question_answer1) IUPAC name of is
A) 1 -methyl-3 ethyl cyclohexane done clear
B) 1 -ethyl-3 methyl benzene done clear
C) 1 -ethyl-3 methyl cycio hexane done clear
D) Cycio hexane-1 -ethyl-3-methyl done clear
View Answer play_arrowquestion_answer2) Which of the following resonance structure is lowest in energy? A B C
A) A done clear
B) B done clear
C) C done clear
D) All have same energy done clear
View Answer play_arrowA) \[s{{p}^{2}},s{{p}^{3}}\] and \[s{{p}^{2}}\] respectively done clear
B) \[sp,s{{p}^{2}}\] and \[s{{p}^{3}}\] respectively done clear
C) \[s{{p}^{2}},sp\] and \[s{{p}^{3}}\] respectively done clear
D) \[s{{p}^{2}},s{{p}^{3}}\] and \[sp\] respectively done clear
View Answer play_arrowquestion_answer4) In a compound \[AOH,\]electronegativity of 'A' is \[2.1,\] the compound would be
A) Acidic done clear
B) Neutral towards acid & base done clear
C) Basic done clear
D) Amphoteric done clear
View Answer play_arrowquestion_answer5) Which of the following orders is wrong?
A) Electron affinity- \[-N<O<F<Cl\] done clear
B) 1st ionisation potential \[-Be<B<N<O\] done clear
C) Basic property \[-MgO<CaO<FeO<F{{e}_{2}}{{O}_{3}}\] done clear
D) Reactivity \[-Be<Li<K<Cs\] done clear
View Answer play_arrowquestion_answer6) The dipole moment of chlorobenzene is \[1.5D\]. The dipole moment of is
A) \[2.86\,D\] done clear
B) \[2.25\,\,D\] done clear
C) \[1.5\,\,D\] done clear
D) \[0\,\,D\] done clear
View Answer play_arrowquestion_answer7) Following substances are in solid state:
[A] Methane |
[B] Cesium chloride |
[C] Ice |
[D] Lithium |
A) C, D done clear
B) Only C done clear
C) Only B done clear
D) A, B and C done clear
View Answer play_arrowA) More ice will be formed done clear
B) More water will be formed done clear
C) Equilibrium will not be disturbed done clear
D) Water will evaporate done clear
View Answer play_arrowquestion_answer9) The energy levels for \[_{Z}{{A}^{(+Z-1)}}\] can be given by
A) \[{{E}_{n}}\] for \[{{A}^{(+Z-)}}={{Z}^{2}}\times {{E}_{n}}\] for H done clear
B) \[{{E}_{n}}\] for \[{{A}^{(+Z-1)}}=Z\times {{E}_{n}}\] for H done clear
C) \[{{E}_{n}}\] for \[{{A}^{(+Z-1)}}=\frac{1}{{{Z}^{2}}}\times {{E}_{n}}\] for H done clear
D) \[{{E}_{n}}\] for \[{{A}^{(+Z-1)}}=\frac{1}{Z}\times {{E}_{n}}\] for H done clear
View Answer play_arrowA) \[{{K}_{b}}={{K}_{w}}\] done clear
B) \[{{K}_{b}}=\frac{1}{{{K}_{w}}}\] done clear
C) \[{{K}_{a}}\times {{K}_{b}}={{K}_{w}}\] done clear
D) \[\frac{{{K}_{a}}}{{{K}_{b}}}={{K}_{w}}\] done clear
View Answer play_arrowA) \[5.97\] done clear
B) \[2.34\] done clear
C) \[9.60\] done clear
D) \[6.97\] done clear
View Answer play_arrowA) \[200\,kJ\,mo{{l}^{-1}}\] done clear
B) \[100\,kJ\,mo{{l}^{-1}}\] done clear
C) \[300\,kJ\,mo{{l}^{-1}}\] done clear
D) \[400\,kJ\,mo{{l}^{-1}}\] done clear
View Answer play_arrowA) Lower osmotic pressure done clear
B) Same osmotic pressure done clear
C) Higher osmotic pressure done clear
D) None of these done clear
View Answer play_arrowA) \[0.33\,V\] done clear
B) \[1.21\,V\] done clear
C) \[0.04\,V\] done clear
D) \[0.605\,V\] done clear
View Answer play_arrowA) \[SO_{3}^{2-}<{{S}_{2}}O_{4}^{2-}<{{S}_{2}}O_{6}^{2-}\] done clear
B) \[{{S}_{2}}O_{4}^{2-}<{{S}_{2}}O_{6}^{2-}<SO_{3}^{2-}\] done clear
C) \[{{S}_{2}}O_{6}^{2-}<{{S}_{2}}O_{4}^{2-}<SO_{3}^{2-}\] done clear
D) \[{{S}_{2}}O_{4}^{2-}<SO_{3}^{2-}<{{S}_{2}}O_{6}^{2-}\] done clear
View Answer play_arrowquestion_answer16) Which of the following statements is not correct?
