A) 23 done clear
B) 25 done clear
C) 24 done clear
D) 33 done clear
View Answer play_arrowquestion_answer2) The quantum number not obtained from Schrodinger 's wave equation is
A) n done clear
B) l done clear
C) m done clear
D) s done clear
View Answer play_arrowA) As compared to iron, aluminium has greater affinity for oxygen. done clear
B) As compared to aluminium, iron has greater affinity for oxygen, done clear
C) Reaction between aluminium and oxygen is endothermic. done clear
D) Reaction between iron and oxygen is endothermic. done clear
View Answer play_arrowquestion_answer4) Which of the following shows the tendency to form peroxide?
A) Lithium done clear
B) Magnesium done clear
C) Beryllium done clear
D) Radium done clear
View Answer play_arrowA) A, B, C, D done clear
B) A, B, C done clear
C) D, C, B, A done clear
D) C, B, A done clear
View Answer play_arrowA) \[{{H}_{3}}P{{O}_{3}}>{{H}_{3}}P{{O}_{4}}>{{H}_{3}}P{{O}_{2}}\] done clear
B) \[{{H}_{3}}P{{O}_{4}}>{{H}_{3}}P{{O}_{3}}>{{H}_{3}}P{{O}_{2}}\] done clear
C) \[{{H}_{3}}P{{O}_{4}}>{{H}_{3}}P{{O}_{2}}>{{H}_{3}}P{{O}_{3}}\] done clear
D) \[{{H}_{3}}P{{O}_{4}}\approx {{H}_{3}}P{{O}_{3}}\approx {{H}_{3}}P{{O}_{2}}\] done clear
View Answer play_arrowA) C (diamond) \[+{{O}_{2}}(g)\to C{{O}_{2}}(g)\] done clear
B) C (graphite) \[+{{O}_{2}}(I)\to C{{O}_{2}}(g)\] done clear
C) C (graphite) \[+{{O}_{2}}(g)\to C{{O}_{2}}(g)\] done clear
D) \[C(g)+{{O}_{2}}(g)\to C{{O}_{2}}(g)\] done clear
View Answer play_arrowA) \[{{B}_{2}}{{H}_{6}}+HCl\xrightarrow{{}}{{B}_{2}}{{H}_{5}}Cl+{{H}_{2}}\] done clear
B) \[2{{B}_{2}}{{H}_{6}}+6N{{H}_{3}}\xrightarrow{\Delta }{{B}_{3}}{{N}_{3}}{{H}_{6}}\,\,(borazine)\] done clear
C) \[{{B}_{2}}{{H}_{6}}+2N{{(C{{H}_{3}})}_{3}}\xrightarrow{{}}2{{(C{{H}_{3}})}_{3}}NB{{H}_{3}}\] done clear
D) \[{{B}_{2}}{{H}_{6}}+6{{C}_{2}}{{H}_{4}}\xrightarrow{{{H}_{3}}{{O}^{+}}}3{{C}_{2}}{{H}_{5}}OH+2B{{(OH)}_{3}}\] done clear
View Answer play_arrowA) Allotropic crystals done clear
B) Liquid crystals done clear
C) Isomeric crystals done clear
D) Isomorphous crystals. done clear
View Answer play_arrowquestion_answer10) Which of the following ions are optically active?
(I) | (II) | (III) | (IV) |
A) I only done clear
B) II only done clear
C) II and III done clear
D) IV only done clear
View Answer play_arrowquestion_answer11) Which of the following can be termed as a mixed complex?
