A) 11 done clear
B) 14 done clear
C) 16 done clear
D) 15 done clear
View Answer play_arrowA) the body covers a distance 3 m on the platform in the direction of motion of the platform. done clear
B) the body covers a distance 3 m on the platform opposite to the direction of motion of plat form before coming to rest. done clear
C) the body covers a distance 6 m on the platform in the direction of motion of the platform. done clear
D) the body covers a distance 6 m on the platform opposite to the direction of motion of plat form before coming to rest. done clear
View Answer play_arrowA) greater deviation done clear
B) no deviation done clear
C) same deviation as before done clear
D) total internal reflection done clear
View Answer play_arrowA) \[5I\]and\[I\] done clear
B) \[5I\]and\[3I\] done clear
C) \[9I\]and\[I\] done clear
D) \[9I\] and \[3I\] done clear
View Answer play_arrowA) \[50{}^\circ \] done clear
B) \[60{}^\circ \] done clear
C) \[90{}^\circ \] done clear
D) \[40{}^\circ \] done clear
View Answer play_arrowA) \[\frac{{{e}_{1}}}{{{e}_{2}}}l\sqrt{2gh}\] done clear
B) \[\frac{{{e}_{1}}+1}{{{e}_{2}}+1}\sqrt{2gh}\] done clear
C) \[\frac{{{e}_{1}}+{{e}_{2}}}{l}\sqrt{2gh}\] done clear
D) \[\frac{{{e}_{1}}+1}{{{e}_{2}}-1}\sqrt{2gh}\] done clear
View Answer play_arrowA) \[mg/2\] done clear
B) \[mg\] done clear
C) \[mg/4\] done clear
D) \[mg/8\] done clear
View Answer play_arrowA) \[E=\frac{3}{4}\,\left( \frac{m{{v}^{2}}}{qa} \right)\] done clear
B) The rate of work done by the electric field at P is \[\frac{3}{4}\left( \frac{m{{v}^{3}}}{a} \right)\] done clear
C) The rate of work done by the electric field at P is 0. done clear
D) The rate of work done by both the fields at Q is 0. done clear
View Answer play_arrowquestion_answer9) 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) \[\frac{{{\mu }_{0}}i}{3\pi a}\sqrt{4+{{\pi }^{2}}}\] 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) \[12.42\times {{10}^{-21}}J,\,\,968\,\,m/s\] done clear
B) \[6.21\times {{10}^{-21}}J,\,968\,m/s\] done clear
C) \[8.78\times {{10}^{-21}}J,\,684\,\,m/s\] done clear
D) \[12.42\times {{10}^{-21}}J,\,\,684\,\,m/s\] done clear
View Answer play_arrowA) 4 min done clear
B) 6 min done clear
C) 5 min done clear
D) 8 min done clear
View Answer play_arrowA) \[\frac{R}{4}\] done clear
B) \[\frac{R}{2}\] done clear
C) \[\frac{R}{3}\] done clear
D) \[\frac{R}{8}\] done clear
View Answer play_arrowA) \[\frac{mg}{k}\left( 1-\frac{d}{D} \right)\] done clear
B) \[\frac{mg}{k}\left( 1-\frac{D}{d} \right)\] done clear
C) \[\frac{mg}{k}\left( 1+\frac{d}{D} \right)\] done clear
D) None of these done clear
View Answer play_arrowA) \[2\sqrt{2}\,m\] done clear
B) \[1\,m\] done clear
C) 2 m done clear
D) None of these done clear
View Answer play_arrowA) clockwise done clear
B) anti-clockwise done clear
C) zero done clear
D) All of these done clear
View Answer play_arrowA) \[\frac{1}{4}\,C(V_{1}^{2}-V_{2}^{2})\] done clear
B) \[\frac{1}{4}\,C(V_{1}^{2}+V_{2}^{2})\] done clear
C) \[\frac{1}{4}\,C{{(V_{1}^{{}}-V_{2}^{{}})}^{2}}\] done clear
D) \[\frac{1}{4}\,C{{(V_{1}^{{}}+V_{2}^{{}})}^{2}}\] done clear
View Answer play_arrowA) \[\frac{qQ}{4\pi {{\varepsilon }_{0}}r}\] done clear
B) \[\frac{qQ}{12\pi {{\varepsilon }_{0}}r}\] done clear
C) \[\frac{qQ}{6\pi {{\varepsilon }_{0}}}\] done clear
D) \[\frac{qQ}{2\pi {{\varepsilon }_{0}}r}\] done clear
