Solved papers for JEE Main & Advanced JEE Main Paper (Held on 09-4-2019 Morning)

done JEE Main Paper (Held on 09-4-2019 Morning) Total Questions - 90

• question_answer1) In the density measurement of a cube, the mass and edge length are measured as \[\left( 10.00\pm 0.10 \right)\text{ }kg\]and\[\left( 0.10\pm 0.01 \right)\text{ }m,\]respectively. The error in the measurement of density is:         [JEE Main 9-4-2019 Morning]
  A)
  \[0.10\text{ }kg/{{m}^{3}}\]
  done clear
  B)
    \[0.31\text{ }kg/{{m}^{3}}\]
  done clear
  C)
  \[0.07\text{ }kg/{{m}^{3}}\]           
  done clear
  D)
  \[0.01\text{ }kg/{{m}^{3}}\]
  done clear
  View Answer play_arrow

• question_answer2) An HCl molecule has rotational, translational and vibrational motions. If the rms velocity of HCl molecules in its gaseous phase is \[\overline{\text{v}},m\]is its mass and \[{{k}_{B}}\]is Boltzmann constant, then its temperature will be:                                                             [JEE Main 9-4-2019 Morning]
  A)
  \[\frac{m{{\overline{\text{v}}}^{2}}}{6{{k}_{B}}}\]
  done clear
  B)
    \[\frac{m{{\overline{\text{v}}}^{2}}}{5{{k}_{B}}}\]
  done clear
  C)
  \[\frac{m{{\overline{\text{v}}}^{2}}}{3{{k}_{B}}}\]                             
  done clear
  D)
  \[\frac{m{{\overline{\text{v}}}^{2}}}{7{{k}_{B}}}\]
  done clear
  View Answer play_arrow

• question_answer3) Following figure shows two processes A and B for a gas. If \[\Delta {{Q}_{A}}\]and \[\Delta {{Q}_{B}}\]are the amount of heat absorbed by the system in two cases, and \[\Delta {{U}_{A}}\]and \[\Delta {{U}_{B}}\]are changes in internal energies, respectively, then : [JEE Main 9-4-2019 Morning]
  A)
  \[\Delta {{Q}_{A}}=\Delta {{Q}_{B}};\Delta {{U}_{A}}=\Delta {{U}_{B}}\]
  done clear
  B)
  \[\Delta {{Q}_{A}}>\Delta {{Q}_{B}};\Delta {{U}_{A}}=\Delta {{U}_{B}}\]
  done clear
  C)
  \[\Delta {{Q}_{A}}>\Delta {{Q}_{B}};\Delta {{U}_{A}}>\Delta {{U}_{B}}\]
  done clear
  D)
  \[\Delta {{Q}_{A}}<\Delta {{Q}_{B}};\Delta {{U}_{A}}<\Delta {{U}_{B}}\]
  done clear
  View Answer play_arrow

• question_answer4) A wire of resistance R is bent to form a square ABCD as shown in the figure. The effective resistance between E and C is: (E is mid-point of arm CD)             [JEE Main 9-4-2019 Morning]
  A)
  \[R\]                            
  done clear
  B)
  \[\frac{1}{16}R\]
  done clear
  C)
  \[\frac{7}{64}R\]
  done clear
  D)
  \[\frac{3}{4}R\]
  done clear
  View Answer play_arrow

• question_answer5) The total number of turns and cross-section area in a solenoid is fixed. However, its length L is varied by adjusting the separation between windings. The inductance of solenoid will be proportional to: [JEE Main 9-4-2019 Morning]
  A)
  \[1/{{L}^{2}}\]
  done clear
  B)
                \[1/L\]
  done clear
  C)
  \[L\]                            
  done clear
  D)
  \[{{L}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer6) A simple pendulum oscillating in air has period T. The bob of the pendulum is completely immersed in a non-viscous liquid. The density of the liquid is \[\frac{1}{16}\]th of the material of the bob. If the bob is inside liquid all the time, its period of oscillation in this liquid is : [JEE Main 9-4-2019 Morning]
  A)
  \[4T\sqrt{\frac{1}{15}}\]
  done clear
  B)
    \[2T\sqrt{\frac{1}{10}}\]
  done clear
  C)
  \[4T\sqrt{\frac{1}{14}}\]                   
  done clear
  D)
  \[2T\sqrt{\frac{1}{14}}\]
  done clear
  View Answer play_arrow

