question_answer1) Which one of the following is an example of co-ordination isomerism?
A) \[[Co{{(N{{H}_{3}})}_{5}}Br]S{{O}_{4}}\]and\[[Co{{(N{{H}_{3}})}_{5}}S{{O}_{4}}]Br\] done clear
B) \[[Co{{(N{{H}_{3}})}_{5}}N{{O}_{2}}]C{{l}_{2}}\]and \[[Co{{(N{{H}_{3}})}_{5}}ONO]C{{l}_{2}}\] done clear
C) \[[Cr{{({{H}_{2}}O)}_{6}}]C{{l}_{3}}\]and\[[Cr{{({{H}_{2}}O)}_{5}}]Cl]C{{l}_{2}}{{H}_{2}}O\] done clear
D) \[[Co{{(N{{H}_{3}})}_{6}}][Cr{{(CN)}_{6}}\]and\[[Cr{{(N{{H}_{3}})}_{6}}][Co{{(CN)}_{6}}]\] done clear
View Answer play_arrowA) azimuthal quantum number done clear
B) principal quantum number done clear
C) magnetic quantum number done clear
D) spin quantum number done clear
View Answer play_arrowA) Number of molecules in P is less than that in Q done clear
B) Number of molecules in P and Q is same done clear
C) Number of molecules in Q is less than that in P done clear
D) Either [a] or [b] done clear
View Answer play_arrowA) more number of gold atoms done clear
B) more number of carbon atoms done clear
C) equal number of gold and carbon atoms done clear
D) gold and carbon atoms in ratio of 4:1 approximately done clear
View Answer play_arrowA) 6.4 x102 done clear
B) 3.0 x102 done clear
C) 1.6 x105 done clear
D) 5.6x104 done clear
View Answer play_arrowA) phenyl hydrazine done clear
B) semicarbazide done clear
C) biuret done clear
D) acetylurea done clear
View Answer play_arrowA) 1,2,3-propanetrinitrile done clear
B) 1,2,3- tricyanopropane done clear
C) 3 -cyano-1,5 -dinitrilepentane done clear
D) 3 -cyano -1,5 -pentanedinitriIe done clear
View Answer play_arrowquestion_answer8) Diborane has
A) 2 two - centre - two - electron bonds and 4 three - centre - three - electron bonds. done clear
B) 4 two - centre - two - electron bonds and 2 three - centre - three - electron bonds done clear
C) 3 two - centre - two - electron bonds and 3 three - centre - three - electron bonds. done clear
D) all six identical bonds. done clear
View Answer play_arrowquestion_answer9) The repeating units of acrilan are
A) \[{{\text{H}}_{\text{2}}}\text{C=}\overset{\begin{smallmatrix} \text{H} \\ \text{ }\!\!|\!\!\text{ } \end{smallmatrix}}{\mathop{\text{C}}}\,-\text{COOC}{{\text{H}}_{\text{3}}}\] done clear
B) \[{{\text{H}}_{\text{2}}}\text{C=}\overset{\begin{smallmatrix} \text{H} \\ \text{ }\!\!|\!\!\text{ } \end{smallmatrix}}{\mathop{\text{C}}}\,-\text{COO}{{\text{C}}_{\text{2}}}{{\text{H}}_{5}}\] done clear
C) \[{{\text{H}}_{\text{2}}}\text{C=}\overset{\begin{smallmatrix} \text{H} \\ \text{ }\!\!|\!\!\text{ } \end{smallmatrix}}{\mathop{\text{C}}}\,-\text{CN}\] done clear
D) \[{{\text{H}}_{\text{2}}}\text{C=}\overset{\begin{smallmatrix} \text{C}{{\text{H}}_{\text{3}}} \\ \text{ }\!\!|\!\!\text{ } \end{smallmatrix}}{\mathop{\text{C}}}\,-\text{COOC}{{\text{H}}_{\text{3}}}\] done clear
View Answer play_arrowA) \[Mg{{(N{{O}_{3}})}_{2}}\] done clear
B) \[M{{g}_{3}}{{N}_{2}}\] done clear
C) \[N{{H}_{3}}\] done clear
D) \[MgO\] done clear
View Answer play_arrowA) \[FeBr_{4}^{-}\] done clear
B) \[Br_{{}}^{+}\] done clear
C) \[Br_{{}}^{-}\] done clear
D) \[B{{r}_{2}}\]molecule done clear
View Answer play_arrowquestion_answer12) Which of the following has a shape different from others?