View Answer play_arrowA) \[\frac{m}{M}L\,\cos \,\theta \] done clear
B) \[\frac{m}{M+m}L\] done clear
C) \[\frac{M+m}{mL\,\cos \,\theta }\] done clear
D) \[\frac{mL\,\cos \,\theta }{m+M}\] done clear
View Answer play_arrowA) \[\frac{1}{8}\] done clear
B) \[\frac{3}{8}\] done clear
C) \[\frac{5}{8}\] done clear
D) \[\frac{7}{8}\] done clear
View Answer play_arrowA) \[4\,\mu C\] done clear
B) \[6\,\mu C\] done clear
C) \[10\,\mu C\] done clear
D) \[16\,\mu C\] done clear
View Answer play_arrowA) 3 N done clear
B) 2 N done clear
C) 8 N done clear
D) 0 done clear
View Answer play_arrowA) \[\cot \,\alpha =3\] done clear
B) \[\tan \,\alpha =3\] done clear
C) \[\sec \,\alpha =3\] done clear
D) \[\cos ec\,\alpha =3\] done clear
View Answer play_arrowA) \[\frac{A{{K}_{0}}}{bl}\,\left( \frac{a+b{{T}_{1}}}{a+b{{T}_{2}}} \right)\] done clear
B) \[\frac{A{{K}_{0}}}{bl}\left( \frac{a+b{{T}_{2}}}{a+b{{T}_{1}}} \right)\] done clear
C) \[\frac{A{{K}_{0}}}{bl}\,In\,\left[ \frac{a+b{{T}_{1}}}{a+b{{T}_{2}}} \right]\] done clear
D) \[\frac{A{{K}_{0}}}{al}\,In\,\left[ \frac{a+b{{T}_{2}}}{a+b{{T}_{1}}} \right]\] done clear
View Answer play_arrowDirection: According to the 6ohr model, the energy levels of a hydrogen atom can be found by making two assumptions. |
(i) The electrons move in a circular orbit and (ii) the angular momentum of the electron in the n\[th\]energy level is quantized to have a value,\[n\frac{h}{2\pi }\]. The levels calculated with a nuclear charge \[Ze\] deals with a single electron in the orbit are called hydrogenic levels. Assume that the two electrons in the ground, state of a helium atom occupy the corresponding lowest hydrogenic level. |
A) 3.4 eV done clear
B) 6.8 eV done clear
C) 13.6eV done clear
D) 27.2eV done clear
View Answer play_arrowDirection: According to the 6ohr model, the energy levels of a hydrogen atom can be found by making two assumptions. |
(i) The electrons move in a circular orbit and (ii) the angular momentum of the electron in the n\[th\]energy level is quantized to have a value,\[n\frac{h}{2\pi }\]. The levels calculated with a nuclear charge \[Ze\] deals with a single electron in the orbit are called hydrogenic levels. Assume that the two electrons in the ground, state of a helium atom occupy the corresponding lowest hydrogenic level. |
A) 8T done clear
B) 4T done clear
C) 6T done clear
D) 2T done clear
View Answer play_arrowDirection: A potentiometer is device used for measuring emf and internal resistance of a cell. It consists of two circuits one is main circuit in which there is a cell of given emf\[\varepsilon \] and given resistance R which is connected across a wire of length 100 cm having resistance r. Another circuit having unknown emf\[\varepsilon \]and galvanometer. For a given potentiometer if \[\varepsilon '=30\,V,\,\,r=1\Omega \] and resistance R varies with time t given by\[R=2t\]. The jockey can move on wire with constant velocity 10 cm/s and switch S is closed at\[t=0\]. |
A) 1 V done clear
B) 2 V done clear
C) 3 V done clear
D) 4 V done clear
View Answer play_arrowDirection: A potentiometer is device used for measuring emf and internal resistance of a cell. It consists of two circuits one is main circuit in which there is a cell of given emf\[\varepsilon \] and given resistance R which is connected across a wire of length 100 cm having resistance r. Another circuit having unknown emf\[\varepsilon \]and galvanometer. For a given potentiometer if \[\varepsilon '=30\,V,\,\,r=1\Omega \] and resistance R varies with time t given by\[R=2t\]. The jockey can move on wire with constant velocity 10 cm/s and switch S is closed at\[t=0\]. |