A) \[C-Cl\] bond in vinyl chloride is less polar than in \[C{{H}_{3}}Cl\] done clear
B) \[C-Cl\] bond in vinyl chloride is stronger than in \[C{{H}_{3}}Cl\] done clear
C) \[C-Cl\] bond in vinyl chloride is shorter than in \[C{{H}_{3}}Cl\] done clear
D) Vmyle chloride undergo nucleophilic substitution more readily than \[C{{H}_{3}}Cl\] done clear
View Answer play_arrowquestion_answer17) Which of the following will not be soluble in sodium carbonate solution?
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) \[Al{{(N{{O}_{3}})}_{2}}\] done clear
B) \[AIN\] done clear
C) \[A{{l}_{2}}{{O}_{3}}\] done clear
D) \[A{{l}_{2}}{{(C{{O}_{3}})}_{2}}\] done clear
View Answer play_arrowA) \[Au\] done clear
B) \[Ag\] done clear
C) \[Hg\] done clear
D) \[Cu\] done clear
View Answer play_arrowA) Upper layer becomes violet done clear
B) Lower layer becomes violet done clear
C) Homogenous violet layer is formed done clear
D) None done clear
View Answer play_arrowA) increase the ionisation of the compound done clear
B) decrease the melting point of the compound done clear
C) increase the reactivity of the compound done clear
D) convert the covalent compound into a mixture of ionic compounds done clear
View Answer play_arrowA) \[Ca\] done clear
B) \[Ba\] done clear
C) \[Al\] done clear
D) \[Zn\] done clear
View Answer play_arrowA) \[CaC{{l}_{2}}\] done clear
B) \[BaC{{l}_{2}}\] done clear
C) \[CuC{{l}_{2}}\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer24) Which of the following compound cannot used in preparation of iodoform?
A) \[C{{H}_{3}}CHO\] done clear
B) \[C{{H}_{3}}COC{{H}_{3}}\] done clear
C) \[HCHO\] done clear
D) 2-propanol done clear
View Answer play_arrowI. \[-CN\] |
II. \[-CBr{{(C{{H}_{3}})}_{2}}\] |
III. \[-COOH\] |
IV. \[-C{{H}_{2}}-\overset{O}{\mathop{\overset{||}{\mathop{C}}\,}}\,-OC{{H}_{3}}\] |
V. \[V-\overset{O}{\mathop{\overset{||}{\mathop{C}}\,}}\,-H\] |
A) \[\text{II,III,V,I,IV}\] done clear
B) \[\text{V,II,I,IV,III}\] done clear
C) \[\text{III,IV,I,II,V}\] done clear
D) \[\text{II,V,I,IV,III}\] done clear
View Answer play_arrowquestion_answer26) Identify X in the sequence given:
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowExpt. No. | (1) | (2) | Initial Rate |
1 | \[0.012\] | \[0.035\] | \[0.10\] |
2 | \[0.024\] | \[0.070\] | \[0.80\] |
3 | \[0.024\] | \[0.035\] | \[0.10\] |
4 | \[0.012\] | \[0.070\] | \[0.80\] |
A) Rate \[=K{{[B]}^{3}}\] done clear
B) Rate \[=K{{[B]}^{4}}\] done clear
C) Rate \[=K[A]\,{{[B]}^{3}}\] done clear
D) Rate \[=K{{[A]}^{2}}{{[B]}^{2}}\] done clear
View Answer play_arrowA) \[C{{H}_{2}}=CH-C{{H}_{2}}-C{{H}_{2}}-C{{H}_{2}}-C{{H}_{2}}-C{{H}_{3}}\] done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) \[\frac{3\times 3}{0.5\times {{(1.5)}^{3}}}at{{m}^{-2}}\] done clear
B) \[0.5\times {{(1.5)}^{3}}at{{m}^{2}}\] done clear
C) \[\frac{0.5\times {{(1.5)}^{3}}}{3\times 3}at{{m}^{2}}\] done clear
D) \[\frac{{{(1.5)}^{3}}}{0.5}at{{m}^{-2}}\] done clear
View Answer play_arrowA) \[85.36%\] done clear
B) \[14.64%\] done clear