A) \[{{K}_{4}}[Fe{{(CN)}_{6}}]\] done clear
B) \[[Cu{{(N{{H}_{3}})}_{4}}]S{{O}_{4}}\] done clear
C) \[[Co{{(N{{H}_{3}})}_{4}}N{{O}_{2}}Cl]Cl\] done clear
D) \[{{K}_{2}}Fe{{O}_{4}}\] done clear
View Answer play_arrowA) The b.pt of A will be less than B done clear
B) The osmotic pressure of B will be more than that of A done clear
C) The freezing point of solution A will be less than that of B done clear
D) Boiling points of both solutions will be same. done clear
View Answer play_arrowA) \[HgC{{l}_{2}}\]and \[H{{g}_{2}}C{{l}_{2}}\] done clear
B) \[H{{g}_{2}}C{{l}_{2}}\] and \[HgC{{l}_{2}}\] done clear
C) \[HgC{{l}_{2}}\]and \[ZnC{{l}_{2}}\] done clear
D) \[ZnC{{l}_{2}}\]and \[HgC{{l}_{2}}\] done clear
View Answer play_arrowquestion_answer14) In which reaction, there is change in oxidation number of N
A) \[2N{{O}_{2}}\to {{N}_{2}}{{O}_{4}}\] done clear
B) \[N{{H}_{4}}OH\to N{{H}_{4}}^{+}+O{{H}^{-}}\] done clear
C) \[{{N}_{2}}{{O}_{5}}+{{H}_{2}}O\to 2HN{{O}_{3}}\] done clear
D) \[2N{{O}_{2}}+{{H}_{2}}O\to HN{{O}_{3}}+HN{{O}_{2}}\] done clear
View Answer play_arrowA) \[MnO_{4}^{2-},\,M{{n}^{3+}}\] and \[M{{n}^{2+}}\] done clear
B) \[Mn{{O}_{2}},Mn{{O}_{2}}\]and \[M{{n}^{2+}}\] done clear
C) \[Mn{{O}_{2}},Mn{{O}_{2}}^{+}\]and \[M{{n}^{3+}}\] done clear
D) \[MnO,Mn{{O}_{2}}\] and \[M{{n}^{2+}}\] done clear
View Answer play_arrowA) \[4\,{{N}_{A}}\] done clear
B) \[0.4\,{{N}_{A}}\] done clear
C) \[0.1\,{{N}_{A}}\] done clear
D) \[0.2\,{{N}_{A}}\] done clear
View Answer play_arrowA) \[C{{H}_{2}}=CH-C{{H}_{2}}-CH=C{{H}_{2}}\] done clear
B) \[C{{H}_{2}}=CH-C{{H}_{2}}-C{{H}_{2}}-CH=C{{H}_{2}}\] done clear
C) \[H-C\equiv C-C\equiv C-H\] done clear
D) \[C{{H}_{2}}=CH-CH=C{{H}_{2}}\] done clear
View Answer play_arrowA) \[{{C}_{6}}{{H}_{5}}C{{H}_{2}}Br\] done clear
B) \[C{{H}_{3}}Br\] done clear
C) \[{{(C{{H}_{3}})}_{2}}CHBr\] done clear
D) \[{{(C{{H}_{3}})}_{3}}CBr\] done clear
View Answer play_arrowA) \[52,48\] done clear
B) \[42,25\] done clear
C) \[25,42\] done clear
D) None done clear
View Answer play_arrowA) yellow colour of \[CC{{l}_{4}}\]layer done clear
B) purple colour of \[CC{{l}_{4}}\] done clear
C) brown colour in the organic layer of \[CC{{l}_{4}}\] done clear
D) deep blue colour in \[CC{{l}_{4}}\] done clear
View Answer play_arrowA) \[10.376\] done clear
B) \[5.19\] done clear
C) \[7.289\] done clear
D) \[2.144\] done clear
View Answer play_arrowA) B will give an isomer of A done clear
B) C will give an isomer of A done clear
C) Neither of them will give isomer of A done clear
D) Both B and C will give isomer of A done clear
View Answer play_arrowA) \[5\,\min \] done clear
B) \[10\,\min \] done clear
C) \[15\,\min \] done clear
D) \[20\,\min \] done clear
View Answer play_arrowA) Trioxane done clear
B) Formose done clear
C) Paraformaldehyde done clear
D) met aldehyde. done clear
View Answer play_arrowA) 4 done clear
B) 5 done clear
C) 9 done clear
D) 11 done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer27) \[\xrightarrow[(ii)\,CuCl]{(i)\,NaN{{O}_{2}}HCl}A.\] Compound ?A? is