• question_answer7) Determine the charge on the capacitor in the following circuit : [JEE Main 9-4-2019 Morning]
  A)
  \[2\mu C\]                   
  done clear
  B)
  \[60\mu C\]
  done clear
  C)
  \[200\mu C\]
  done clear
  D)
  \[10\mu C\]
  done clear
  View Answer play_arrow

• question_answer8) A system of three charges are placed as shown in the figure : If \[D>>d,\]the potential energy of the system is best given by:             [JEE Main 9-4-2019 Morning]
  A)
  \[\frac{1}{4\pi {{\varepsilon }_{0}}}\left[ -\frac{{{q}^{2}}}{d}-\frac{qQd}{2{{D}^{2}}} \right]\]   
  done clear
  B)
  \[\frac{1}{4\pi {{\varepsilon }_{0}}}\left[ +\frac{{{q}^{2}}}{d}+\frac{qQd}{{{D}^{2}}} \right]\]
  done clear
  C)
  \[\frac{1}{4\pi {{\varepsilon }_{0}}}\left[ -\frac{{{q}^{2}}}{d}+\frac{2qQd}{{{D}^{2}}} \right]\] 
  done clear
  D)
  \[\frac{1}{4\pi {{\varepsilon }_{0}}}\left[ -\frac{{{q}^{2}}}{d}-\frac{qQd}{{{D}^{2}}} \right]\]
  done clear
  View Answer play_arrow

• question_answer9) The stream of a river is flowing with a speed of 2km/h. A swimmer can swim at a speed of 4km/h. What should be the direction of the swimmer with respect to the flow of the river to cross the river straight? [JEE Main 9-4-2019 Morning]
  A)
  \[60{}^\circ \]                       
  done clear
  B)
  \[150{}^\circ \]
  done clear
  C)
  \[90{}^\circ \]                       
  done clear
  D)
  \[120{}^\circ \]
  done clear
  View Answer play_arrow

• question_answer10) A body of mass 2 kg makes an eleastic collision with a second body at rest and continues to move in the original direction but with one fourth of its original speed. What is the mass of the second body? [JEE Main 9-4-2019 Morning]
  A)
  1.8 kg              
  done clear
  B)
  1.2 kg
  done clear
  C)
  1.5 kg              
  done clear
  D)
  1.0 kg
  done clear
  View Answer play_arrow

• question_answer11) A solid sphere of mass 'M' and radius 'a' is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance '3a' from the centre will be: [JEE Main 9-4-2019 Morning]
  A)
  \[\frac{2GM}{9{{a}^{2}}}\]                      
  done clear
  B)
  \[\frac{GM}{3{{a}^{2}}}\]
  done clear
  C)
  \[\frac{GM}{9{{a}^{2}}}\]                        
  done clear
  D)
  \[\frac{2GM}{3{{a}^{2}}}\]
  done clear
  View Answer play_arrow

• question_answer12) The pressure wave, \[P=0.01\] \[\sin \left[ 1000t3x \right]\]\[N{{m}^{2}},\]corresponds to the sound produced by a vibrating blade on a day when atmospheric temperature is \[0{}^\circ C\]. On some other day, when temperature is T, the speed of sound produced by the same blade and at the same frequency is found to be \[336m{{s}^{-1}}.\]Approximate value of T is : [JEE Main 9-4-2019 Morning]
  A)
  \[15{}^\circ C\]                    
  done clear
  B)
  \[12{}^\circ C\]
  done clear
  C)
  \[4{}^\circ C\]
  done clear
  D)
  \[11{}^\circ C\]
  done clear
  View Answer play_arrow