A) \[t=3\,s\] done clear
B) \[t=5\,s\] done clear
C) \[t=4\,s\] done clear
D) \[t=9\,s\] done clear
View Answer play_arrowDirection: A potentiometer is device used for measuring emf and internal resistance of a cell. It consists of two circuits one is main circuit in which there is a cell of given emf\[\varepsilon \] and given resistance R which is connected across a wire of length 100 cm having resistance r. Another circuit having unknown emf\[\varepsilon \]and galvanometer. For a given potentiometer if \[\varepsilon '=30\,V,\,\,r=1\Omega \] and resistance R varies with time t given by\[R=2t\]. The jockey can move on wire with constant velocity 10 cm/s and switch S is closed at\[t=0\]. |
A) 1 s done clear
B) 2 s done clear
C) 3 s done clear
D) 4 s done clear
View Answer play_arrowStatement I Suppose the earth has a whole along one of its diameter. A particle of very small mass is dropped into it. It executes the SHM |
Statement II The gravitational acceleration is always directing towards a fixed point. |
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_arrowStatement I Two non-ideal batteries are connected in parallel, the equivalent emf is smaller than either of the two emfs. |
Statement II Two non-ideal batteries are connected in parallel, the equivalent internal resistance is smaller than either of the two internal resistances. |
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 It 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_arrowquestion_answer31) The name of organic compound DDT is
A) dichloro diphenyl toluene done clear
B) dichloro diphenyl trichloroethane done clear
C) diphenyl dichloro trichloroethane done clear
D) dichloro diphenyl thiosemicarbazide done clear
View Answer play_arrowquestion_answer32) In which of the following reaction, a visible change would be observed?
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer33) Some half-cell reactions and their standard potentials are given as below:
\[MnO_{4}^{-}(aq)+8{{H}^{+}}(aq)+5{{e}^{-}}\xrightarrow{\,}\,M{{n}^{2+}}(aq)+4{{H}_{2}}O(l);\]\[{{E}^{o}}=1.51\,\,V\] |
\[C{{r}_{2}}O_{7}^{2-}(aq)+14{{H}^{+}}(aq)+6{{e}^{-}}\to 2C{{r}^{3+}}(aq)+7{{H}_{2}}O(l);\] \[{{E}^{o}}=1.38\,\,V\] |
\[F{{e}^{3+}}(aq)+{{e}^{-}}\xrightarrow{\,}\,F{{e}^{2+}}(aq);\]\[{{E}^{o}}=0.77\,\,V\] |
\[C{{l}_{2}}(g)+2{{e}^{-}}\xrightarrow{\,}\,2C{{l}^{-}}(aq);\]\[{{E}^{o}}=1.40\,\,V\] |
A) \[MnO_{4}^{-}\]is weaker oxidizing agent than \[C{{l}_{2}}\] done clear
B) \[C{{r}_{2}}O_{7}^{2-}\] is weaker oxidizing agent than \[C{{l}_{2}}\] done clear
C) \[MnO_{4}^{-}\]is stronger oxidizing agent than \[F{{e}^{3+}}\] done clear
D) \[C{{r}_{2}}O_{7}^{2-}\]is weaker oxidizing agent than \[MnO_{4}^{-}\] done clear
View Answer play_arrowA) 1 : 1 done clear
B) 1 : 2 done clear
C) 2 : 1 done clear
D) 3 : 1 done clear
View Answer play_arrowA) 2 done clear
B) 4 done clear
C) 5 done clear
D) 3 done clear
View Answer play_arrowA) methanol done clear
B) ethanal done clear
C) propanal done clear
D) methylethanoate done clear
View Answer play_arrowA) a soluble sulphate done clear
B) \[KBr\] or \[NaBr\] done clear
