A) The unit of \[ct\] is same as that of\[\lambda \]. done clear
B) The unit of \[x\] is same as that of\[\lambda \]. done clear
C) The unit of \[2\pi c/\lambda \] is same as that of \[2\pi \times /\lambda t\] done clear
D) The unit of \[c/\lambda \] is same as that of\[x/\lambda \]. done clear
View Answer play_arrowA) \[{{30}^{o}}\] done clear
B) \[{{45}^{o}}\] done clear
C) \[{{60}^{o}}\] done clear
D) \[{{75}^{o}}\] done clear
View Answer play_arrowA) 2/5 done clear
B) 2/7 done clear
C) 3/5 done clear
D) 3/7 done clear
View Answer play_arrowA) \[\frac{B}{p}\] done clear
B) \[\frac{p}{B}\] done clear
C) \[\frac{pD}{B}\] done clear
D) \[\frac{BD}{p}\] done clear
View Answer play_arrowA) \[\frac{4h}{{{R}^{2}}}\] done clear
B) \[4h{{R}^{2}}\] done clear
C) \[\frac{{{R}^{2}}}{4h}\] done clear
D) \[\frac{h}{4{{R}^{2}}}\] done clear
View Answer play_arrowA) 0.25 m from the charge \[1\times {{10}^{-9}}C\] done clear
B) 0.75 m from the charge \[9\times {{10}^{-9}}C\] done clear
C) Both [a] and [b] done clear
D) at all points on the line pining the charges done clear
View Answer play_arrowA) 6C done clear
B) C done clear
C) 2C done clear
D) \[\frac{C}{2}\] done clear
View Answer play_arrowA) 2% done clear
B) 4% done clear
C) 8% done clear
D) 1% done clear
View Answer play_arrowA) 0.2 A done clear
B) 0.6 A done clear
C) 0.8 A done clear
D) 1.2 A done clear
View Answer play_arrowA) 1 m done clear
B) 2 done clear
C) 3 m done clear
D) 4 m done clear
View Answer play_arrowA) \[6.72\times {{10}^{-4}}A\] done clear
B) \[6.72\times {{10}^{-5}}A\] done clear
C) \[6.72\times {{10}^{-6}}A\] done clear
D) \[6.72\times {{10}^{-7}}A\] done clear
View Answer play_arrowA) 58 m done clear
B) 50 m done clear
C) 60 m done clear
D) 65 m done clear
View Answer play_arrowA) \[{{30}^{o}}\] done clear
B) \[{{45}^{o}}\] done clear
C) \[{{60}^{o}}\] done clear
D) \[{{90}^{o}}\] done clear
View Answer play_arrowA) zero done clear
B) \[mga\] done clear
C) \[mga\,\sin \,\theta \] done clear
D) \[\frac{mga\,\,\sin \,\,\theta }{2}\] done clear
View Answer play_arrowA) \[4\,c{{m}^{3}}/s\] done clear
B) \[16/3\,\,c{{m}^{3}}/s\] done clear
C) \[8/17\,c{{m}^{3}}/s\] done clear
D) None of these done clear
View Answer play_arrowA) \[2\pi RE\] done clear
B) \[2\pi {{R}^{2}}E\] done clear
C) \[\pi {{R}^{2}}E\] done clear
D) \[\frac{4}{3}\,\pi {{R}^{3}}E\] done clear
View Answer play_arrowA) \[\frac{2}{3}\,m{{s}^{-2}}\] done clear
B) \[-\frac{2}{3}\,m{{s}^{-2}}\] done clear
C) \[\frac{20}{3}\,m{{s}^{-2}}\] done clear
D) \[-\frac{20}{3}\,m{{s}^{-2}}\] done clear
View Answer play_arrowA) \[0.98\,m{{s}^{-1}}\] done clear
B) \[9.8\,\,m{{s}^{-1}}\] done clear
C) \[1.96\,\,m{{s}^{-1}}\] done clear
D) \[19.6\,\,m{{s}^{-1}}\] done clear
View Answer play_arrowA) zero done clear
B) 3 m done clear
C) 6 m done clear
D) 9 m done clear
View Answer play_arrowA) A will have larger moment of inertia than B done clear
B) B will have larger moment of inertia than A done clear
C) in such a situation, it is dependent upon the height of the cone, the mass of the cone and radius of the base done clear
