A) \[\frac{{{T}_{1}}}{{{T}_{2}}}=\frac{1}{2}\] done clear
B) \[\frac{{{T}_{1}}}{{{T}_{2}}}=\frac{2}{1}\] done clear
C) \[\frac{{{T}_{1}}}{{{T}_{2}}}=\frac{1}{\sqrt{2}}\] done clear
D) \[\frac{{{T}_{1}}}{{{T}_{2}}}=\frac{\sqrt{2}}{1}\] done clear
View Answer play_arrowA) \[\sqrt{\frac{2gh}{(M+m){{r}^{2}}+l}}\] done clear
B) \[\sqrt{\frac{2(M+m)gh}{(M-m){{r}^{2}}+l}}\] done clear
C) \[\sqrt{\frac{2Mgh}{(M-m){{r}^{2}}+l}}\] done clear
D) \[\sqrt{\frac{2(M-m)gh}{(M+m){{r}^{2}}+l}}\] done clear
View Answer play_arrowquestion_answer3) The equivalent capacitance between M and N is
A) \[8\mu F\] done clear
B) \[2\mu F\] done clear
C) \[4\mu F\] done clear
D) \[6\mu F\] done clear
View Answer play_arrowA) \[1000\alpha {{\beta }^{-1}}{{\gamma }^{-1}}\] done clear
B) \[10\alpha {{\beta }^{-1}}{{\gamma }^{-1}}\] done clear
C) \[0.1{{\alpha }^{-1}}\beta \gamma \] done clear
D) \[0.01{{\alpha }^{-1}}\beta \gamma \] done clear
View Answer play_arrowA) \[\frac{R}{4}\]from the centre done clear
B) \[\frac{R}{3}\]from the centre done clear
C) \[\frac{R}{5}\]from the centre done clear
D) \[\frac{R}{6}\]from the centre done clear
View Answer play_arrowA) \[\frac{1}{101}\Omega \] done clear
B) \[\frac{1}{100}\Omega \] done clear
C) \[\frac{1}{99}\Omega \] done clear
D) \[\frac{1}{9}\Omega \] done clear
View Answer play_arrowA) \[{{n}_{1}}=4;{{n}_{2}}=1\] done clear
B) \[{{n}_{1}}=8,{{n}_{2}}=2\] done clear
C) \[{{n}_{1}}=6,{{n}_{2}}=2\] done clear
D) \[{{n}_{1}}=4,{{n}_{2}}=2\] done clear
View Answer play_arrowA) 6.25 A, 3.75 V done clear
B) 3.00 A, 5 V done clear
C) 3.75 A, 3.75V done clear
D) 3.75 A, 6.25 V done clear
View Answer play_arrowA) \[\frac{1}{r}\] done clear
B) \[\frac{1}{{{r}^{2}}}\] done clear
C) \[{{r}^{2}}\] done clear
D) \[r\] done clear
View Answer play_arrowA) if\[{{m}_{1}}<{{m}_{2}}\], then normal reaction between blocks will be non-zero done clear
B) if\[{{m}_{1}}={{m}_{2}}\]then normal reaction between the blocks will be zero done clear
C) if\[{{\mu }_{1}}={{\mu }_{2}}\], then normal reaction between the blocks will be zero done clear
D) None of the above done clear
View Answer play_arrowA) is on left of its mid-point done clear
B) is on right of its mid-point done clear
C) is coinciding with its mid-point done clear
D) information is insufficient done clear
View Answer play_arrowquestion_answer12) For a system of two springs and block system, choose the correct option.