C) \[Ba{{(N{{O}_{3}})}_{2}}\] done clear
D) \[AgN{{O}_{3}}\] done clear
View Answer play_arrowA) 100 done clear
B) 300 done clear
C) 800 done clear
D) 400 done clear
View Answer play_arrowA) 40 min done clear
B) 36 min done clear
C) 12 min done clear
D) 340 min done clear
View Answer play_arrowquestion_answer40) A cetamide and ethylamine can be distinguished by reacting with
A) aqueous HCI and heat done clear
B) aqueous NaOH and heat done clear
C) acidified\[KMn{{O}_{4}}\] done clear
D) bromine water done clear
View Answer play_arrowA) 405 g done clear
B) 5 g done clear
C) 2.67 g done clear
D) 1 g done clear
View Answer play_arrowA) \[-66.78{}^\circ C\] done clear
B) \[-33.39{}^\circ C\] done clear
C) \[-15.58{}^\circ C\] done clear
D) \[-1.86{}^\circ C\] done clear
View Answer play_arrowA) carbonium ion, carbene done clear
B) carbene, nitrene done clear
C) nitrene, carbine done clear
D) carbocation, nitrene done clear
View Answer play_arrowA) \[1.25\,\,mo{{l}^{-1}}{{\min }^{-1}}\] done clear
B) \[0.5\,\,mol\,{{L}^{-1}}{{\min }^{-1}}\] done clear
C) \[0.125\,\,mol\,{{L}^{-1}}\,{{\min }^{-1}}\] done clear
D) \[1.25\,mol\,{{L}^{-1}}\,{{\min }^{-1}}\] done clear
View Answer play_arrowquestion_answer45) Which is not true regarding nylons? Nylon
A) is usually a high melting solid polymer done clear
B) possesses a very high degree of crystallite done clear
C) have very high mechanical strength done clear
D) are usually hydrophobia done clear
View Answer play_arrowquestion_answer46) Of the two solvents \[{{H}_{2}}O\] and \[{{D}_{2}}O\], \[NaCl\] dissolves
A) equally in both the solvents done clear
B) only in \[{{H}_{2}}O\] but remains insoluble in \[{{D}_{2}}O\] done clear
C) more in \[{{D}_{2}}O\] done clear
D) more in \[{{H}_{2}}O\] done clear
View Answer play_arrowquestion_answer47) What is the product C in the final step of the reaction?
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) \[{{K}^{+}}+[Sn{{O}_{2}}]\,{{[Sn{{O}_{3}}]}^{-}}\] done clear
B) \[{{K}^{+}}+{{[Sn{{O}_{2}}\cdot x{{H}_{2}}O]}^{-}}OH\] done clear
C) \[2\,{{K}^{+}}[Sn{{O}_{2}}]\,SnO_{3}^{2-}\] done clear
D) \[{{K}^{+}}+[SnO_{2}^{-1}]\] done clear
View Answer play_arrowA) 1, 0.2, 0.0267 done clear
B) 0.08, 0.6, 3 done clear
C) 1, 5, 37.5 done clear
D) 0.0267, 5, 1 done clear
View Answer play_arrowquestion_answer50) The product of acid hydrolysis of P and 0 can be distinguished by
A) Lucas reagent done clear
B) 2,4-DNP done clear
C) Fehling's solution done clear
D) \[NaHS{{O}_{3}}\] done clear
View Answer play_arrowA) racemic mixture of products is obtained done clear
B) acerbation reactive intermediate is involved done clear
C) if hydrolysis is done with \[{{D}_{2}}O\] in place of \[{{H}_{2}}O,\] the product remains the same done clear
D) if\[LiAl{{D}_{4}}\] is used in place of \[LiAl{{H}_{4}},\,C{{H}_{3}}C{{H}_{2}}(OD)C{{H}_{3}}\] is obtained done clear
View Answer play_arrowA) \[1{}^\circ \] done clear
B) \[2{}^\circ \] done clear
C) \[3{}^\circ \] done clear
D) All of these done clear
View Answer play_arrowI. | II. | III. | IV. |
A) III < II < IV <I done clear
B) III < IV < II <l done clear
C) II < IV < I< III done clear
D) I < II < IV < III done clear
View Answer play_arrowA) black done clear
B) yellow done clear
C) white done clear
D) pink done clear