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) \[N{{a}^{+}}\] done clear
B) \[L{{i}^{+}}\] done clear
C) \[B{{a}^{2+}}\] done clear
D) \[M{{g}^{2+}}\] done clear
View Answer play_arrowquestion_answer29) Phospholipids are esters of glycerol with
A) two carboxylic acid residues and one phosphate group done clear
B) one carboxylic acid residue and two phosphate groups done clear
C) three phosphate groups done clear
D) three carboxylic acid residues done clear
View Answer play_arrowquestion_answer30) \[{{C}_{6}}{{H}_{5}}MgBr\xrightarrow{Ether}A\xrightarrow{{{H}_{3}}{{O}^{+}}}Ba\]
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) \[0.55\,m\] done clear
B) \[55\,m\] done clear
C) \[5.5\,m\] done clear
D) \[55\,\times {{10}^{-4}}m\] done clear
View Answer play_arrowA) \[r<\frac{\mu g}{{{\omega }^{2}}}\] only done clear
B) \[r>\frac{\mu g}{{{\omega }^{2}}}\] only done clear
C) \[r=\frac{\mu g}{{{\omega }^{2}}}\] only done clear
D) \[r\le \frac{\mu g}{{{\omega }^{2}}}\] only done clear
View Answer play_arrowA) \[\left( \frac{m}{{{m}_{1}}} \right)\sqrt{5g\ell }\] done clear
B) \[\frac{3}{2}\left( \frac{m}{{{m}_{1}}} \right)\sqrt{5g\ell }\] done clear
C) \[\frac{2}{3}\left( \frac{{{m}_{1}}}{m} \right)\sqrt{5g\ell }\] done clear
D) \[\left( \frac{{{m}_{1}}}{m} \right)\sqrt{g\ell }\] done clear
View Answer play_arrowStatement-1: If some portion of a disc is taken out, the centre of mass shifts to the opposite side of the removed portion. |
Statement-2: The position of centre of mass depends on the position of individual masses only |
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 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) \[{{m}_{2}}/({{m}_{1}}+{{m}_{2}})\] done clear
B) \[{{m}_{1}}/({{m}_{1}}+{{m}_{2}})\] done clear
C) \[{{m}_{1}}/({{m}_{1}}-{{m}_{2}})\] done clear
D) \[{{m}_{2}}/({{m}_{1}}-{{m}_{2}})\] done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) \[h\,\rho g\] done clear
B) \[h\,\rho (g-a)\] done clear
C) \[h\,\rho (g+a)\] done clear
D) \[2h\,\rho \left( \frac{g+a}{g-a} \right)\] done clear
View Answer play_arrowA) \[10\,N\] done clear
B) \[9\,N\] done clear
C) \[8\,N\] done clear
D) \[7\,N\] done clear
View Answer play_arrowA) \[2T.L\] done clear
B) \[4T.L\] done clear
C) \[8T.L\] done clear
D) \[10T.L\] done clear
View Answer play_arrowStatement-1: Two different gas molecules having same temperature will have the same K.E. |
Statement-2: KE of gas molecules follows the Boltzmann's law |
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) \[3276\text{ }J\] done clear
B) \[1638\text{ }J\] done clear
C) \[819\text{ }J\] done clear
D) \[409.5\text{ }J\] done clear
View Answer play_arrowA) the sphere done clear
B) the cube done clear
C) the circular plate done clear
D) all will cool at same rate done clear
View Answer play_arrowA) \[7.5\times {{10}^{5}}\,joule\] done clear
B) \[7.5\times {{10}^{5}}\,ergs\] done clear
C) \[12\times {{10}^{5}}\,joule\] done clear
D) \[6\times {{10}^{5}}\,joule\] done clear
View Answer play_arrowA) \[{{K}_{1}}+{{K}_{2}}\] done clear
B) \[{{K}_{1}}{{K}_{2}}/({{K}_{1}}+{{K}_{2}})\] done clear