D) the moment of inertia of the two will be the same as it is not dependent upon height of the cone but depends only upon the mass and the base area done clear
View Answer play_arrowA) both \[{{c}_{1}}\] and \[{{c}_{2}}\] will move w.r.t. ground done clear
B) neither \[{{c}_{1}}\] and \[{{c}_{2}}\] will move w.r.t. ground done clear
C) \[{{c}_{1}}\] will move but \[{{c}_{2}}\] will be stationary w.r.t. ground done clear
D) \[{{c}_{2}}\] will move but \[{{c}_{1}}\], will be stationary w.r.t. ground done clear
View Answer play_arrowA) \[\frac{mgR}{6}\] done clear
B) \[\frac{mgR}{3}\] done clear
C) \[\frac{2mgR}{3}\] done clear
D) \[\frac{5}{6}\,mgR\] done clear
View Answer play_arrowA) 200 g done clear
B) 340 g done clear
C) 480 g done clear
D) 680 g done clear
View Answer play_arrowA) \[2\pi \sqrt{\frac{m}{2k}}\] done clear
B) \[2\pi \sqrt{\frac{2m}{k}}\] done clear
C) \[2\pi \sqrt{\frac{m}{4k}}\] done clear
D) \[2\pi \sqrt{\frac{4m}{k}}\] done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) \[{{W}_{1}}={{W}_{2}}={{U}_{B}}-{{U}_{A}}\] done clear
B) \[{{Q}_{1}}-{{Q}_{2}}={{U}_{A}}-{{U}_{B}}\] done clear
C) \[{{Q}_{1}}+{{W}_{1}}={{Q}_{2}}+{{W}_{2}}={{U}_{A}}+{{U}_{B}}\] done clear
D) \[{{Q}_{1}}+(-{{W}_{1}})={{Q}_{2}}+(-{{W}_{2}})={{U}_{B}}-{{U}_{A}}\] done clear
View Answer play_arrowA) \[\frac{3{{q}^{2}}}{4\pi {{\varepsilon }_{0}}{{a}^{2}}}\] done clear
B) \[\frac{4{{q}^{2}}}{4\pi {{\varepsilon }_{0}}{{a}^{2}}}\] done clear
C) \[\left( \frac{1+2\sqrt{2}}{2} \right)\frac{{{q}^{2}}}{2\pi {{\varepsilon }_{0}}{{a}^{2}}}\] done clear
D) \[\left( 2+\frac{1}{\sqrt{2}} \right)\frac{{{q}^{2}}}{4\pi {{\varepsilon }_{0}}{{a}^{2}}}\] done clear
View Answer play_arrowquestion_answer28) In the circuit shown in figure, the current through
A) the \[3\,\,\Omega \] resistor is 0.50 A done clear
B) the \[3\,\,\Omega \] resistor is 0.25 A done clear
C) the \[4\,\,\Omega \] resistor is 0.50 A done clear
D) the \[4\,\,\Omega \] resistor is 0.25 A done clear
View Answer play_arrowquestion_answer29) A blue object on a white background when seen through a blue filter will appear
A) blue on a white background done clear
B) black on a blue background done clear
C) blue on a red background done clear
D) invisible done clear
View Answer play_arrowA) \[\frac{4\pi \rho {{g}^{2}}}{3k}\] done clear
B) \[\frac{4\pi R\rho g}{k}\] done clear
C) \[\frac{4}{3}\,\frac{\rho g}{k{{R}^{2}}}\] done clear
D) \[\frac{4\rho g{{R}^{2}}}{3k}\] done clear
View Answer play_arrowA) 4 done clear
B) 5 done clear
C) 7 done clear
D) 8 done clear
View Answer play_arrowA) 120.8 done clear
B) 127 done clear
C) 152.4 done clear
D) 254 done clear
View Answer play_arrowquestion_answer33) The acidic order of the following acids is
A) I > II > III > IV > V done clear
B) l > II > III > V > lV done clear
C) I > III > II > IV > V done clear
D) ll > l > lll > IV > V done clear
View Answer play_arrowA) 5 done clear
B) 6 done clear
C) 7 done clear
D) 8 done clear
View Answer play_arrowquestion_answer35) The ratio of the radii of the first three Bohr orbits is
A) 1 : 0.5 : 0.33 done clear
B) 1 : 2 : 3 done clear
C) 1 : 4 : 9 done clear
D) 1 : 8 : 27 done clear