C) \[58.63%\] done clear
D) \[26.14%\] done clear
View Answer play_arrowA) \[190\,k\Omega \] done clear
B) \[90\,k\Omega \] done clear
C) \[290\,k\Omega \] done clear
D) \[390\,k\Omega \] done clear
View Answer play_arrowA) \[2.3\text{ }cm/sec,\] done clear
B) \[5.3\text{ }cm/sec.\] done clear
C) \[0.44\text{ }cm/sec,\] done clear
D) None of these done clear
View Answer play_arrowA) \[\frac{{{T}_{0}}}{\sqrt{7}}\] done clear
B) \[\sqrt{7}{{T}_{0}}\] done clear
C) \[7\,\,{{T}_{0}}\] done clear
D) \[7\sqrt{7}\,\,{{T}_{0}}\] done clear
View Answer play_arrowA) The resistance of \[Al\] will increase and that of \[Si\] will decrease done clear
B) The resistance of \[Al\] will decrease and that of \[Si\] will increase done clear
C) Resistance of both decrease done clear
D) Resistnance of both increase done clear
View Answer play_arrowquestion_answer35) For Doppler's effect, which of the following is a correct statement
(I) During observer motion both frequency and wavelength will change |
(II) During source motion both frequency and wavelength will change |
(III) During source motion only frequency will change |
(IV) During observer motion only frequency will change |
A) I, II done clear
B) I, II done clear
C) II, III done clear
D) II, IV done clear
View Answer play_arrowA) Velocity of light for violet is greater than the velocity of light for red colour. done clear
B) Velocity of light for violet is less than the velocity of light for red. done clear
C) Velocity of light is the same for all colours done clear
D) Velocity of light for differnet colours has nothing to do with the phenomenon of dispersion done clear
View Answer play_arrowA) \[{{99}^{o}}C,{{37}^{o}}C\] done clear
B) \[{{124}^{o}}C,{{62}^{o}}C\] done clear
C) \[{{37}^{o}}C,{{99}^{o}}C\] done clear
D) \[{{62}^{o}}C,{{124}^{o}}C\] 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) \[{{T}_{1}}=\frac{1}{2}{{T}_{2}}\] done clear
View Answer play_arrowA) find a deflection in the galvanometer towards left done clear
B) find a deflection in the galvanometer towards right done clear
C) find no deflection in the galvanometer done clear
D) find a maximum deflection in the galvanometer done clear
View Answer play_arrowA) \[10\,cm\] done clear
B) \[15\,cm\] done clear
C) \[20\,cm\] done clear
D) \[5\,cm\] done clear
View Answer play_arrowA) \[6.275\,mm\] done clear
B) \[6.375\,mm\] done clear
C) \[5.75\,mm\] done clear
D) \[5.50\,mm\] done clear
View Answer play_arrowA) \[0.125\Omega \] done clear
B) \[2\,\Omega \] done clear
C) \[0.75\,\,\Omega \] done clear
D) \[0.25\,\,\Omega \] done clear
View Answer play_arrowA) \[\pi /2\] done clear
B) \[\pi /4\] done clear
C) \[\pi /6\] done clear
D) \[\pi /8\] done clear
View Answer play_arrowquestion_answer44) Choose the wrong statement from the following
A) a metre bridge can be used to determine the emf of a primary cell done clear
B) a metre bridge works on the principle of Wheatstone bridge done clear
C) a potentiometer is used to compare the emfs of two primary cells done clear