• question_answer13) An NPN transistor is used in common emitter configuration as an amplifier with \[1k\Omega \]load resistance. Signal voltage of 10 mV is applied across the base-emitter. This produces a 3 mA change in the collector current and \[15\mu A\] change in the base current of the amplifier. The input resistance and voltage gain are: [JEE Main 9-4-2019 Morning]
  A)
  \[0.33k\Omega ,1.5\]              
  done clear
  B)
  \[0.67k\Omega ,200\]
  done clear
  C)
  \[0.33k\Omega ,300\]             
  done clear
  D)
  \[0.67k\Omega ,300\]
  done clear
  View Answer play_arrow

• question_answer14) A moving coil galvanometer has resistance \[50\Omega \]and it indicates full deflection at 4mA current. A voltmeter is made using this galvanometer and a \[5k\Omega \]resistance. The maximum voltage, that can be measured using this voltmeter, will be close to : [JEE Main 9-4-2019 Morning]
  A)
  10 V                
  done clear
  B)
  20 V
  done clear
  C)
  40 V                
  done clear
  D)
  15 V
  done clear
  View Answer play_arrow

• question_answer15) The electric field of light wave is given as \[\vec{E}={{10}^{-3}}\cos \left( \frac{2\pi x}{5\times {{10}^{-7}}}-2\pi \times 6\times {{10}^{14}}t \right)\]\[\hat{x}\frac{N}{C}.\]This light falls on a metal plate of work function 2eV. The stopping potential of the photo-electrons is : Given, E (in eV) \[=\frac{12375}{\lambda (in\overset{\text{o}}{\mathop{\text{A}}}\,)}\]             [JEE Main 9-4-2019 Morning]
  A)
  0.48 V
  done clear
  B)
  2.0 V
  done clear
  C)
  2.48 V             
  done clear
  D)
  0.72 V
  done clear
  View Answer play_arrow

• question_answer16) A ball is thrown vertically up (taken as +z-axis) from the ground. The correct momentum-height (p-h) diagram is : [JEE Main 9-4-2019 Morning]
  A)
  
  done clear
  B)
  
  done clear
  C)
               
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer17) A capacitor with capacitance \[5\mu F\]is charged to \[5\mu C.\]If the plates are pulled apart to reduce the capacitance to \[2\mu F,\]how much work is done? [JEE Main 9-4-2019 Morning]
  A)
  \[3.75\times {{10}^{6}}J\]  
  done clear
  B)
  \[2.55\times {{10}^{6}}J\]
  done clear
  C)
  \[2.16\times {{10}^{6}}J\]              
  done clear
  D)
  \[6.25\times {{10}^{6}}J\]
  done clear
  View Answer play_arrow

• question_answer18) A rigid square loop of side 'a' and carrying current \[{{I}_{2}}\]is lying on a horizontal surface near a long current \[{{I}_{1}}\]carrying wire in the same plane as shown in figure. The net force on the loop due to wire will be : [JEE Main 9-4-2019 Morning]
  A)
  Attractive and equal to \[\frac{{{\mu }_{0}}{{I}_{1}}{{I}_{2}}}{3\pi }\]
  done clear
  B)
  Repulsive and equal to \[\frac{{{\mu }_{0}}{{I}_{1}}{{I}_{2}}}{4\pi }\]
  done clear
  C)
  Repulsive and equal to\[\frac{{{\mu }_{0}}{{I}_{1}}{{I}_{2}}}{2\pi }\]
  done clear
  D)
  Zero
  done clear
  View Answer play_arrow