View Answer play_arrowquestion_answer36) The hybridization of the central atom in \[lCl_{2}^{+}\] is
A) \[ds{{p}^{2}}\] done clear
B) \[sp\] done clear
C) \[s{{p}^{2}}\] done clear
D) \[s{{p}^{3}}\] done clear
View Answer play_arrowA) \[{{V}_{1}}={{V}_{2}}={{V}_{3}}={{V}_{4}}\] done clear
B) \[{{V}_{4}}>{{V}_{3}}>{{V}_{2}}>{{V}_{1}}\] done clear
C) \[{{V}_{1}}={{V}_{2}},\,\,{{V}_{3}}={{V}_{4}}\] and \[{{V}_{2}}>{{V}_{3}}\] done clear
D) \[{{V}_{1}}={{V}_{2}},\,\,{{V}_{3}}={{V}_{4}}\] and \[{{V}_{2}}<{{V}_{3}}\] done clear
View Answer play_arrowA) increases with increase in pressure and temperature done clear
B) increases with increase in pressure and decrease in temperature done clear
C) depends on temperature only and decreases with increase in temperature done clear
D) increases with increasing-the concentration of 6 and increasing the temperature done clear
View Answer play_arrowA) \[2.8\times {{10}^{-3}}\] done clear
B) \[2.8\times {{10}^{-4}}\] done clear
C) \[2\times {{10}^{-7}}\] done clear
D) \[{{10}^{-7}}\] done clear
View Answer play_arrowA) \[{{k}_{1}}={{k}_{2}}\] done clear
B) \[{{k}_{1}}\times {{10}^{3}}={{k}_{2}}\] done clear
C) \[{{k}_{2}}\times {{10}^{3}}={{k}_{1}}\] done clear
D) \[{{k}_{1}}=10{{k}_{2}}\] done clear
View Answer play_arrowquestion_answer41) Which of the following leaves a black residue on addition of \[N{{H}_{3}}\]?
A) \[AgCl\] done clear
B) \[PbC{{l}_{2}}\] done clear
C) \[H{{g}_{2}}C{{l}_{2}}\] done clear
D) \[HgC{{l}_{2}}\] done clear
View Answer play_arrowquestion_answer42) The major product formed on monobromination in the following reaction is
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer43) Pure \[{{H}_{2}}S\] can be obtained by the action of water on
A) \[FeS\] done clear
B) \[A{{l}_{2}}{{S}_{3}}\] done clear
C) Flower of S done clear
D) None of these done clear
View Answer play_arrowA) 12.5% done clear
B) 25% done clear
C) 50% done clear
D) None of these done clear
View Answer play_arrowquestion_answer45) In the reaction, the product P is
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer46) Anhydrous \[AlC{{l}_{3}}\] fumes in air because of
A) dehydration done clear
B) hydration done clear
C) hydrolysis done clear
D) reduction done clear
View Answer play_arrowA) I and II done clear
B) I done clear
C) I and III done clear
D) I and IV done clear
View Answer play_arrowA) \[1.385\,\,cal/K\] done clear
B) \[-1.2\,\,cal/K\] done clear
C) \[1.2\,cal/K\] done clear
D) \[2.77\,cal/K\] done clear
View Answer play_arrowA) presence of basic group done clear
B) preferential adsorption of \[O{{H}^{-}}\] ion done clear
C) self dissociation done clear
D) electron capture by sol particles done clear
View Answer play_arrowA) \[B{{a}^{2+}}\] done clear
B) \[F{{e}^{2+}}\] done clear
C) \[M{{g}^{2+}}\] done clear
D) \[P{{b}^{2+}}\] done clear
View Answer play_arrowA) 0.1662 done clear
B) 0.1993 done clear
C) 0.3412 done clear
D) 0.5126 done clear
View Answer play_arrowA) 2 atm done clear
B) 7 atm done clear
C) 10 atm done clear
D) 12 atm done clear