D) a millimeter can be used as an ohmmeter done clear
View Answer play_arrowA) \[0,0\] done clear
B) \[0,-3\,kg\,m{{s}^{-1}}\] done clear
C) \[+3\,kg\,m{{s}^{-1}},0\] done clear
D) \[+3\,kg\,m{{s}^{-1}},-3kg.m{{s}^{-1}}\] done clear
View Answer play_arrowA) cut off voltage done clear
B) zener voltage done clear
C) inverse voltage done clear
D) critical voltage done clear
View Answer play_arrowA) \[1.30\] done clear
B) \[1.17\] done clear
C) \[1.27\] done clear
D) \[1.5\] done clear
View Answer play_arrowA) \[0.38\text{ }MeV\] done clear
B) \[0.70\text{ }MeV\] done clear
C) \[1.40\text{ }MeV\] done clear
D) None done clear
View Answer play_arrowA) \[60%\] done clear
B) \[65%\] done clear
C) \[70%\] done clear
D) \[75%\] done clear
View Answer play_arrowA) \[1:5\] done clear
B) \[1:4\] done clear
C) \[1:2\] done clear
D) \[1:1\] done clear
View Answer play_arrowDIRECTIONS (Qs 51): Read the following passage and answer the questions that follows |
A block of mass \[15\text{ }kg\] is placed over a frictionless horizontal surface. Another block of mass \[10\text{ }kg\] is placed over it, that is connected with a light string passing over two pulleys fastened to the \[15\text{ }kg\] block. A force \[F=80N\]is applied horizontally to the free end of the string. Friction coefficient between two blocks is\[0.6\]. The portion of the string between \[10kg\] block and the upper pulley is horizontal. Pulley string and connecting rods are massless. (Take \[g=10\text{ }m/{{s}^{2}}\]) |
A) \[3.2\text{ }m/{{s}^{2}}\] done clear
B) \[2.0\text{ }m/{{s}^{2}}\] done clear
C) \[1.6\text{ }m/{{s}^{2}}\] done clear
D) \[0.8\text{ }m/{{s}^{2}}\] done clear
View Answer play_arrowDIRECTIONS (Qs 52): Read the following passage and answer the questions that follows |
A block of mass \[15\text{ }kg\] is placed over a frictionless horizontal surface. Another block of mass \[10\text{ }kg\] is placed over it, that is connected with a light string passing over two pulleys fastened to the \[15\text{ }kg\] block. A force \[F=80N\]is applied horizontally to the free end of the string. Friction coefficient between two blocks is\[0.6\]. The portion of the string between \[10kg\] block and the upper pulley is horizontal. Pulley string and connecting rods are massless. (Take \[g=10\text{ }m/{{s}^{2}}\]) |
A) \[8\text{ }m/{{s}^{2}}\] done clear
B) \[4\text{ }m/{{s}^{2}}\] done clear
C) \[\text{3}\text{.2 }m/{{s}^{2}}\] done clear
D) \[\text{4}\text{.8 }m/{{s}^{2}}\] done clear
View Answer play_arrowStatement-1: When two semiconductor of p and n type are brought in contact, they form p-n junction which act like a rectifier. |
Statement-2: A rectifier is used to convert alternating current into direct current. |
A) Statement-1 is false, Statement - 2 is true. done clear
B) Statement-1 is false, Statement - 2 is true. Statement-2 is a correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement -2 is true; Statement -2 is not a correct explanation for Statement -1 done clear