• question_answer19) The figure shows a Young's double slit experimental setup. It is observed that when a thin transparent sheet of thickness t and refractive index μ is put in front of one of the slits, the central maximum gest shifted by a distance equal to n fringe widths. If the wavelength of light used is \[\lambda ,t\]will be : [JEE Main 9-4-2019 Morning]
  A)
  \[\frac{2D\lambda }{a(\mu -1)}\]                  
  done clear
  B)
  \[\frac{D\lambda }{a(\mu -1)}\]
  done clear
  C)
  \[\frac{2nD\lambda }{a(\mu -1)}\]                
  done clear
  D)
  \[\frac{nD\lambda }{a(\mu -1)}\]
  done clear
  View Answer play_arrow

• question_answer20) A string is clamped at both the ends and it is vibrating in its 4th harmonic. The equation of the stationary wave is \[Y=0.3\sin \]\[(0.157x)cos\]\[(200\pi t)\]. The length of the string is : (All quantities are in SI units.)             [JEE Main 9-4-2019 Morning]
  A)
  20 m               
  done clear
  B)
  80 m
  done clear
  C)
  60 m               
  done clear
  D)
  40 m
  done clear
  View Answer play_arrow

• question_answer21) The following bodies are made to roll up (without slipping) the same inclined plane from a horizontal plane. : (i) a ring of radius R, (ii) a solid cylinder of radius \[\frac{R}{2}\] and (iii) a solid sphere of radius \[\frac{R}{4}\]. If in each case, the speed of the centre of mass at the bottom of the incline is same, the ratio of the maximum heights they climb is : [JEE Main 9-4-2019 Morning]
  A)
  4 : 3 : 2                       
  done clear
  B)
  14 : 15 : 20
  done clear
  C)
  10 : 15 : 7
  done clear
  D)
  2 : 3 : 4
  done clear
  View Answer play_arrow

• question_answer22) A stationary horizontal disc is free to rotate about its axis. When a torque is applied on it, its kinetic energy as a function of \[\theta ,\]where \[\theta \] is the angle by which it has rotated, is given as \[k{{\theta }^{2}}.\]If its moment of inertia is I then the angular acceleration of the disc is : [JEE Main 9-4-2019 Morning]
  A)
  \[\frac{k}{2I}\theta \]                         
  done clear
  B)
  \[\frac{k}{I}\theta \]
  done clear
  C)
  \[\frac{k}{4I}\theta \]                         
  done clear
  D)
  \[\frac{2k}{I}\theta \]
  done clear
  View Answer play_arrow

• question_answer23) A uniform cable of mass 'M' and length 'L' is placed on a horizontal surface such that its \[{{\left( \frac{1}{n} \right)}^{th}}\]part is hanging below the edge of the surface. To lift the hanging part of the cable up to the surface, the work done should be :             [JEE Main 9-4-2019 Morning]
  A)
  \[\frac{MgL}{{{n}^{2}}}\]             
  done clear
  B)
  \[\frac{MgL}{2{{n}^{2}}}\]
  done clear
  C)
  \[\frac{2MgL}{{{n}^{2}}}\]                       
  done clear
  D)
  \[nMgL\]
  done clear
  View Answer play_arrow

• question_answer24) If 'M' is the mass of water that rises in a capillary tube of radius 'r', then mass of water which will rise in a capillary tube of radius '2r' is :   [JEE Main 9-4-2019 Morning]
  A)
  \[4M\]  
  done clear
  B)
    \[M\]
  done clear
  C)
  \[2M\]
  done clear
  D)
  \[\frac{M}{2}\]
  done clear
  View Answer play_arrow

• question_answer25) Taking the wavelength of first Balmer line in hydrogen spectrum (n = 3 to n = 2) as 660 nm, the wavelength of the 2nd Balmer line (n = 4 to n = 2) will be : [JEE Main 9-4-2019 Morning]
  A)
  889.2 nm                    
  done clear
  B)
  642.7 nm
  done clear
  C)
  488.9 nm
  done clear
  D)
  388.9 nm
  done clear
  View Answer play_arrow