View Answer play_arrowDirection: A waxy crystalline solid [a] with garlic odour is obtained by burning a white solid [e] in the steam of air. [a] reacts vigorously with hot water forming a gas [b] and an acid [c]. Gas [b] has unpleasant odour of rotten fish and is neutral towards litmus. Wizen gas [b] is passed through a blue solution of a compound [f], it produces a black precipitate [d]. Compound [f] gives chocolate colored precipitate [g] with \[{{K}_{4}}[Fe{{(CN)}_{6}}]\]. |
A) \[{{B}_{2}}{{O}_{3}}\] done clear
B) solid \[S{{O}_{3}}\] done clear
C) \[{{P}_{2}}{{O}_{3}}\] done clear
D) \[{{P}_{2}}{{O}_{5}}\] done clear
View Answer play_arrowDirection: A waxy crystalline solid [a] with garlic odour is obtained by burning a white solid [e] in the steam of air. [a] reacts vigorously with hot water forming a gas [b] and an acid [c]. Gas [b] has unpleasant odour of rotten fish and is neutral towards litmus. Wizen gas [b] is passed through a blue solution of a compound [f], it produces a black precipitate [d]. Compound [f] gives chocolate colored precipitate [g] with \[{{K}_{4}}[Fe{{(CN)}_{6}}]\]. |
A) \[FeS+HCl\] done clear
B) \[C{{a}_{3}}{{P}_{2}}+{{H}_{2}}O\] done clear
C) \[{{H}_{2}}S{{O}_{4}}+{{P}_{2}}{{O}_{5}}\] done clear
D) \[M{{g}_{3}}{{B}_{2}}+HCl\] done clear
View Answer play_arrowDirection: A waxy crystalline solid [a] with garlic odour is obtained by burning a white solid [e] in the steam of air. [a] reacts vigorously with hot water forming a gas [b] and an acid [c]. Gas [b] has unpleasant odour of rotten fish and is neutral towards litmus. Wizen gas [b] is passed through a blue solution of a compound [f], it produces a black precipitate [d]. Compound [f] gives chocolate colored precipitate [g] with \[{{K}_{4}}[Fe{{(CN)}_{6}}]\]. |
A) \[F{{e}^{2+}}\] done clear
B) \[C{{u}^{+}}\] done clear
C) \[C{{u}^{2+}}\] done clear
D) \[N{{i}^{2+}}\] done clear
View Answer play_arrowDirection: For the following questions. Choose the correct answer from the codes [a], [b], [c] and [d] defined as follows. |
Statement I On passing charge for sometime through acidulated water, equal volume but not equal mass of \[{{H}_{2}}\] and \[{{O}_{2}}\] are produced. |
Statement II Equal number of moles of \[{{H}_{2}}\] and \[{{O}_{2}}\] have equal volumes. |
A) Statement I is true, Statement II is also true Statement II is a correct explanation of Statement I. done clear
B) Statement I is true, Statement II is also true and Statement II is not a 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: For the following questions. Choose the correct answer from the codes [a], [b], [c] and [d] defined as follows. |
Statement I Borax bead test is not suitable for Al (lll). |
Statement II\[A{{l}_{2}}{{O}_{3}}\] is insoluble in water. |
A) Statement I is true, Statement II is also true Statement II is a correct explanation of Statement I. done clear
B) Statement I is true, Statement II is also true and Statement II is not a 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: For the following questions. Choose the correct answer from the codes [a], [b], [c] and [d] defined as follows. |
Statement I Aromatic amines are generally less basic than alkyl amines. |
Statement II \[\pi \]-electrons in the ring decrease basic character. |
A) Statement I is true, Statement II is also true Statement II is a correct explanation of Statement I. done clear
B) Statement I is true, Statement II is also true and Statement II is not a 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) \[\cos \,x+i\,\sin \,x\] done clear