C) \[({{K}_{1}}+3{{K}_{2}})/4\] done clear
D) \[(3{{K}_{1}}+{{K}_{2}})/4\] done clear
View Answer play_arrowA) will remain zero done clear
B) will become positive done clear
C) will become negative done clear
D) will become undefined done clear
View Answer play_arrowquestion_answer46) In the circuit shown, the total current supplied by the battery is
A) 2 ampere done clear
B) 4 ampere done clear
C) 1 ampere done clear
D) 6 ampere done clear
View Answer play_arrowA) \[{{C}_{1}}+{{C}_{2}}\] done clear
B) \[\frac{{{C}_{1}}{{C}_{2}}}{{{C}_{1}}+{{C}_{2}}}\] done clear
C) \[{{C}_{1}}\] done clear
D) \[{{C}_{2}}\] done clear
View Answer play_arrowA) \[3\,\mu C\] done clear
B) \[9\,\mu C\] done clear
C) \[6\,\mu C\] done clear
D) \[12\,\mu C\] done clear
View Answer play_arrowA) \[\frac{\pi }{3}\] done clear
B) \[\frac{2\pi }{3}\] done clear
C) \[\frac{5\pi }{6}\] done clear
D) \[\frac{7\pi }{6}\] done clear
View Answer play_arrowA) \[20\sqrt{2}mA\] done clear
B) \[20\,mA\] done clear
C) \[40\,mA\] done clear
D) \[80\,mA\] done clear
View Answer play_arrowquestion_answer51) In fig, what is the magnetic field induction at point O?
A) \[\frac{{{\mu }_{0}}i}{4\pi r}\] done clear
B) \[\frac{{{\mu }_{0}}i}{4\pi r}+\frac{{{\mu }_{0}}i}{2\pi r}\] done clear
C) \[\frac{{{\mu }_{0}}i}{4r}+\frac{{{\mu }_{0}}i}{4\pi r}\] done clear
D) \[\frac{{{\mu }_{0}}i}{4r}-\frac{{{\mu }_{0}}i}{4\pi r}\] done clear
View Answer play_arrowA) \[1:2:2\] done clear
B) \[2:2:1\] done clear
C) \[1:2:1\] done clear
D) \[1:1:2\] done clear
View Answer play_arrowA) zero done clear
B) \[2\,gH\] done clear
C) \[mgH\] done clear
D) \[\sqrt{2\,g\,H}\] done clear
View Answer play_arrowA) Normal to the face through which it emerges done clear
B) Inclined at \[{{30}^{o}}\] to the face through which it emerges done clear
C) Inclined at \[{{60}^{o}}\] to the face through which it emerges done clear
D) Inclined at \[{{90}^{o}}\] to the normal at face through which it emerges done clear
View Answer play_arrowStatement 1: A current flows in a conductor only when there is an electric field within the conductor. |
Statement 2: The drift velocity of electron in presence of electric field decreases. |
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) \[2({{I}_{1}}+{{I}_{2}})\] done clear
B) \[{{I}_{1}}+{{I}_{2}}\] done clear
C) \[{{(\sqrt{{{I}_{1}}}+\sqrt{{{I}_{2}}})}^{2}}\] done clear
D) \[{{(\sqrt{{{I}_{1}}}-\sqrt{{{I}_{2}}})}^{2}}\] done clear
View Answer play_arrowquestion_answer57) Range of frequencies alloted for commercial FM radio broadcast is
A) 88 to 108 MHz done clear
B) 88 to 108 kHz done clear
C) 8 to 108 MHz done clear
D) 88 to 108 GHz 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) 500 done clear
B) 50 done clear
C) 5 done clear
D) 0 done clear
View Answer play_arrowA) it is not possible to obtain the image produced by a convex mirror on the screen done clear
B) a convex lens has high resolving power so it helps to measure the focal length correctly done clear
C) a convex mirror always forms a real image which is diminished by the convex lens done clear