A) \[{{[Zn{{(N{{H}_{3}})}_{4}}]}^{+2}}\] done clear
B) \[Ni{{(CO)}_{4}}\] done clear
C) \[{{[Cd{{(CN)}_{4}}]}^{-2}}\] done clear
D) \[{{[Cu{{(N{{H}_{3}})}_{4}}]}^{+2}}\] done clear
View Answer play_arrowquestion_answer13) Di-n-propyl ether and diallyl ether can be distinguished by
A) Acetic acid done clear
B) Sodium Metal done clear
C) Cold dilute \[KMn{{O}_{4}}\] solution done clear
D) \[PC{{l}_{5}}\] done clear
View Answer play_arrowA) \[T{{i}^{3+}}>T{{i}^{4+}}\] done clear
B) \[M{{n}^{2+}}>M{{n}^{3+}}\] done clear
C) \[F{{e}^{2+}}>F{{e}^{3+}}\] done clear
D) \[C{{u}^{+}}>C{{u}^{2+}}\] done clear
View Answer play_arrowA) \[C{{H}_{3}}C{{H}_{2}}C{{H}_{2}}MgCl,C{{H}_{3}}C{{H}_{2}}C{{H}_{2}}C{{H}_{2}}OH\] done clear
B) done clear
C) done clear
D) \[C{{H}_{3}}C{{H}_{2}}C{{H}_{2}}MgCl,C{{H}_{3}}C{{H}_{2}}OC{{H}_{2}}C{{H}_{3}}\] done clear
View Answer play_arrowA) 8 done clear
B) 12 done clear
C) 3 done clear
D) 6 done clear
View Answer play_arrowquestion_answer17) Alcohols can be obtained from all methods except
A) hydroboration-oxidation done clear
B) oxymercuration-demercuration done clear
C) reduction of aldehyde/ketones with Zn-Hg/HCl done clear
D) fermentation of starch done clear
View Answer play_arrowquestion_answer18) Which of the following expressions is not true?
A) For a netural solution \[[{{H}^{+}}]=[O{{H}^{-}}]=\sqrt{{{K}_{w}}}\] done clear
B) For an acidic solution\[[{{H}^{+}}]>\sqrt{{{K}_{w}}}\] and\[[O{{H}^{-}}]<\sqrt{{{K}_{w}}}\] done clear
C) For an alkaline solution\[[{{H}^{+}}]<\sqrt{{{K}_{w}}}\] and \[[O{{H}^{-}}]>\sqrt{{{K}_{w}}}\] done clear
D) For a neutral solution \[[{{H}^{+}}]=[O{{H}^{-}}]={{10}^{-7}}M\]at all temperatures done clear
View Answer play_arrowA) 1 done clear
B) 1.5 done clear
C) 2 done clear
D) 2.5 done clear
View Answer play_arrowquestion_answer20) The final product of the following sequence of reactions
A) 3-ethyl-2-methyl-l-hexanol done clear
B) 2,3-dimethyl-l-pentanol done clear
C) 2-ethyl-3-methyl-l-hexanol done clear
D) 3,3-dimethyl-l-pentanol done clear
View Answer play_arrowA) \[A{{s}_{2}}{{S}_{3}}\]and \[CdS\] done clear
B) \[CdS,NiS\]and ZnS done clear
C) NiS and ZnS done clear
D) Sulphide of all ions done clear
View Answer play_arrowA) \[3\times {{10}^{-3}}M\] done clear
B) \[7\times {{10}^{-2}}M\] done clear
C) \[2.89\times {{10}^{-4}}M\] done clear
D) \[2\times {{10}^{-2}}M\] done clear
View Answer play_arrowA) \[C{{H}_{3}}\overset{\bullet }{\mathop{C}}\,HC{{H}_{2}}Cl\] done clear
B) \[C{{H}_{3}}\overset{\oplus }{\mathop{C}}\,HC{{H}_{3}}\] done clear
C) \[C{{H}_{3}}C{{H}_{2}}\overset{\bullet }{\mathop{C}}\,{{H}_{2}}\] done clear
D) \[C{{H}_{3}}C{{H}_{2}}\overset{\oplus }{\mathop{C}}\,{{H}_{2}}\] done clear
View Answer play_arrowquestion_answer24) Which of the following is not an actinide?
