f(x)\]is
A) \[x+\alpha \] done clear
B) \[2x+\alpha \] done clear
C) \[\frac{x}{2}+\alpha \] done clear
D) \[{{x}^{2}}+\alpha \] done clear
View Answer play_arrowquestion_answer84) Value of\[\int_{0}^{2a}{\frac{f(x)}{f(x)+f(2a-x)}dx}\]is
A) \[0\] done clear
B) \[\frac{\pi }{4}\] done clear
C) \[a\] done clear
D) none of these done clear
View Answer play_arrowA) \[0\] done clear
B) \[1\] done clear
C) \[\pi /4\] done clear
D) \[\pi /2\] done clear
View Answer play_arrowA) \[-1\] done clear
B) \[-1/2\] done clear
C) \[0\] done clear
D) \[1/2\] done clear
View Answer play_arrowA) \[x-2y+2=0\] done clear
B) \[x+2y+4=0\] done clear
C) \[x-2y=4\] done clear
D) \[x+2y=4\] done clear
View Answer play_arrowA) \[\left( \frac{7}{2},\,\,\frac{1}{2} \right)\] done clear
B) \[\left( \frac{7}{2},\,\,\frac{1}{4} \right)\] done clear
C) \[(1,\,\,4)\] done clear
D) \[(4,\,\,1)\] done clear
View Answer play_arrowA) \[\frac{9}{4}\] done clear
B) \[\frac{4}{9}\] done clear
C) \[1\] done clear
D) \[3\sqrt{3}\] done clear
View Answer play_arrowA) \[\frac{xyz}{[(1-{{x}^{2}})(1-{{y}^{2}})(1-{{z}^{2}})]}\] done clear
B) \[\frac{-xyz}{[(1-{{x}^{2}})(1-{{y}^{2}})(1-{{z}^{2}})]}\] done clear
C) \[\frac{8xyz}{[(1-{{x}^{2}})(1-{{y}^{2}})(1-{{z}^{2}})]}\] done clear
D) \[\frac{-8}{[(1-{{x}^{2}})(1-{{y}^{2}})(1-{{z}^{2}})]}\] done clear
View Answer play_arrowYou need to login to perform this action.
You will be redirected in
3 sec