B) \[m/2\] done clear
C) 1 done clear
D) \[(m+1)/2\] done clear
View Answer play_arrowquestion_answer62) The number of positive integral solutions of \[{{x}^{4}}-{{y}^{4}}=3789108\] is
A) 0 done clear
B) 1 done clear
C) 2 done clear
D) 4 done clear
View Answer play_arrowquestion_answer63) Lf a,b,c,d,e and f are in AP, then \[(e-c)\]is equal to
A) \[2\,(c-a)\] done clear
B) \[2\,(d-b)\] done clear
C) \[2\,(f-d)\] done clear
D) \[2(d-c)\] done clear
View Answer play_arrowA) \[(m-1)\,\lambda \] done clear
B) \[m\lambda \] done clear
C) \[(m+1)\,\lambda \] done clear
D) \[0\] done clear
View Answer play_arrowA) 4 : 2 : 1 done clear
B) 1 : 2 : 4 done clear
C) 2 : 4 : 1 done clear
D) 1 : 4 : 2 done clear
View Answer play_arrowA) 4 done clear
B) 6 done clear
C) 8 done clear
D) None of these done clear
View Answer play_arrowquestion_answer67) If \[{{\log }_{12}}=27=a,\] then \[{{\log }_{6}}\] 16 is equal to
A) \[2\left( \frac{3-a}{3+a} \right)\] done clear
B) \[3\left( \frac{3-a}{3+a} \right)\] done clear
C) \[4\left( \frac{3-a}{3+a} \right)\] done clear
D) \[5\left( \frac{3-a}{3+a} \right)\] done clear
View Answer play_arrowA) \[\left[ \begin{matrix} a & 0 & 0 \\ 0 & b & 0 \\ 0 & 0 & c \\ \end{matrix} \right]\] done clear
B) \[\left[ \begin{matrix} {{a}^{2}} & 0 & 0 \\ 0 & ab & 0 \\ 0 & 0 & ac \\ \end{matrix} \right]\] done clear
C) \[\left[ \begin{matrix} 1/a & 0 & 0 \\ 0 & 1/b & 0 \\ 0 & 0 & 1/c \\ \end{matrix} \right]\] done clear
D) \[\left[ \begin{matrix} -a & 0 & 0 \\ 0 & -b & 0 \\ 0 & 0 & -c \\ \end{matrix} \right]\] done clear
View Answer play_arrowA) 1/27 done clear
B) 8/27 done clear
C) 19/27 done clear
D) 26/27 done clear
View Answer play_arrowA) \[l,\]the set of integers done clear
B) N, the set of natural numbers done clear
C) W, the set of whole numbers done clear
D) Q, the set of rational numbers done clear
View Answer play_arrowA) e done clear
B) a done clear
C) b done clear
D) None of these done clear
View Answer play_arrowA) \[\underset{x\to 0}{\mathop{\lim }}\,\,f(x)\]does not exist done clear
B) \[f(x)\] is continuous at \[x=0\] done clear
C) \[f(x)\] is non-differentiable at \[x=0\] done clear
D) \[f(0)=1\] done clear
View Answer play_arrowquestion_answer73) If \[{{x}^{y}}\cdot {{y}^{x}}=16,\] then \[\frac{dy}{dx}\] at (2, 2) is
A) -1 done clear
B) 0 done clear
C) 1 done clear
D) None of these done clear
View Answer play_arrowA) (4,4) done clear
B) (-1,2) done clear
C) (9/4,3/8) done clear
D) None of these done clear
View Answer play_arrowquestion_answer75) \[y={{\{x(x-3)\}}^{2}}\] increases for all values of \[x\] lying in the interval
A) \[\left( 0,\,\frac{3}{2} \right)\cup \,(3,\,\infty )\] done clear
B) \[0<x<\infty \] done clear
C) \[-\infty <x<0\] done clear
D) \[(1,\,3)\,\cup \,(4,\,\infty )\] done clear
View Answer play_arrowA) 1 done clear
B) 2 done clear
C) 3 done clear
D) infinite many done clear
View Answer play_arrowA) \[\left\{ \frac{3}{8},\,\frac{1}{32},\,\frac{1}{4} \right\}\] done clear
B) \[\left\{ \frac{3}{8},\,\frac{1}{4},\,\frac{1}{32} \right\}\] done clear
C) \[\left\{ \frac{1}{32},\,\frac{1}{4},\,\frac{3}{8} \right\}\] done clear
D) \[\left\{ \frac{1}{4},\,\frac{3}{8},\,\frac{1}{32} \right\}\] done clear
View Answer play_arrowA) 8 done clear
B) 16 done clear
C) 24 done clear
D) 0 done clear