A) Curium done clear
B) Californium done clear
C) Uranium done clear
D) Terbium done clear
View Answer play_arrowquestion_answer25) In the following 'compounds, the order of acidity is
A) III > IV > I > II done clear
B) I > IV >III > II done clear
C) II > I > III > IV done clear
D) IV > III > I < II done clear
View Answer play_arrowA) \[{{K}_{4}}[Fe{{(CN)}_{6}}]\] done clear
B) \[BaC{{l}_{2}}\] done clear
C) NaCl done clear
D) None done clear
View Answer play_arrowquestion_answer27) The reaction of with HBr gives
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) -0.22V done clear
B) + 0.22V done clear
C) -0.44V done clear
D) +0.44V done clear
View Answer play_arrowA) Naphthalene done clear
B) Tetralin done clear
C) Benzene done clear
D) Anthracene done clear
View Answer play_arrowA) +1 done clear
B) +2 done clear
C) +3 done clear
D) +4 done clear
View Answer play_arrowA) 6m & 3m done clear
B) 4m & 2m done clear
C) 6m & 2m done clear
D) 4m & 1m done clear
View Answer play_arrowA) - 0.495 Ns done clear
B) 0.495 Ns done clear
C) 495 Ns done clear
D) -495Ns done clear
View Answer play_arrowA) \[1/(1-{{n}^{2}})\] done clear
B) \[1/(1-{{n}^{2}})\] done clear
C) (c)O\[\{1-(1/{{n}^{2}})\}\] done clear
D) O\[\{1/(1-{{n}^{2}})\}\] done clear
View Answer play_arrowA) 2R/3 done clear
B) R/2 done clear
C) R/4 done clear
D) R/6 done clear
View Answer play_arrowA) O (GM/2L) done clear
B) O (GM/L) done clear
C) O (2GM/L) done clear
D) O (GM/3L) done clear
View Answer play_arrowA) \[\frac{2Gr}{M+m}\] done clear
B) \[\sqrt{\frac{2Gr}{M+m}}\] done clear
C) \[\frac{2G(M+m)}{r}\] done clear
D) \[\sqrt{\frac{2G(M+m)}{r}}\] done clear
View Answer play_arrowA) \[v\cos \left( \frac{1}{2}\theta \right)\] done clear
B) \[2v\cos \left( \frac{1}{2}\theta \right)\] done clear
C) \[v(1+\sin \theta )\] done clear
D) \[v(1+\cos \theta )\] done clear
View Answer play_arrowStatement 1: The tyres of aircrafts are slightly conducting. |
Statement 2: If a conductor is connected to ground, the extra charge induced on conductor will flow to ground. |
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) \[{{R}^{n}}\] done clear
B) \[{{R}^{-n}}\] done clear
C) \[{{R}^{(n+1)2}}\] done clear
D) \[{{R}^{(n-1)/2}}\] done clear
View Answer play_arrowA) 10:19:7 done clear
B) 8:3:9 done clear
C) 8:5.7:6.3 done clear
D) 8:9.5:4.3 done clear
View Answer play_arrowA) 2 done clear
B) 2O2 done clear
C) 4 done clear
D) 8 done clear
View Answer play_arrowA) 900 cal. done clear
B) 625 cal. done clear
C) 750 cal. done clear
D) 1000 cal. done clear
View Answer play_arrowA) \[C=0\] done clear
B) \[C={{C}_{v}}\] done clear
C) \[C>{{C}_{v}}\] done clear
D) \[C<{{C}_{v}}\] done clear
View Answer play_arrowA) \[\frac{Q({{R}^{2}}+{{r}^{2}})}{4\pi {{\varepsilon }_{0}}(R+r)}\] done clear
B) \[\frac{Q}{R+r}\] done clear
C) Zero done clear
D) \[\frac{Q(R+r)}{4\pi {{\varepsilon }_{0}}({{R}^{2}}+{{r}^{2}})}\] done clear
View Answer play_arrowStatement-1: A paramagnetic sample display greater magnetisation (for the same magnetic field) when cooled. |
Statement-2: The magnetisation does not depend on temperature. |