A) for the equilibrium position (about which oscillation occur), the stretch is\[x=\frac{mg}{k}\] done clear
B) the time period of oscillation is\[2\pi \sqrt{\frac{m}{2k}}\] done clear
C) Both [a] and [b] are correct done clear
D) Both [c] and [b] are incorrect done clear
View Answer play_arrowA) \[(-{{i}_{1}}-{{i}_{2}}+{{i}_{3}}){{\mu }_{0}}\] done clear
B) \[(-{{i}_{1}}+{{i}_{2}}){{\mu }_{0}}\] done clear
C) \[{{i}_{3}}{{\mu }_{0}}\] done clear
D) \[({{i}_{1}}+{{i}_{2}}){{\mu }_{0}}\] done clear
View Answer play_arrowquestion_answer14) The relation between\[{{v}_{1}}\]and\[{{v}_{2}}\]is
A) \[{{v}_{1}}=\frac{{{v}_{2}}}{\sin \theta }\] done clear
B) \[{{v}_{1}}={{v}_{2}}\] done clear
C) \[{{v}_{2}}=\frac{{{v}_{1}}}{\sin \theta }\] done clear
D) \[d{{v}_{1}}={{v}_{2}}\cos \theta \] done clear
View Answer play_arrowquestion_answer15) In the figure shown, the magnetic field at the point P is
A) \[\frac{2{{\mu }_{0}}i}{3\pi a}\sqrt{4-{{\pi }^{2}}}\] done clear
B) \[\frac{2{{\mu }_{0}}i}{3\pi a}\sqrt{4+{{\pi }^{2}}}\] done clear
C) \[\frac{2{{\mu }_{0}}i}{3\pi a}(4+{{\pi }^{2}})\] done clear
D) \[\frac{2{{\mu }_{0}}i}{3\pi a}(4-{{\pi }^{2}})\] done clear
View Answer play_arrowA) only C done clear
B) L and C done clear
C) L and R done clear
D) R and C done clear
View Answer play_arrowA) \[R=50\Omega \,C=200\mu F\] done clear
B) \[R=50\,\Omega \,L=2mH\] done clear
C) \[R=400\,\Omega ,\,C=50\mu F\] done clear
D) \[R=50\,\Omega ,\,L=02H\] done clear
View Answer play_arrowA) increase exponentially with constant\[4\times {{10}^{-3}}\]s done clear
B) decrease exponentially with time constant\[1\times {{10}^{-2}}\] done clear
C) oscillate with angular frequency\[20\,{{s}^{-1}}\] done clear
D) first increase and then decrease done clear
View Answer play_arrowA) \[{{\omega }_{1}}={{\omega }_{2}}\] done clear
B) \[{{\omega }_{1}}>{{\omega }_{2}}\] done clear
C) \[{{\omega }_{1}}<{{\omega }_{2}}\] done clear
D) Information insufficient done clear
View Answer play_arrowA) \[\alpha =\beta \] done clear
B) \[\alpha >\beta \] done clear
C) \[\alpha <\beta \] done clear
D) All are possible depending upon\[\alpha \] done clear
View Answer play_arrowA) \[\frac{\pi }{3}\] done clear
B) \[\frac{4\pi }{3}\] done clear
C) \[\frac{3\pi }{3}\] done clear
D) \[\frac{5\pi }{6}\] done clear
View Answer play_arrowquestion_answer22) For a capacitor Q = CV, so choose the correct option.