View Answer play_arrowDirection (Q. Nos. 53): A solution of sucrose [M (mass) = 342] has been prepared In dissolving 68.4 g of sucrose in 1 kg of water. \[{{K}_{f}}\] for water is \[1.\,86\,kg\,\,mo{{l}^{-1}}\] and vapour pressure of water at 298 K is 0.024 atm. Assume density of the solution is 1 g/mL. |
A) 0.230 atm done clear
B) 0.233 atm done clear
C) 0.236 atm done clear
D) 0.0239 atm done clear
View Answer play_arrowDirection (Q. Nos. 54): A solution of sucrose [M (mass) = 342] has been prepared In dissolving 68.4 g of sucrose in 1 kg of water. \[{{K}_{f}}\] for water is \[1.\,86\,kg\,\,mo{{l}^{-1}}\] and vapour pressure of water at 298 K is 0.024 atm. Assume density of the solution is 1 g/mL. |
A) \[\text{ }0.684{}^\circ C\] done clear
B) \[\text{ }0.342{}^\circ C\] done clear
C) \[\text{ }0.372{}^\circ C\] done clear
D) \[\text{ }0.186{}^\circ C\] done clear
View Answer play_arrowDirection (Q. Nos. 55): A solution of sucrose [M (mass) = 342] has been prepared In dissolving 68.4 g of sucrose in 1 kg of water. \[{{K}_{f}}\] for water is \[1.\,86\,kg\,\,mo{{l}^{-1}}\] and vapour pressure of water at 298 K is 0.024 atm. Assume density of the solution is 1 g/mL. |
A) 4.89 atm done clear
B) 0.34 atm done clear
C) 0.24 atm done clear
D) 0.14 atm done clear
View Answer play_arrowDirection (Q. Nos. 56): Electrolysis involves electronation and de-electronation al the respective electrodes. Anode of electrolytic cell is the electrode at winch de-electronation takes place whereas at cathode electronation is noticed. If two or more ions of same charge are to be electronated or de-electronated, the ion having lesser discharge potential is discharged. Discharge potential of an ion refers for \[{{E}^{o}}{{\,}_{OP}}\] or \[{{E}^{o}}_{RP}\] as the case may be. The products formed at either electrode is given in terms of Faraday?s law of electrolysis, i.e., \[W=\frac{Eit}{96500}\] |
A) 1 : 2 done clear
B) 2 : 1 done clear
C) 1 : 3 done clear
D) 3 : 1 done clear
View Answer play_arrowDirection (Q. Nos. 57): Electrolysis involves electronation and de-electronation al the respective electrodes. Anode of electrolytic cell is the electrode at winch de-electronation takes place whereas at cathode electronation is noticed. If two or more ions of same charge are to be electronated or de-electronated, the ion having lesser discharge potential is discharged. Discharge potential of an ion refers for \[{{E}^{o}}{{\,}_{OP}}\] or \[{{E}^{o}}_{RP}\] as the case may be. The products formed at either electrode is given in terms of Faraday?s law of electrolysis, i.e., \[W=\frac{Eit}{96500}\] |
A) \[{{H}_{2}},\,C{{O}_{2}}\] and \[{{H}_{2}}\] done clear
B) \[{{H}_{2}},\,C{{O}_{2}}\] and \[{{O}_{2}}\] done clear
C) \[{{H}_{2}}\] and \[{{O}_{2}}\] done clear
D) \[{{O}_{2}}\] and \[{{H}_{2}}\] done clear
View Answer play_arrowDirection (Q. Nos. 58): Electrolysis involves electronation and de-electronation al the respective electrodes. Anode of electrolytic cell is the electrode at winch de-electronation takes place whereas at cathode electronation is noticed. If two or more ions of same charge are to be electronated or de-electronated, the ion having lesser discharge potential is discharged. Discharge potential of an ion refers for \[{{E}^{o}}{{\,}_{OP}}\] or \[{{E}^{o}}_{RP}\] as the case may be. The products formed at either electrode is given in terms of Faraday?s law of electrolysis, i.e., \[W=\frac{Eit}{96500}\] |