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) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) [2(E-V)V]/R done clear
B) [2(E-V)/V]R done clear
C) [(E-V)/V]R done clear
D) (E-V)R done clear
View Answer play_arrowA) zero done clear
B) \[4\pi \lambda {{\varepsilon }_{0}}\] done clear
C) \[\lambda /{{\varepsilon }_{0}}\] done clear
D) \[\lambda /4\pi {{\varepsilon }_{0}}\] done clear
View Answer play_arrowA) \[\frac{{{\mu }_{0}}}{2\pi a}({{I}_{1}}+{{I}_{2}})\] done clear
B) \[\frac{{{\mu }_{0}}}{2\pi a}({{I}_{1}}-{{I}_{2}})\] done clear
C) \[\frac{{{\mu }_{0}}}{2\pi a}{{\left[ I_{1}^{2}+I_{2}^{2} \right]}^{1/2}}\] done clear
D) \[\frac{{{\mu }_{0}}}{2\pi a}\left( \frac{I_{1}^{{}}I_{2}^{{}}}{{{I}_{1}}+{{I}_{2}}} \right)\] done clear
View Answer play_arrowA) \[\frac{MI}{t}\] done clear
B) \[\frac{NMI}{t}\] done clear
C) \[\frac{MN}{It}\] done clear
D) \[\frac{MI}{Nt}\] done clear
View Answer play_arrowA) \[\frac{{{i}^{2}}R}{\left( \omega L-\frac{l}{\omega C} \right)}\] done clear
B) zero done clear
C) \[{{i}^{2}}\omega L\] done clear
D) \[{{i}^{2}}R\] done clear
View Answer play_arrowA) 1 : 2 done clear
B) 2 : 1 done clear
C) 4 : 1 done clear
D) 1 : 4 done clear
View Answer play_arrowA) 110 done clear
B) 56 done clear
C) 60 done clear
D) 52 done clear
View Answer play_arrowA) 0.65 mm done clear
B) 1.63 mm done clear
C) 3.25 mm done clear
D) 4.88 mm done clear
View Answer play_arrowStatement 1: A person is standing near a railway track. A train is moving on the track. As train is approaching the person, apparent frequency keeps on increasing and when train has passed the person then apparent frequency keeps on decreasing. |
Statement 2: When train is approaching the person then \[f={{f}_{0}}\left [ \frac{c}{c-u} \right]\]and when tram is moving away from the person \[f={{f}_{0}}\left[ \frac{c}{c+u} \right],c\]is velocity of sound, u is velocity of train and \[{{f}_{0}}\] is original frequency of whistle. |
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) \[\sqrt{\left( {{A}_{1}}{{A}_{2}} \right)}\] done clear
B) \[\left( {{A}_{1}}{{A}_{2}} \right)/2\] done clear
C) \[\frac{{{\left( \sqrt{{{A}_{1}}}+\sqrt{{{A}_{2}}} \right)}^{2}}}{2}\] done clear
D) \[{{\left[ \frac{l}{{{A}_{1}}}+\frac{l}{{{A}_{2}}} \right]}^{-1}}\] done clear
View Answer play_arrowA) \[\tilde{\ }1.2\times {{10}^{12}}{{m}^{-3}}\] done clear
B) \[\tilde{\ }{{10}^{6}}{{m}^{-3}}\] done clear
C) \[\tilde{\ }{{10}^{14}}{{m}^{-3}}\] done clear
D) \[\tilde{\ }{{10}^{22}}{{m}^{-3}}\] done clear
View Answer play_arrowA) 400 done clear
B) 300 done clear
C) 200 done clear
D) 150 done clear
View Answer play_arrowA) 0.98 done clear
B) 0.97 done clear
C) 0.96 done clear
D) 0.94 done clear
View Answer play_arrowA) Vernier A done clear
B) Vernier B done clear
C) Accuracy in measurement does not depend on vernier constant done clear
D) Both A and B are equally accurate. done clear
View Answer play_arrowA) \[^{n+1}{{C}_{r-1}}\] done clear
B) \[^{n+2}{{C}_{r-1}}\] done clear
C) \[^{n+3}{{C}_{r-1}}\] done clear
D) \[^{n+4}{{C}_{r-1}}\] done clear