D) none of these done clear
View Answer play_arrowquestion_answer61) Let\[f(x)=[{{(\tan x+\sin x)}^{2}}]\]. Then
A) \[\underset{x\to 0}{\mathop{\lim }}\,f(x)\]does not exist. done clear
B) \[f(x)\] is not continuous at x=0 done clear
C) \[f(x)\] is not differentiable at x = 0 done clear
D) \[f'(0)=0\] done clear
View Answer play_arrowA) \[a=3,\,\,b=-3\] done clear
B) \[a=9,\,\,b=3\] done clear
C) \[a=0,\,\,b=-6\] done clear
D) \[a=3,\,\,b=9\] done clear
View Answer play_arrowA) \[f(x)={{x}^{2}}+1\] done clear
B) \[f(x)=\frac{{{x}^{2}}+1}{2x}\] done clear
C) \[f(x)=\frac{{{x}^{2}}+1}{x}\] done clear
D) \[f(x)=\frac{1}{2}({{x}^{2}}+1)\] done clear
View Answer play_arrowA) \[P=5,\,\,Q=-6,\,\,R=3\] done clear
B) \[P=-5,\,\,Q=6,\,\,R=3\] done clear
C) \[P=-5,\,\,Q=6,\,\,R=3\] done clear
D) \[P=3,\,\,Q=2,\,\,R=3\] done clear
View Answer play_arrowStatement-1: The area of the ellipse \[2{{x}^{2}}+3{{y}^{2}}=6\] is more than the area of the circle\[{{x}^{2}}+{{y}^{2}}-2x+4y+4=0\]. |
Statement-2: If the length of the major axis of an ellipse is more than the diameter of a circle then the area of the ellipse will be more than the area of the circle. |
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) \[\frac{{{a}^{2}}}{3}(6\pi -4)\] done clear
B) \[\frac{{{a}^{2}}}{3}(4\pi +3)\] done clear
C) \[\frac{{{a}^{2}}}{3}(8\pi +3)\] done clear
D) none of these done clear
View Answer play_arrowA) \[\overrightarrow{c}/p-\left[ (\overrightarrow{b}.\overrightarrow{c})\overrightarrow{a} \right]/{{p}^{2}}\] done clear
B) \[\overrightarrow{a}/p-\left[ (\overrightarrow{c}.\overrightarrow{a})\overrightarrow{b} \right]/{{p}^{2}}\] done clear
C) \[\overrightarrow{b}/p-\left[ (\overrightarrow{a}.\overrightarrow{b})\overrightarrow{c} \right]/{{p}^{2}}\] done clear
D) None done clear
View Answer play_arrowStatement-1: The domain of the function\[f(x)=\sqrt{{{\log }_{2}}\sin x}\]is\[(4n+1)\frac{\pi }{2},\,\,n\in N\]. |
Statement-1: Expression under even root should be\[\ge 0\]. |
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) \[\frac{a}{c}\sigma \] done clear
B) \[\left| \frac{a}{c} \right|\sigma \] done clear
C) \[\left| \frac{c}{a} \right|\sigma \] done clear
D) \[\frac{c}{a}\sigma \] done clear
View Answer play_arrowStatement 1: The determinant of a matrix is zero. |
Statement 2: The determinant of a skew symmetric matrix of odd order 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_answer71) If \[A\] and \[B\] are two sets, then \[A\cap (A\cup B)'\] equals:
A) \[A\] done clear
B) \[B\] done clear
C) \[\phi \] done clear
D) None done clear
View Answer play_arrowquestion_answer72) \[f(x)={{x}^{2}}[x]\]
A) increases in\[(0,\,\,1)\] done clear
B) decreases in\[(0,\,\,1)\] done clear
C) increases in\[(-1,\,\,0)\] done clear
D) none of these done clear
View Answer play_arrowquestion_answer73) If\[y={{e}^{x}}+\sin x\], then\[{{d}^{2}}x/d{{y}^{2}}\]is equal to
A) \[{{e}^{x}}-\sin x\] done clear
B) \[-{{({{e}^{x}}+\cos x)}^{-2}}\] done clear
C) \[-({{e}^{x}}-\sin x){{({{e}^{x}}+\cos x)}^{-2}}\] done clear