D) Statement-1 is true, Statement-2 is false done clear
View Answer play_arrowStatement 1: A nucleus at rest splits into two nuclear parts having radii in the ratio\[1:2\]. Their velocities will be in the ratio \[8:1\]. |
Statement 2: The radius of a nucleus is proportional to the cube root of its mass number. |
A) Statement-1 is false, Statement - 2 is true. done clear
B) Statement-1 is false, Statement - 2 is true. Statement-2 is a correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement -2 is true; Statement -2 is not a correct explanation for Statement -1 done clear
D) Statement-1 is true, Statement-2 is false done clear
View Answer play_arrowA) \[\frac{\mu m}{M}g\] done clear
B) \[\frac{\mu mg}{M+m}\] done clear
C) \[\frac{3\mu mg}{M}\] done clear
D) \[\frac{2\mu mg}{M+m}\] done clear
View Answer play_arrowA) \[{{K}_{1}}+{{K}_{2}}\] done clear
B) \[{{K}_{1}}{{d}_{1}}+{{K}_{2}}{{d}_{2}}\] done clear
C) \[\frac{{{d}_{1}}{{K}_{1}}+{{d}_{2}}{{K}_{2}}}{{{d}_{1}}+{{d}_{2}}}\] done clear
D) \[\frac{{{d}_{1}}+{{d}_{2}}}{({{d}_{1}}/{{K}_{1}}+{{d}_{2}}/{{K}_{2}})}\] done clear
View Answer play_arrowA) \[15\text{ }kg\] done clear
B) \[10\text{ }kg\] done clear
C) \[5\,kg\] done clear
D) \[0\,kg\] done clear
View Answer play_arrowA) \[y=\frac{a}{\sqrt{2}}\] done clear
B) \[y=\frac{a}{2}\] done clear
C) \[y=\frac{a}{\sqrt{3/2}}\] done clear
D) \[y=a\] done clear
View Answer play_arrowA) \[\frac{3{{\mu }_{0}}}{2\pi }\] done clear
B) \[\frac{{{\mu }_{0}}}{\pi }\] done clear
C) \[\frac{\sqrt{3}{{\mu }_{0}}}{2\pi }\] done clear
D) \[\frac{{{\mu }_{0}}}{2\pi }\] done clear
View Answer play_arrowA) \[\frac{1}{\pi (2\pi fL-R)}\] done clear
B) \[\frac{1}{2\pi (2\pi fL-R)}\] done clear
C) \[\frac{1}{\pi f(2\pi fL+R)}\] done clear
D) \[\frac{1}{2\pi f(2\pi fL+R)}\] done clear
View Answer play_arrowA) \[6\] done clear
B) \[9\] done clear
C) \[18\] done clear
D) \[24\] done clear
View Answer play_arrowA) \[{{\left( \frac{1}{10} \right)}^{5}}\] done clear
B) \[{{\left( \frac{9}{10} \right)}^{5}}\] done clear
C) \[\frac{9}{{{10}^{5}}}\] done clear
D) \[\frac{1}{5}\] done clear
View Answer play_arrowA) \[\pi \] done clear
B) \[\frac{\pi }{2}\] done clear
C) \[\frac{\pi }{4}\] done clear
D) None done clear
View Answer play_arrowA) \[\frac{1}{9}\] done clear
B) \[\frac{1}{4}\] done clear
C) \[\frac{7}{12}\] done clear
D) \[\frac{5}{12}\] done clear
View Answer play_arrowquestion_answer65) The value of\[\sum\limits_{r=1}^{5}{\frac{^{n}{{C}_{r}}}{^{n}{{C}_{r-1}}}=}\]
A) \[5(n-3)\] done clear
B) \[5(n-2)\] done clear
C) \[5n\] done clear
D) \[5(2n-9)\] done clear
View Answer play_arrowquestion_answer66) \[^{14}{{C}_{7}}+\sum\limits_{i=1}^{3}{^{17-i}{{C}_{6}}=}\]
A) \[^{16}{{C}_{7}}\] done clear
B) \[^{17}{{C}_{7}}\] done clear
C) \[^{17}{{C}_{8}}\] done clear
D) \[^{16}{{C}_{8}}\] done clear
View Answer play_arrowquestion_answer67) If\[y=A\sin \omega t\]then\[\frac{{{d}^{5}}y}{d{{t}^{5}}}=\]
A) \[A{{\omega }^{5}}\cos \left( \omega t-\frac{\pi }{2} \right)\] done clear
B) \[A{{\omega }^{5}}\sin \left( \omega t-\frac{\pi }{2} \right)\] done clear