View Answer play_arrowA) 3n2 done clear
B) 2n2 done clear
C) 6n-2n2 done clear
D) 6n-n2 done clear
View Answer play_arrowA) \[b{{x}^{2}}+ax+1=0\] done clear
B) \[b{{x}^{2}}-ax+1=0\] done clear
C) \[b{{x}^{2}}+(a+2b)x+a+b+1=0\] done clear
D) \[b{{x}^{2}}-(a+2b)x+a+b+1=0\] done clear
View Answer play_arrowA) 1 done clear
B) 1+sin21 done clear
C) 1+cos21 done clear
D) 1/2 done clear
View Answer play_arrowquestion_answer65) If tan(A/2), tan(B/2), tan(C/2) are in A. P. then sec A, sec B, sec C are in
A) A.P. done clear
B) G.P. done clear
C) H.P. done clear
D) None done clear
View Answer play_arrowquestion_answer66) The straight line y = mx + c is a tangent to the parabola x2 = 4 by if
A) c = b/m done clear
B) c = - bm done clear
C) \[c=-b{{m}^{2}}\] done clear
D) \[c=\frac{b}{{{m}^{2}}}\] done clear
View Answer play_arrowA) \[\left( -6,\frac{18}{5} \right)\] done clear
B) \[\left( 6,\frac{18}{5} \right)\] done clear
C) \[\left( -6,\frac{18}{5} \right)\] done clear
D) \[\left( 6,-\frac{18}{5} \right)\] done clear
View Answer play_arrowA) \[x=y\] done clear
B) \[x+y=0\] done clear
C) \[x/{{a}^{2}}=y/{{b}^{2}}\] done clear
D) \[x/{{a}^{2}}+y/{{b}^{2}}=0\] done clear
View Answer play_arrowquestion_answer69) I= n/m means that n is a factor of m, then the relation T, is
A) Reflexive and symmetric done clear
B) Transitive and symmetric done clear
C) Reflexive, transitive and symmetric done clear
D) Reflexive, transitive and not symmetric done clear
View Answer play_arrowA) 2007 done clear
B) 2008 done clear
C) 20082 done clear
D) 20072 done clear
View Answer play_arrowquestion_answer71) Let If B is the inverse of matrix A, then a is
A) 5 done clear
B) -1 done clear
C) 2 done clear
D) -2 done clear
View Answer play_arrowA) 1 done clear
B) e done clear
C) Oe done clear
D) \[{{e}^{-1/2}}\] done clear
View Answer play_arrowquestion_answer73) Let \[f(x)={{(x-1)}^{2}}{{(x-2)}^{3}}{{e}^{x}}.\] Then
A) f (x) has local maximum at x = 1 done clear
B) f (x) has point of inflexion at x = 1 done clear
C) f (x) has local minimum at x = 2 done clear
D) all of these done clear
View Answer play_arrowA) 2/3 done clear
B) -2/3 done clear
C) 3/2 done clear
D) -3/23 done clear
View Answer play_arrowA) (0,1) done clear
B) (1,3) done clear
C) (2,3) done clear
D) (1,2) done clear
View Answer play_arrowA) \[y={{e}^{a}}^{(x-1)}\] done clear
B) \[y={{e}^{a}}^{(1-x)}\] done clear
C) \[y={{e}^{a/2}}^{(x-1)}\] done clear
D) \[{{e}^{a/2}}^{(x+1)}\] done clear
View Answer play_arrowA) \[\frac{(2m+1)!}{n!}\] done clear
B) \[\frac{(2m+1)!}{{{n}^{2}}}\] done clear
C) \[\int_{0}^{\pi }{{{\cos }^{2m+!}}}xdx\] done clear
D) none of these done clear
View Answer play_arrowquestion_answer78) If r(x) = f (x) and f(0) =2, then \[\int_{{}}^{{}}{\frac{f(x)}{3+4f(x)}}dx=\]
A) \[\log (3+8{{e}^{x}})+C\] done clear
B) \[\frac{1}{4}\log (3+8{{e}^{x}})+C\] done clear
C) \[\frac{1}{2}\log (3+8{{e}^{x}})+C\] done clear
D) none of these done clear
View Answer play_arrowquestion_answer79) The primitive of\[\frac{\sin x}{\sin 4x}\] is