A) Q is the net charge on the capacitor done clear
B) C depends on Q and V done clear
C) C do not depend on Q done clear
D) V is the potential of a single plate of the capacitor (if we assuming parallel plate capacitor) done clear
View Answer play_arrowquestion_answer23) The value of time constant for given circuit is
A) 1s done clear
B) 2 s done clear
C) 3 s done clear
D) 4 s done clear
View Answer play_arrowA) Both decrease by 4% done clear
B) g decrease by 4% and K decrease by 2% done clear
C) Both decrease by 2% done clear
D) g decrease by 4% and K increase by 4% done clear
View Answer play_arrowA) \[\frac{a{{t}^{2}}}{3}\] done clear
B) \[\frac{a{{t}^{2}}}{2}\] done clear
C) \[a{{t}^{2}}\] done clear
D) \[\frac{a{{t}^{2}}}{4}\] done clear
View Answer play_arrowA) \[\frac{aL}{2g}\] done clear
B) \[\frac{gL}{2a}\] done clear
C) \[\frac{gL}{a}\] done clear
D) \[\frac{aL}{g}\] done clear
View Answer play_arrowA) \[\tilde{\ }{{10}^{10}}/{{m}^{-3}}\] done clear
B) \[\tilde{\ }{{10}^{11}}{{m}^{-3}}\] done clear
C) \[\tilde{\ }{{10}^{12}}{{m}^{-3}}\] done clear
D) \[\tilde{\ }{{10}^{13}}{{m}^{-3}}\] done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowStatement I Work done by static friction could be negative. |
Statement II When static friction acts on a body that body must have zero KE. |
A) Both Statement I and Statement II are true and the Statement II is the correct explanation of the Statement I done clear
B) Both Statement I and Statement II are true but the Statement II is not the correct explanation of the Statement I done clear
C) Statement I is true but Statement II is false done clear
D) Both Statement I and Statement II are false done clear
View Answer play_arrowStatement I A ball is left from a tower. The ball will cover same distance in consecutive seconds. |
Statement II The distance covered in a second for free fall\[=\frac{1}{2}g{{t}^{2}}\]. |
A) Both Statement I and Statement II are true and the Statement II is the correct explanation of the Statement I done clear
B) Both Statement I and Statement II are true but the Statement II is not the correct explanation of the Statement I done clear
C) Statement I is false but Statement II is true done clear
D) Both Statement I and Statement II are false done clear
View Answer play_arrowA) (II), (III) done clear
B) (II), (I) done clear
C) (I), (III), (IV) done clear
D) All have X-O-X linkage done clear
View Answer play_arrowquestion_answer32) Associated colloids
A) raise both surface tension and viscosity done clear
B) have greater concentration at the surface layer than the bulk of the solution done clear
C) lower both the surface tension and viscosity done clear
D) lower the surface tension and raise the viscosity of \[{{H}_{2}}O\] done clear
View Answer play_arrowquestion_answer33) Which of the following compound does not formed during Lassaigne's test?
A) ferricferro cyanide done clear
B) ferricthiocyanide done clear
C) silver chloride done clear
D) ferric cyanide done clear
View Answer play_arrowA) \[{{K}_{3}}P{{O}_{4}}\] done clear
B) \[KBr\] done clear
C) \[{{K}_{2}}C{{O}_{3}}\] done clear
D) Kl done clear
View Answer play_arrowA) \[6\pi {{a}_{0}}\] done clear
B) \[4\pi {{a}_{0}}\] done clear
C) \[2\pi {{a}_{0}}\] done clear
D) \[\pi {{a}_{0}}\] done clear
View Answer play_arrowA) 3 done clear
B) 4 done clear
C) 6 done clear
D) 8 done clear
View Answer play_arrowA) \[\frac{7{{M}^{4}}}{54{{x}^{4}}}\] done clear
B) \[\frac{3}{28\,}\frac{{{M}^{4}}}{{{x}^{4}}}\] done clear
C) \[\frac{{{M}^{4}}}{36{{x}^{4}}}\] done clear
D) \[\frac{36{{M}^{4}}}{{{x}^{4}}}\] done clear
View Answer play_arrowA) Ba done clear
B) Mg done clear
C) Be done clear
D) Ca done clear
View Answer play_arrowA) 2 > 3 > 5 > 4 > 1 done clear
B) 5 > 3 > 2 > 1 > 4 done clear
C) 1 > 5 > 2 > 3 > 4 done clear
D) 3 > 5 > 1 > 2 > 3 done clear
View Answer play_arrowA) 89.28cm done clear
B) 200 cm done clear
C) 250 cm done clear
D) 312.5 cm done clear
View Answer play_arrowA) benzene done clear
B) BHC (Benzene Hexa Chloride) done clear
C) chloro benzene done clear
D) trichloro benzene done clear
View Answer play_arrowA) X = Serpech's process and\[Z=F{{e}_{2}}{{O}_{3}}\] done clear
B) X = Bayer's process and \[Z=FeO\] done clear
C) X = Hall and Heroullt's process and\[Z=Si{{O}_{2}}\] done clear
D) X = Bayer's process and \[Z=Si{{O}_{2}}\] done clear
View Answer play_arrowA) 10 g done clear
B) 20.0g done clear
C) 40.0 g done clear
D) 80.0 g done clear
View Answer play_arrowA) \[N{{a}_{2}}S{{O}_{3}}\]and\[N{{a}_{2}}S\] done clear
B) \[N{{a}_{2}}C{{O}_{3}}\]and\[N{{a}_{2}}S\] done clear
C) \[NaCl\]and\[N{{a}_{2}}S{{O}_{3}}\] done clear
D) \[N{{a}_{2}}S{{O}_{3}}\]and\[N{{a}_{2}}S{{O}_{4}}\] done clear
View Answer play_arrowquestion_answer45) Identify the correct product of following reaction.