D) \[(\sin x-{{e}^{x}}){{(\cos x+{{e}^{x}})}^{-3}}\] done clear
View Answer play_arrowA) \[n-1-{{2}^{-n}}\] done clear
B) \[1\] done clear
C) \[n-1+{{2}^{-n}}\] done clear
D) \[1+{{2}^{-n}}\] done clear
View Answer play_arrowStatement-1:\[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{2}^{1/x}}}{1+{{2}^{1/x}}}=1.\] |
Statement-2:\[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{\cos }^{-1}}\left( 1-x \right)}{\sqrt{x}}=\sqrt{2}.\] |
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_arrowA) \[m=3,\,\,n=6\] done clear
B) \[m=6,\,\,n=3\] done clear
C) \[m=5,\,\,n=6\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer77) A set \[A\] has \[3\] elements and another set \[B\] has \[6\] elements. Then
A) \[3\le n(A\cup B)\le 6\] done clear
B) \[3\le n(A\cup B)\le 9\] done clear
C) \[6\le n(A\cup B)\le 9\] done clear
D) \[0\le n(A\cup B)\le 9\] done clear
View Answer play_arrowA) \[\alpha =1,\,\,\beta =1\] done clear
B) \[\alpha =2,\,\,\beta =-1\] done clear
C) \[\alpha =1,\,\,\beta =-2\] done clear
D) \[\alpha =-2,\,\,\beta =-1\] done clear
View Answer play_arrowA) positive done clear
B) negative done clear
C) of opposite signs done clear
D) non real done clear
View Answer play_arrowquestion_answer80) The value of \[x\] for which \[({{\cot }^{-1}}(1+x))=\cos ({{\tan }^{-1}}x)\]is
A) \[1/2\] done clear
B) \[1\] done clear
C) \[0\] done clear
D) \[-1/2\] done clear
View Answer play_arrowquestion_answer81) The equation \[k\sin \theta +\cos 2\theta =2k-7\] possesses a solution if:
A) \[2\le k\le 6\] done clear
B) \[k>2\] done clear
C) \[k>6\] done clear
D) \[k<2\] done clear
View Answer play_arrowA) \[\frac{2}{5}\] done clear
B) \[\frac{3}{5}\] done clear
C) \[\frac{3}{2}\] done clear
D) \[\frac{3}{4}\] done clear
View Answer play_arrowA) \[\frac{dy}{dx}=\frac{2}{1+{{x}^{2}}}\]for\[|x|\,\,<1\] done clear
B) \[\frac{dy}{dx}=\frac{-2}{1+{{x}^{2}}}\]for\[|x|\,>1\] done clear
C) \[\frac{dy}{dx}=2\]for\[x=-1\] done clear
D) \[\frac{dy}{dx}\]does not exist at\[|x|=1\] done clear
View Answer play_arrowA) \[2\] done clear
B) \[1\] done clear
C) \[0\] done clear
D) infinite done clear
View Answer play_arrowStatement-1: The period of\[f(x)=\sin 2x\cos [2x]-\cos 2x\sin [2x]\]is\[\frac{1}{2}\] |
Statement-2: The period of\[x-[x]\]is\[1\] |
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) \[y={{\tan }^{-1}}\log (e/x)\] done clear
B) \[y={{e}^{1+\cot (y/x)}}\] done clear
C) \[y=x{{\tan }^{-1}}\log (e/x)\] done clear
D) \[y={{e}^{1+\tan y(y/x)}}\] done clear
View Answer play_arrowA) \[-\frac{3}{5}\log 2\] done clear
B) \[\frac{2}{5}\log 2\] done clear
C) \[-\frac{3}{2}\log 2\] done clear
D) None done clear
View Answer play_arrowA) \[0\] done clear
B) \[1\] done clear
C) \[-1\] done clear
D) None done clear
View Answer play_arrowA) \[\frac{x-y}{x+y}\] done clear
B) \[\frac{xy}{1+x+y+xy}\] done clear
C) \[\frac{x-y}{1-x-y+2xy}\] done clear
D) \[\frac{xy}{1-x-y+2xy}\] done clear
View Answer play_arrowA) \[a\sqrt{2}-1\] done clear
B) \[a\sqrt{2}+1\] done clear
C) \[0\] done clear
D) \[a\] done clear
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