A) increases done clear
B) decreases done clear
C) remains the same done clear
D) first increases then decreases done clear
View Answer play_arrowDirection (Q. 59): For the following questions, choose the correct answers from the codes [a], [b], [c] and [d] defined as follows. |
Statement I Basic radicals have been divided into groups based on \[{{K}_{sp}}\] values. |
Statement II Most alkali salts are water soluble. |
A) Statement I is true. Statement II is also true and Statement II is the correct explanation of Statement I. done clear
B) Statement I is true. Statement II is also true and Statement II is not the correct explanation of Statement I. done clear
C) Statement I is true. Statement II is false. done clear
D) Statement I is false. Statement II is true. done clear
View Answer play_arrowDirection (Q. 60): For the following questions, choose the correct answers from the codes [a], [b], [c] and [d] defined as follows. |
Statement I \[C{{H}_{3}}OH\] and \[C{{H}_{3}}C{{H}_{2}}OH\] can be distinguished by iodoform test. |
Statement I Iodoform test is given by \[2{}^\circ \] alcohol always. |
A) Statement I is true. Statement II is also true and Statement II is the correct explanation of Statement I. done clear
B) Statement I is true. Statement II is also true and Statement II is not the correct explanation of Statement I. done clear
C) Statement I is true. Statement II is false. done clear
D) Statement I is false. Statement II is true. done clear
View Answer play_arrowA) \[ab\] done clear
B) 1 done clear
C) \[bc\] done clear
D) 0 done clear
View Answer play_arrowA) \[\sqrt{15}\] done clear
B) \[\sqrt{14}\] done clear
C) 7 done clear
D) \[\sqrt{7}\] done clear
View Answer play_arrowA) \[\frac{7}{12}\] done clear
B) \[\frac{1}{2}\] done clear
C) \[\frac{5}{12}\] done clear
D) None of these done clear
View Answer play_arrowA) \[{{\tan }^{-1}}\,\sqrt{\frac{{{r}^{2}}-{{b}^{2}}}{{{a}^{2}}-{{r}^{2}}}}\] done clear
B) \[{{\tan }^{-1}}\,\sqrt{\frac{{{r}^{2}}-{{a}^{2}}}{{{b}^{2}}-{{r}^{2}}}}\] done clear
C) \[{{\tan }^{-1}}\,\sqrt{\frac{{{r}^{2}}-{{b}^{2}}}{{{r}^{2}}-{{a}^{2}}}}\] done clear
D) \[{{\tan }^{-1}}\,\sqrt{\frac{{{r}^{2}}-{{a}^{2}}}{{{r}^{2}}-{{b}^{2}}}}\] done clear
View Answer play_arrowA) \[\frac{b}{a}\] done clear
B) \[\frac{a}{b}\] done clear
C) \[\frac{\pi }{4}\] done clear
D) \[\frac{\pi }{6}\] done clear
View Answer play_arrowA) \[2x-3y+3=0\] done clear
B) \[3x-2y+3=0\] done clear
C) \[21x-7y+1=0\] done clear
D) \[21x+7y-1=0\] done clear
View Answer play_arrowA) \[(1,\,\,1)\] done clear
B) \[(0,\,\,0)\] done clear
C) \[(9,\,\,2)\] done clear
D) \[(3,\,\,3)\] done clear
View Answer play_arrowA) \[k=\pm 1\] done clear
B) \[k=\pm \,a\] done clear
C) \[k=\pm \,\,\frac{1}{a}\] done clear
D) \[k=\pm \,\,2\] done clear
View Answer play_arrowA) 2 done clear
B) 3 done clear
C) 4 done clear
D) 5 done clear
View Answer play_arrowA) \[{{x}_{1}}\] done clear
B) \[{{x}_{51}}\] done clear