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) \[MnO_{4}^{-}\]is weaker oxidising agent than \[C{{l}_{2}}\] done clear
B) \[C{{r}_{2}}O_{7}^{2-}\] is weaker oxidising agent than \[C{{l}_{2}}\] done clear
C) \[MnO_{4}^{-}\] is stronger oxidising agent than \[F{{e}^{3+}}\] done clear
D) \[C{{r}_{2}}O_{7}^{2-}\]is weaker oxidising agent than\[MnO_{4}^{-}\] done clear
View Answer play_arrowA) 2 done clear
B) 1 done clear
C) 0 done clear
D) 3 done clear
View Answer play_arrowA) \[{{K}_{2}}C{{r}_{2}}{{O}_{7}},Cr{{O}_{2}}C{{l}_{2}},A{{g}_{2}}Cr{{O}_{4}},{{[Ag{{(N{{H}_{3}})}_{2}}]}^{+}},\]\[AgCl,N{{H}_{4}}Cl\]and\[N{{H}_{3}}\] done clear
B) \[{{K}_{2}}Cr{{O}_{4}},C{{l}_{2}},A{{g}_{2}}Cr{{O}_{4}},AgN{{O}_{3}},AgCl,N{{H}_{4}}Cl\]and\[N{{H}_{3}}\] done clear
C) \[KMn{{O}_{4}},C{{l}_{2}},A{{g}_{2}}Cr{{O}_{4}},{{[Ag{{(N{{H}_{3}})}_{2}}]}^{+}},\]\[AgCl{{(N{{H}_{4}})}_{2}}S{{O}_{4}},\]and\[{{N}_{2}}\] done clear
D) \[KMn{{O}_{4}},Cr{{O}_{2}}C{{l}_{2}},A{{g}_{2}}(Cr{{O}_{4}}),{{[Ag{{(N{{H}_{3}})}_{2}}]}^{+}},\]\[AgN{{O}_{3}},N{{H}_{4}}Cl\]and\[{{N}_{2}}\] done clear
View Answer play_arrowA) \[TiC{{l}_{3}}+Al{{({{C}_{2}}{{H}_{5}})}_{3}}\] done clear
B) \[TiC{{l}_{4}}+Al{{({{C}_{2}}{{H}_{5}})}_{3}}\] done clear
C) \[Ti{{({{C}_{2}}{{H}_{5}})}_{4}}+AlC{{l}_{3}}\] done clear
D) \[Ti{{({{C}_{2}}{{H}_{5}})}_{3}}+AlC{{l}_{3}}\] done clear
View Answer play_arrowquestion_answer50) The best hydride donor intermediate in Cannizaro reaction will be
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) Compound is in transform done clear
B) Compound is in cis-form done clear
C) Compound is in both (cis and trans)-form done clear
D) Cannot be predicted done clear
View Answer play_arrowA) 5.0 done clear
B) 3.0 done clear
C) 1.0 done clear
D) 5.5 done clear
View Answer play_arrowquestion_answer53) Which of the following statement is correct regarding given figure.