View Answer play_arrowA) \[2(\sqrt{2}-1)\,sq\]units done clear
B) \[(\sqrt{3}+1)\,sq\] units done clear
C) \[2(\sqrt{3}-1)\,sq\]units done clear
D) None of these done clear
View Answer play_arrowA) \[\tan \,x\] done clear
B) \[x(x-\pi )\] done clear
C) \[(x-\pi )\,(1-{{e}^{x}})\] done clear
D) not possible done clear
View Answer play_arrowA) 0 done clear
B) 20 done clear
C) 30 done clear
D) None of these done clear
View Answer play_arrowA) 30 done clear
B) 40 done clear
C) 45 done clear
D) 50 done clear
View Answer play_arrowA) \[\overline{X}<{{\overline{X}}_{1}}\] done clear
B) \[\overline{X}>{{\overline{X}}_{2}}\] done clear
C) \[\overline{X}=\frac{{{\overline{X}}_{1}}+{{\overline{X}}_{2}}}{2}\] done clear
D) \[{{\overline{X}}_{1}}<\overline{X}<{{\overline{X}}_{2}}\] done clear
View Answer play_arrowA) \[x=0\] done clear
B) \[y=0\] done clear
C) \[x=-a\] done clear
D) \[y=a\] done clear
View Answer play_arrowDirection: Let a, b and c be three vectors such that \[|a|\,=\,|b|\,=\,|\,c|\,=4\]and the angle between a and b is \[\pi /3,\] the angle between b and c is \[\pi /3,\] and angle between c and a is \[\pi /3,\]. Then, |
A) \[24\sqrt{2}\] done clear
B) \[24\sqrt{3}\] done clear
C) \[32\sqrt{2}\] done clear
D) \[32\sqrt{3}\] done clear
View Answer play_arrowDirection: Let a, b and c be three vectors such that \[|a|\,=\,|b|\,=\,|\,c|\,=4\]and the angle between a and b is \[\pi /3,\] the angle between b and c is \[\pi /3,\] and angle between c and a is \[\pi /3,\]. Then, |
A) \[4\sqrt{\frac{2}{3}}\] done clear
B) \[3\sqrt{\frac{2}{3}}\] done clear
C) \[4\sqrt{\frac{3}{2}}\] done clear
D) \[3\sqrt{\frac{3}{2}}\] done clear
View Answer play_arrowDirection: If \[\cos \,\frac{\pi }{7},\,\,\cos \,\frac{3\pi }{7}\]and \[\cos \,\frac{5\pi }{7}\] are the roots of the equations \[8{{x}^{3}}-4{{x}^{2}}-4x+1=0\] then, |
A) 2 done clear
B) 4 done clear
C) 8 done clear
D) None of these done clear
View Answer play_arrowDirection: If \[\cos \,\frac{\pi }{7},\,\,\cos \,\frac{3\pi }{7}\]and \[\cos \,\frac{5\pi }{7}\] are the roots of the equations \[8{{x}^{3}}-4{{x}^{2}}-4x+1=0\] then, |
A) \[\frac{1}{4}\] done clear
B) \[\frac{1}{8}\] done clear
C) \[\frac{\sqrt{7}}{4}\] done clear
D) \[\frac{\sqrt{7}}{8}\] done clear
View Answer play_arrowDirection: For the following questions. Choose the correct answer from the codes [a], [b], [c] and [d] defined as follows. |
For each of the following questions, one out of given options is correct. |
Statement I lf\[\frac{x}{a}+\frac{y}{b}=1\] and \[\frac{x}{c}+\frac{y}{d}=-1\] cut \[x\] and \[y-\] axes at four concyclic points, A, B, C and D respectively, then the orthocentre of \[\Delta ABC\]is \[\left( 0,\,\frac{ac}{b} \right)\]. |
Statement II If chords AC and BD of a circle intersect at origin O, then\[OA\cdot OC=OB\cdot OD\]. |
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: For the following questions. Choose the correct answer from the codes [a], [b], [c] and [d] defined as follows. |
For each of the following questions, one out of given options is correct. |
Let consider \[f(x)=\sin \,x\]and \[g(x)=\,|\,f(x)|\]. |
Statement I Then, the function \[f(x)\,g(x)\] is not differentiable in \[[0,2\pi ]\]. |
Statement II \[f(x)\] is differentiable and \[g(x)\]is not differentiable in \[[0,\,2\pi ]\]. |
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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