C) \[\frac{{{x}_{1}}+{{x}_{2}}+\,...+{{x}_{101}}}{101}\] done clear
D) \[{{x}_{50}}\] done clear
View Answer play_arrowA) 3 done clear
B) 4 done clear
C) 5 done clear
D) 6 done clear
View Answer play_arrowA) \[\left( \frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}} \right)=\frac{{{p}^{2}}{{x}^{2}}}{{{a}^{4}}}+\frac{{{q}^{2}}{{y}^{2}}}{{{b}^{4}}}\] done clear
B) \[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=\frac{{{x}^{2}}}{{{p}^{2}}}+\frac{{{y}^{2}}}{{{q}^{2}}}\] done clear
C) \[\left( \frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}} \right)=\frac{{{p}^{2}}}{{{a}^{2}}}+\frac{{{q}^{2}}}{{{b}^{2}}}\] done clear
D) \[\left( \frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}} \right)=\frac{{{p}^{2}}}{{{q}^{2}}}+\frac{{{a}^{2}}}{{{b}^{2}}}\] done clear
View Answer play_arrowA) \[x\,\in \,\left( -\infty ,\,\,{{\log }_{2}}\,\frac{4}{3} \right)\,\cup \,(1,\,\,\infty )\] done clear
B) \[x\,\in \,\left( {{\log }_{2}}\,\left( \frac{4}{3} \right),\,\,0 \right)\,\] done clear
C) \[x\,\in \,\left( {{\log }_{2}}\,\left( \frac{4}{3} \right),\,\,1 \right)\,\] done clear
D) Cannot say done clear
View Answer play_arrowquestion_answer74) Read the following mathematical statements carefully.
I. If \[x,\,\,y\] and z are all different real numbers, then \[\frac{1}{{{(x-y)}^{2}}}+\frac{1}{{{(y-z)}^{2}}}+\frac{1}{{{(z-x)}^{2}}}=\,{{\left( \frac{1}{x-y}+\frac{1}{y-z}+\frac{1}{z-x} \right)}^{2}}\] |
II. \[{{\log }_{3}}\,x\cdot \,{{\log }_{4}}\,x\,\cdot \,{{\log }_{5}}\,\,x\] \[=\,\,({{\log }_{3}}\,x\cdot \,{{\log }_{4}}\,x)\] \[+\,({{\log }_{4}}\,x\cdot \,{{\log }_{5}}\,x)+\,({{\log }_{5}}\,x\cdot {{\log }_{3}}\,x)\] is true for exactly for one real value of x. |
III. A matrix has 12 elements. Number of possible orders it can have a six. |
A) exactly one statement is correct done clear
B) exactly two statements are correct done clear
C) all statements are incorrect done clear
D) all statements are correct done clear
View Answer play_arrowquestion_answer75) \[\sum\limits_{r=1}^{20}{\,\sum\limits_{p\,=\,1}^{r}{{{p}^{2}}}}\] is equal to
A) 16170 done clear
B) 13300 done clear
C) 16100 done clear
D) None of these done clear
View Answer play_arrowA) \[\frac{n\cdot {{2}^{n-1}}}{{{2}^{n}}-1}-1\] done clear
B) \[\frac{n{{(-2)}^{n-1}}}{{{(-2)}^{n}}-1}-1\] done clear
C) \[\frac{n{{(-2)}^{n-1}}}{1+{{(-2)}^{n+1}}}-\frac{1}{3}\] done clear
D) None of these done clear
View Answer play_arrowA) \[\frac{\sqrt{5}-1}{4}\] done clear
B) \[\frac{\sqrt{5}-2}{4}\] done clear
C) \[\frac{\sqrt{5}-2}{8}\] done clear
D) \[\frac{\sqrt{5}-1}{8}\] done clear
View Answer play_arrowA) 320 done clear
B) 332 done clear
C) 342 done clear
D) 348 done clear
View Answer play_arrowquestion_answer79) If four dice are rolled once, the probability of getting the sum at least 10 is
A) \[\frac{61}{72}\] done clear
B) \[\frac{65}{72}\] done clear
C) \[\frac{121}{144}\] done clear
D) \[\frac{121}{216}\] done clear
View Answer play_arrowA) \[\frac{a}{b}\] done clear
B) \[\frac{a-1}{b}\] done clear
C) \[\frac{a+1}{b}\] done clear
D) \[\frac{a+1}{b+1}\] done clear
View Answer play_arrowA) \[\frac{7\pi }{12}\] done clear
B) \[\frac{7\pi }{6}\] done clear