A) This figure represents an emulsion of phase II in phase I done clear
B) Two immiscible, liquid, not yet emulsified done clear
C) this figure represents associated colloid done clear
D) this can be separated using elect osmosis done clear
View Answer play_arrowA) \[\left( \frac{200}{0.693} \right)K\] done clear
B) \[200\times 0.693K\] done clear
C) \[\left( \frac{400}{0.693} \right)K\] done clear
D) \[400\times 0.693K\] done clear
View Answer play_arrowA) formaldehyde, 3 done clear
B) acetaldehyde, 6 done clear
C) crotonaldehyde, 4 done clear
D) propanaldehyde, 6 done clear
View Answer play_arrowA) Both X and Y on treatment with Zn and NaON produce \[{{N}_{2}}\] done clear
B) Both X and Y on heating with Na form \[{{N}_{2}}\] done clear
C) Both [a] and [b] are correct done clear
D) None of the above done clear
View Answer play_arrow\[C\,\text{(graphite)+}\frac{1}{2}{{O}_{2}}\xrightarrow[{}]{{}}CO(g),\] | \[\Delta H_{1}^{o}=-110.5\,\text{kJ}\] |
\[CO\,\text{(g)}\,\text{+}\frac{1}{2}{{O}_{2}}(g)\xrightarrow[{}]{{}}CO(g),\] | \[\Delta H_{2}^{o}=-282.9\,\text{kJ}\] |
\[{{H}_{2}}\,\text{(g)}\,\text{+}\frac{1}{2}{{O}_{2}}(g)\xrightarrow[{}]{{}}{{H}_{2}}O(l),\] | \[\Delta H_{3}^{o}=-285.8\,\text{kJ}\] |
\[C\,\text{(graphite)}\,+2{{H}_{2}}(g)\xrightarrow[{}]{{}}C{{H}_{4}}(g),\] | \[\Delta H_{4}^{o}=-74.8\,\text{kJ}\] |
A) - 750.69 kJ done clear
B) - 820.79 kJ done clear
C) - 720.79 kJ done clear
D) - 1000.79 kJ done clear
View Answer play_arrowquestion_answer58) The major product obtained after reaction and number of chiral centre is
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowStatement I Central atom of peroxy disulphuric acid is sp3 hybridised. |
Statement II This is due to the presence of peroxy linkage (-O-O-) is peroxy disulphuric agent. |
A) Both Statement I and Statement II are true and the Statement II is the correct explanation of the Statement I done clear
B) Both Statement I and Statement II are true but the Statement II is not the correct explanation of the Statement I done clear
C) Statement I is true but Statement II is false done clear
D) Both Statement I and Statement II are false done clear
View Answer play_arrowStatement I All the values \[\Delta G,\Delta H,\Delta S\]must have negative value for adsorption. |
Statement II Adsorption is a spontaneous as well as exothermic process in which randomness decreases. The decrease in randomness is due to increase in attraction between adsorbate and adsorbent. |
A) Both Statement I and Statement II are true and the Statement II is the correct explanation of the Statement I done clear
B) Both Statement I and Statement II are true but the Statement II is not the correct explanation of the Statement I done clear
C) Statement I is true but statement II is false done clear
D) Both Statement I and Statement II are false done clear
View Answer play_arrowA) \[\frac{1}{3}\]cubic unit done clear
B) \[\frac{1}{4}\]cubic unit done clear
C) \[\frac{2}{5}\]cubic unit done clear
D) \[\frac{2}{3}\]cubic unit done clear
View Answer play_arrowA) 1 done clear
B) 0 done clear
C) -1 done clear
D) None of these done clear
View Answer play_arrowA) \[\frac{{{x}^{5}}}{5}-\frac{2{{x}^{3}}}{3}+2x+C\] done clear
B) \[\frac{{{x}^{5}}}{5}-\frac{2{{x}^{3}}}{3}-2x+C\] done clear