A) \[\frac{1}{4}\log \left| \frac{\sin x-1}{\sin x+1} \right|-\frac{1}{\sqrt{2}}\log \left| \frac{\sqrt{2}\sin x-1}{\sqrt{2}\sin x+1} \right|+C\] done clear
B) \[\frac{1}{8}\log \left| \frac{\cos x-1}{\cos x+1} \right|-\frac{1}{2\sqrt{2}}\log \left| \frac{\sqrt{2}\cos x-1}{\sqrt{2}\cos x+1} \right|+C\] done clear
C) \[\frac{1}{8}\log \left| \frac{\sin x-1}{\sin x+1} \right|-\frac{1}{4\sqrt{2}}\log \left| \frac{\sqrt{2}\sin x-1}{\sqrt{2}\sin x+1} \right|+C\] done clear
D) none of these done clear
View Answer play_arrowA) \[\left( \frac{3}{2},\frac{1}{2},1 \right)\] done clear
B) \[\left( \frac{3}{2},1,\frac{1}{2} \right)\] done clear
C) \[\left( \frac{1}{2},\frac{3}{2},1 \right)\] done clear
D) None done clear
View Answer play_arrowA) \[{{l}_{1}}({{l}_{2}}-{{l}_{3}})+{{m}_{1}}({{m}_{2}}-{{m}_{3}})+{{n}_{1}}({{n}_{2}}-{{n}_{3}})=0\] done clear
B) \[{{l}_{1}}({{m}_{2}}{{n}_{3}}-{{m}_{3}}{{n}_{2}})+{{m}_{1}}({{n}_{2}}{{l}_{3}}-{{n}_{3}}{{l}_{2}})+{{n}_{1}}({{l}_{2}}{{m}_{3}}-{{l}_{3}}{{m}_{2}})=0\] done clear
C) done clear
D) None of these done clear
View Answer play_arrowA) \[\frac{1}{2}\sqrt{{{a}^{2}}+{{b}^{2}}+{{c}^{2}}}\] done clear
B) \[\frac{1}{2}\sqrt{{{b}^{2}}{{c}^{2}}+{{c}^{2}}{{a}^{2}}+{{a}^{2}}{{b}^{2}}}\] done clear
C) \[\frac{1}{2}\sqrt{ab+bc+ac}\] done clear
D) \[\frac{1}{2}\sqrt{{{a}^{2}}b+{{b}^{2}}c+{{c}^{2}}a}\] done clear
View Answer play_arrowquestion_answer83) If x +2=6, then x = 4. So, which statement is its converse?
A) If \[x\ne 4,\] then\[x+2\ne 6\] done clear
B) If x = 4. then \[x+2=6\] done clear
C) If x = 4, then x + 2 = 6 done clear
D) If, \[x\ne 4\] then x + 2 = 6 done clear
View Answer play_arrowA) f(M) done clear
B) M/2 done clear
C) f'(M) done clear
D) None done clear
View Answer play_arrowA) \[^{7}{{C}_{2}}\frac{{{5}^{5}}}{{{6}^{8}}}\] done clear
B) \[^{7}{{C}_{3}}\frac{{{5}^{3}}}{{{6}^{8}}}\] done clear
C) \[^{7}{{C}_{6}}\frac{{{5}^{6}}}{{{6}^{8}}}\] done clear
D) None done clear
View Answer play_arrowStatement-1: If \[\vec{a}=\vec{i}+\vec{j}\] and \[\vec{b}=\vec{j}-\vec{k}\] then \[(\vec{a}+\vec{b},\vec{a}-\vec{b})={{90}^{o}}\] |
Statement-2 : Projection of \[\vec{a}+\vec{b}\] on \[\vec{a}-\vec{b}\]is zero. |
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_answer87) Let A and B are two events such that P= 3/5 and P(B)= 2/3, then
Statement-1: \[\frac{4}{15}\le P(A\cap B)\le \frac{3}{5}.\] |
Statement-2: \[\frac{2}{5}\le P\left( \frac{A}{B} \right)\le \frac{9}{10}\] |
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_arrowStatement-1 : \[{{\overline{X}}_{1}}<\overline{X}<{{\overline{X}}_{2}}\] |
Statement-2: \[\overline{X}=\frac{{{\overline{X}}_{1}}+{{\overline{X}}_{2}}}{2}\] |
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_arrowStatement-1: The relation R is an equivalence relation. |
Statement-2: A relation R is an equivalence relation if it is reflexive, transitive and symmetric. |
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_arrowStatement 1: The rank of is 3 |
Statement 2: The determinant of the matrix is not equal to zero. |
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
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