C) \[\frac{7\pi }{3}\] done clear
D) \[\frac{7\pi }{2}\] done clear
View Answer play_arrowA) 2 done clear
B) 4 done clear
C) \[2\sqrt{2}\] done clear
D) \[3\sqrt{2}\] done clear
View Answer play_arrowA) 1 done clear
B) 2 done clear
C) \[\frac{1}{2}\] done clear
D) \[\frac{1}{3}\] done clear
View Answer play_arrowDirection: (Q. Nos. 84) Let \[\frac{dy}{dx}=\frac{1}{x+y}\,\] and \[y(0)=0\]. Then |
A) 1 done clear
B) 2 done clear
C) \[\frac{1}{2}\] done clear
D) - 2 done clear
View Answer play_arrowDirection: (Q. Nos. 85) Let \[\frac{dy}{dx}=\frac{1}{x+y}\,\] and \[y(0)=0\]. Then |
A) \[\frac{1}{2}\] done clear
B) \[\frac{e}{2}\] done clear
C) \[e-\frac{1}{2}\] done clear
D) \[e-\frac{5}{2}\] done clear
View Answer play_arrowDirection: (Q. Nos. 86) For \[x\in R,\,f(x)\] is defined as\[f(x)\,=\,\left\{ \begin{matrix} x+1, & 0\le x\le 2 \\ x-4, & x\ge 2 \\ \end{matrix} \right.\] . For \[x\in R,\,\,|x|\,=\,\left\{ \begin{matrix} x, & x\ge 0 \\ -x, & x<0 \\ \end{matrix} \right.\] |
A) \[\phi \] done clear
B) \[(0,\,\,1)\] done clear
C) \[\left[ \frac{1}{2},\,\,\frac{1}{2} \right]\] done clear
D) None of these done clear
View Answer play_arrowDirection: (Q. Nos. 87) For \[x\in R,\,f(x)\] is defined as \[f(x)\,=\,\left\{ \begin{matrix} x+1, & 0\le x\le 2 \\ x-4, & x\ge 2 \\ \end{matrix} \right.\] . For \[x\in R,\,\,|x|\,=\,\left\{ \begin{matrix} x, & x\ge 0 \\ -x, & x<0 \\ \end{matrix} \right.\] |
A) \[(4,\,\,\infty )\] done clear
B) \[(-\,\infty ,\,\,3)\] done clear
C) \[[3,\,\,4]\] done clear
D) None of these done clear
View Answer play_arrowDirection: (Q. Nos. 88) For the following questions, the correct answers from the codes (a), (b), (c) and (d) defined as follows. |
A) Statement I is true, Statement II is also true and Statement II is the correct explanation of Statement I. done clear
B) Statement I is true, Statement II is also true and Statement II is not the correct explanation of Statement I. done clear
C) Statement I is true, Statement II is false. done clear
D) Statement I is false, Statement II is true. done clear
View Answer play_arrowDirection: (Q. Nos. 89) For the following questions, the correct answers from the codes (a), (b), (c) and (d) defined as follows. |
A) Statement I is true, Statement II is also true and Statement II is the correct explanation of Statement I. done clear
B) Statement I is true, Statement II is also true and Statement II is not the correct explanation of Statement I. done clear
C) Statement I is true, Statement II is false. done clear
D) Statement I is false, Statement II is true. done clear
View Answer play_arrowDirection: (Q. Nos. 90) For the following questions, the correct answers from the codes (a), (b), (c) and (d) defined as follows. |
A) Statement I is true, Statement II is also true and Statement II is the correct explanation of Statement I. done clear
B) Statement I is true, Statement II is also true and Statement II is not the correct explanation of Statement I. done clear
C) Statement I is true, Statement II is false. done clear
D) Statement I is false, Statement II is true. done clear
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