C) \[\frac{{{x}^{5}}}{5}+\frac{2{{x}^{3}}}{3}-2x+C\] done clear
D) \[\frac{{{x}^{5}}}{5}+\frac{2{{x}^{3}}}{3}+2x+C\] done clear
View Answer play_arrowA) \[\frac{\pi }{2}\] done clear
B) \[\frac{\pi }{3}\] done clear
C) \[\frac{\pi }{4}\] done clear
D) \[\frac{\pi }{6}\] done clear
View Answer play_arrowA) \[\pi /6\] done clear
B) \[\pi /12\] done clear
C) \[\pi /4\] done clear
D) \[3\pi /4\] done clear
View Answer play_arrowA) \[(\infty ,1]\cup (2,\infty ]\] done clear
B) \[[-\infty ,1)\cup [2,\infty )\] done clear
C) \[(-\infty ,2]\cup (3,\infty ]\] done clear
D) \[(-\infty ,2)\cup [3,\infty )\] done clear
View Answer play_arrowA) \[\left\{ x:\frac{\pi }{4}+2n\,\pi \le x\le \frac{3\pi }{4}+2n\pi ;n\in l \right\}\] done clear
B) \[\left\{ x:\frac{5\pi }{4}+2n\,\pi \le x\le \frac{7\pi }{4}+2n\,\pi ;n\in l \right\}\] done clear
C) \[\left\{ x:\frac{\pi }{4}+2n\,\pi \le x\le \frac{3\pi }{4}+2n\,\pi \right\}\cup \]\[\left\{ x:\frac{5\pi }{4}+2n\,\pi \le x\le \frac{7\pi }{4}+2n\,\pi \right\}\] done clear
D) None of the above done clear
View Answer play_arrowquestion_answer68) The solution of differential equation (x2 - 2xy] dy + [x2 - 3xy + 2y2) dx = 0, is
A) \[kx={{e}^{-y/x}}\] done clear
B) \[kx={{e}^{y/x}}\] done clear
C) \[kx={{e}^{x/y}}\] done clear
D) \[kx={{e}^{-x/y}}\] done clear
View Answer play_arrowA) \[\frac{2}{3}\] done clear
B) \[\frac{1}{3}\] done clear
C) \[\frac{2}{9}\] done clear
D) None of these done clear
View Answer play_arrowA) \[3\pi /4\] done clear
B) \[\pi /2\] done clear
C) \[\pi /6\] done clear
D) \[\pi /4\] done clear
View Answer play_arrowquestion_answer71) Area of a triangle formed by the lines x2 + 4xy + y2 = 0 and x + y = 1 is
A) \[\sqrt{3}\] done clear
B) 2 done clear
C) 1 done clear
D) \[\frac{\sqrt{3}}{2}\] done clear
View Answer play_arrowquestion_answer72) \[\sum\limits_{r=1}^{20}{\,\,\sum\limits_{p=1}^{r}{{{p}^{2}}}}\]is equal to
A) 16170 done clear
B) 13300 done clear
C) 16100 done clear
D) None of these done clear
View Answer play_arrowquestion_answer73) If p, q and r are false statements, then which among the following is false?
A) \[\tilde{\ }q\vee r\] is true done clear
B) \[\tilde{\ }r\vee q\]is true done clear
C) \[\tilde{\ }(q\vee r)\wedge (\tilde{\ }r\,\vee q)\]is false done clear
D) \[p\wedge [\tilde{\ }q\vee r)\wedge (\tilde{\ }r\,\vee q)]\]is false done clear
View Answer play_arrowquestion_answer74) The graph of the function y = f[x} = cos x cos [x + 2) - cos2 [x + 1) is
A) a straight line through \[(0,-{{\sin }^{2}}1)\] with slope 2 done clear
B) a straight line through (0, 0) done clear
C) a parabola with vertex \[(1,-{{\sin }^{2}}1)\] done clear
D) a straight line through \[\left( \frac{\pi }{2},-{{\sin }^{2}}1 \right)\] and parallel to x-axis done clear
View Answer play_arrowquestion_answer75) The point of intersection of less than ogive and greater than ogive is known as
A) median done clear
B) mode done clear
C) mean done clear
D) None of these done clear
View Answer play_arrowA) 69760 done clear
B) 2912 done clear
C) 98748 done clear
D) 987147 done clear
View Answer play_arrowquestion_answer77) The unit digit of \[{{17}^{1983}}+{{11}^{1983}}-{{7}^{1983}}\] is equal to
A) 2 done clear
B) 3 done clear
C) 5 done clear
D) 1 done clear