C) \[A{{\omega }^{5}}\cos \left( \omega t+\frac{\pi }{2} \right)\] done clear
D) \[A{{\omega }^{5}}\sin \left( \omega t+\frac{\pi }{2} \right)\] done clear
View Answer play_arrowA) \[5\] done clear
B) \[6\] done clear
C) \[7\] done clear
D) \[8\] done clear
View Answer play_arrowA) \[{{\cos }^{-1}}\left( \frac{4}{9} \right)\] done clear
B) \[{{\cos }^{-1}}\left( \frac{3}{9} \right)\] done clear
C) \[{{\cos }^{-1}}\left( \frac{2}{9} \right)\] done clear
D) \[{{\cos }^{-1}}\left( \frac{1}{9} \right)\] done clear
View Answer play_arrowquestion_answer70) The contrapositive of\[(p\wedge q)\Rightarrow r\]is
A) \[r\Rightarrow (p\vee q)\] done clear
B) \[\tilde{\ }r\Rightarrow (p\vee q)\] done clear
C) \[\tilde{\ }r\Rightarrow \tilde{\ }p\wedge \tilde{\ }q\] done clear
D) \[p\Rightarrow (q\vee r)\] done clear
View Answer play_arrowA) \[(4,\,\,9,\,\,-3)\] done clear
B) \[(4,\,\,3,\,\,5)\] done clear
C) \[(4,\,\,3,\,\,-3)\] done clear
D) \[(4,\,\,-3,\,\,9)\] done clear
View Answer play_arrowA) \[\frac{36}{91}\] done clear
B) \[\frac{25}{91}\] done clear
C) \[\frac{41}{91}\] done clear
D) \[\frac{30}{91}\] done clear
View Answer play_arrowA) \[\frac{2}{5}\] done clear
B) \[\frac{3}{5}\] done clear
C) \[\frac{4}{5}\] done clear
D) \[\frac{1}{5}\] done clear
View Answer play_arrowquestion_answer74) If\[f(x)=|x-2|\] and \[g(x)=f(f(x))\]then for\[x>10,\,\,g'(x)\]equal
A) \[-1\] done clear
B) \[0\] done clear
C) \[1\] done clear
D) \[2x-4\] done clear
View Answer play_arrowA) \[A.P.\] done clear
B) \[GP.\] done clear
C) \[H.P.\] done clear
D) None done clear
View Answer play_arrowA) \[\frac{15!}{10!5!}{{3}^{10}}\] done clear
B) \[-\frac{15!}{10!5!}{{3}^{10}}\] done clear
C) \[-\frac{15!{{3}^{5}}}{10!5!}\] done clear
D) \[-\frac{15!}{7!8!}{{3}^{8}}\] done clear
View Answer play_arrowA) \[\frac{\sum\limits_{i=1}^{n}{{{y}_{i}}}}{n}\] done clear
B) \[\frac{\sum\limits_{i=1}^{n}{{{y}_{i}}}}{\sum\limits_{i=1}^{n}{i}}\] done clear
C) \[\frac{\sum\limits_{i=1}^{n}{{{y}_{i}}}{{f}_{i}}}{n}\] done clear
D) \[\frac{\sum\limits_{i=1}^{n}{{{y}_{i}}}{{f}_{i}}}{\sum\limits_{i=1}^{n}{{{f}_{i}}}}\] done clear
View Answer play_arrowquestion_answer78) \[\int{\frac{dx}{(x-\beta )\sqrt{(x-\alpha )(\beta -x)}}}\]is
A) \[\frac{2}{\alpha -\beta }\sqrt{\frac{x-\alpha }{\beta -x}}+c\] done clear
B) \[\frac{2}{\alpha -\beta }\sqrt{(x-\alpha )(\beta -x)}+c\] done clear
C) \[\frac{\alpha -\beta }{2}(x-\alpha )\sqrt{\beta -x}\] done clear
D) none of these done clear
View Answer play_arrowA) intersect in a plane done clear
B) intersect in five points done clear
C) do not intersect done clear
D) None of these done clear
View Answer play_arrowLet\[{{I}_{n}}=\int\limits_{I}^{e}{{{(\ell nx)}^{n}}dx,\,\,n\in N}\] |
Statement-1: \[{{I}_{1}},\,\,\,{{I}_{2}},\,\,{{I}_{3}},...\]is an increasing sequence. |
Statement-2: \[\ln \,\,\,x\] is an increasing function. |
A) Statement-1 is false, Statement-2 is true. done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. done clear