View Answer play_arrowA) \[\pi /6\] done clear
B) \[\pi /2\] done clear
C) \[3\pi /4\] done clear
D) \[2\pi /3\] done clear
View Answer play_arrowA) \[{{a}_{\infty }}=\frac{\sqrt{{{b}^{2}}-{{a}^{2}}}}{{{\cos }^{-1}}\left( \frac{a}{b} \right)}\] done clear
B) \[{{b}_{\infty }}=\frac{\sqrt{{{b}^{2}}-{{a}^{2}}}}{{{\cos }^{-1}}\left( \frac{a}{b} \right)}\] done clear
C) \[{{b}_{\infty }}=\frac{\sqrt{{{a}^{2}}-{{b}^{2}}}}{{{\cos }^{-1}}\left( \frac{b}{a} \right)}\] done clear
D) None of these done clear
View Answer play_arrowA) for no value of \[\lambda \] and \[\theta \] done clear
B) for all values of \[\lambda \] and \[\theta \] done clear
C) for all values of \[\lambda \] and only two values of \[\theta \] done clear
D) for only one value of \[\lambda \] and all values of \[\theta \] done clear
View Answer play_arrowA) equivalence relation done clear
B) not symmetric done clear
C) reflexive only done clear
D) transitive only done clear
View Answer play_arrowA) \[\frac{1}{4}\] done clear
B) \[\frac{1}{2}\] done clear
C) \[\frac{1}{8}\] done clear
D) \[\frac{1}{16}\] done clear
View Answer play_arrowA) 4 done clear
B) 1 done clear
C) 2 done clear
D) None of these done clear
View Answer play_arrowA) \[\frac{1}{4}\] done clear
B) \[\frac{1}{2}\] done clear
C) \[\frac{-1}{2}\] done clear
D) \[-\frac{1}{4}\] done clear
View Answer play_arrowA) B done clear
B) A done clear
C) C done clear
D) None of these done clear
View Answer play_arrowquestion_answer86) The solution of differential equation \[ydx+(2\sqrt{xy}-x)\]\[dy=0\]is
A) \[Cy={{e}^{\sqrt{x/y}}}\] done clear
B) \[Cy={{e}^{-\sqrt{x/y}}}\] done clear
C) \[Cy={{e}^{x/y}}\] done clear
D) \[Cy={{e}^{\sqrt{2x/y}}}\] done clear
View Answer play_arrowA) 0 done clear
B) 10 done clear
C) -10 done clear
D) \[10-\frac{2}{3}\] done clear
View Answer play_arrowA) \[\frac{3}{2}\] done clear
B) \[\frac{5}{2}\] done clear
C) \[\frac{7}{2}\] done clear
D) \[\frac{9}{2}\] done clear
View Answer play_arrowStatement I The number of common tangents to the circle x2 + y2 = 4 and x2 + y2 - 8x - 6y - 24 = 0 is 4. |
Statement II Circle with centre \[{{c}_{1}},{{c}_{2}}\] and radii \[{{r}_{1}},{{r}_{2}}\] and if \[|{{e}_{1}}{{e}_{2}}|>{{r}_{1}}+{{r}_{2}}\] , then circles have 4 common tangents. |
A) Both Statement I and Statement II are true and the Statement II is the correct explanation of the Statement I done clear
B) Both Statement I and Statement II are true but the Statement II is not the correct explanation of the Statement I done clear
C) Statement I is true but Statement II is false done clear
D) Statement I is false but Statement II is true done clear
View Answer play_arrowStatement I If \[a=2\hat{i}+3\hat{j}-\hat{k},b=-\hat{i}+3\hat{j}+4\hat{k},\] then projection of a on \[b=\frac{3}{\sqrt{26}}.\] |
Statement II Projection of p on \[q=\frac{p\cdot q}{|q|}\] |
A) Both Statement I and Statement II are true and the Statement II is the correct explanation of the Statement I done clear
B) Both Statement I and Statement II are true but the Statement II is not the correct explanation of the Statement I done clear
C) Statement I is true but Statement II is false done clear
D) Statement I is false but Statement II is true done clear
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