D) Statement-1 is true, Statement-2 is false. done clear
View Answer play_arrowStatement-1: Range of\[f(x)=\sqrt{4-{{x}^{2}}}\]is\[[0,\,\,2]\]. |
Statement-2: \[f(x)\] is increasing for \[0\le x\le 2\] and decreasing for\[-2\le x\le 0\]. |
A) Statement-1 is false, Statement-2 is true. done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. done clear
D) Statement-1 is true, Statement-2 is false. done clear
View Answer play_arrowLet \[x,\,\,\,y,\,\,\,z\] are three integers lying between \[1\] and \[9\] such that \[x\,51,\,\,\,y\,41\] and \[z\,31\] are three digit numbers. |
Statement-1: The value of the determinant\[\left| \begin{matrix} 5 & 4 & 3 \\ x\,51 & y\,41 & z\,31 \\ x & y & z \\ \end{matrix} \right|is\,\,zero\]. |
Statement-2: The value of a determinant is zero if the entries in any two rows (or columns) of the determinant are correspondingly proportional. |
A) Statement-1 is false, Statement-2 is true. done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. done clear
D) Statement-1 is true, Statement-2 is false. done clear
View Answer play_arrowStatement-1: Slope of tangents drawn from \[(4,\,\,10)\]) to parabola\[{{y}^{2}}=9x\]are\[\frac{1}{4},\,\,\frac{9}{4}\] |
Statement-2: Every parabola is symmetric about its directrix |
A) Statement-1 is false, Statement-2 is true. done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. done clear
D) Statement-1 is true, Statement-2 is false. done clear
View Answer play_arrowStatement-1 : If \[{{x}^{2}}+x+1=0\] then the value of\[{{\left( x+\frac{1}{x} \right)}^{2}}+{{\left( {{x}^{2}}+\frac{1}{{{x}^{2}}} \right)}^{2}}+...+\left( {{x}^{27}}+\frac{1}{{{x}^{27}}} \right)\,\,\text{is}\,\,54.\] |
Statement-2: \[\omega ,\,\,\,{{\omega }^{2}}\] are the roots of given equation and\[x+\frac{1}{x}=-1,\,\,{{x}^{2}}+\frac{1}{{{x}^{2}}}=-1,\,\,{{x}^{3}}+\frac{1}{{{x}^{3}}}=2\] |
A) Statement-1 is false, Statement-2 is true. done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. done clear
D) Statement-1 is true, Statement-2 is false. 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_arrowquestion_answer86) If\[f'(x)=(x-1)(x-2)(x-3)\]then\[f(x)\]is monotonically increasing in
A) \[x<1\] done clear
B) \[x>3,\,\,x<1\] done clear
C) \[x>3,\,\,1<x<2\] done clear
D) \[x<1,\,\,2<x<3\] done clear
View Answer play_arrowA) \[0\] done clear
B) \[\frac{1}{3}\] done clear
C) \[\frac{1}{6}\] done clear
D) None done clear
View Answer play_arrowA) \[\frac{9}{4\pi }c{{m}^{3}}/\min \] done clear
B) \[\frac{1}{4\pi }c{{m}^{3}}/\min \] done clear
C) \[\frac{1}{9\pi }c{{m}^{3}}/\min \] done clear
D) \[\frac{4}{9\pi }c{{m}^{3}}/\min \] done clear
View Answer play_arrowA) \[5(y-3)2=\left( x-\frac{\sqrt{117}}{2} \right)\] done clear
B) \[2y-5x+10-2\sqrt{18}=0\] done clear
C) \[2y-5x-10-2\sqrt{18}=0\] done clear
D) None of these done clear
View Answer play_arrowA) \[\sqrt{3}\] done clear
B) \[\frac{1}{\sqrt{3}}\] done clear
C) \[\frac{3\sqrt{3}}{2}\] done clear
D) \[\frac{1}{2\sqrt{3}}\] done clear
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