• question_answer26) The magnetic field of a plane electromagnetic wave is given by : \[\vec{B}={{B}_{0}}\hat{i}[cos(kz-\omega t)]+{{B}_{1}}\hat{j}\cos (kz+\omega t)\] where \[{{B}_{0}}=3\times {{10}^{-5}}T\] and \[{{B}_{1}}=2\times {{10}^{-6}}T.\] The rms  value of the force experienced by a stationary charge \[Q={{10}^{-4}}C\]at \[z=0\]is closest to :             [JEE Main 9-4-2019 Morning]
  A)
  \[0.9\text{ }N\]                       
  done clear
  B)
  \[0.1\text{ }N\]
  done clear
  C)
  \[3\times {{10}^{2}}N\]                  
  done clear
  D)
  \[0.6N\]
  done clear
  View Answer play_arrow

• question_answer27) A rectangular coil (Dimension \[5cm\times 2.5cm)\] with 100 turns, carrying a current of 3 A in the clock-wise direction is kept centered at the origin and in the X-Z plane. A magnetic field of 1 T is applied along X-axis. If the coil is tilted through\[45{}^\circ \]about Z-axis, then the torque on the coil is : [JEE Main 9-4-2019 Morning]
  A)
  0.55 Nm                     
  done clear
  B)
  0.27 Nm
  done clear
  C)
  0.38 Nm         
  done clear
  D)
  0.42 Nm
  done clear
  View Answer play_arrow

• question_answer28) A concave mirror for face viewing has focal length of 0.4 m. The distance at which you hold the mirror from your face in order to see your image upright with a magnification of 5 is : [JEE Main 9-4-2019 Morning]
  A)
  1.60 m                        
  done clear
  B)
  0.24 m
  done clear
  C)
  0.16 m                        
  done clear
  D)
  0.32 m
  done clear
  View Answer play_arrow

• question_answer29) A signal \[A\cos \omega t\] is transmitted using \[{{\text{v}}_{\text{0}}}\sin {{\omega }_{0}}t\] as carrier wave. The correct amplitude modulated (AM) signal is : [JEE Main 9-4-2019 Morning]
  A)
  \[{{\text{v}}_{\text{0}}}\sin {{\omega }_{0}}t+A\cos \omega t\]
  done clear
  B)
  \[{{\text{v}}_{\text{0}}}\sin {{\omega }_{0}}t+\frac{A}{2}sin({{\omega }_{0}}-\omega )t+\frac{A}{2}\sin ({{\omega }_{0}}+\omega )t\]
  done clear
  C)
  \[\text{(}{{\text{v}}_{\text{0}}}+A)cos\omega t\sin {{\omega }_{0}}t\]
  done clear
  D)
  \[{{\text{v}}_{\text{0}}}sin[{{\omega }_{0}}(1+0.01A\,sin\omega t)t]\]
  done clear
  View Answer play_arrow

• question_answer30) For a given gas at 1 atm pressure, rms speed of the molecule is 200 m/s at \[127{}^\circ C.\] At 2 atm pressure and at\[~227{}^\circ C,\]the rms speed of the molecules will be :             [JEE Main 9-4-2019 Morning]
  A)
  \[80\text{ }m/s\]                      
  done clear
  B)
  100 5 m/s
  done clear
  C)
  \[80\sqrt{5}m/s\]                    
  done clear
  D)
  \[100\text{ }m/s\]
  done clear
  View Answer play_arrow

• question_answer31) The correct order of the oxidation states of nitrogen in \[NO,{{N}_{2}}O,N{{O}_{2}}\]and \[{{N}_{2}}{{O}_{3}}\]is : [JEE Main 9-4-2019 Morning]
  A)
  \[N{{O}_{2}}<{{N}_{2}}{{O}_{3}}<NO<{{N}_{2}}O\]
  done clear
  B)
  \[N{{O}_{2}}<NO<{{N}_{2}}{{O}_{3}}<{{N}_{2}}O\]
  done clear
  C)
  \[{{N}_{2}}O<{{N}_{2}}{{O}_{3}}<NO<N{{O}_{2}}\]
  done clear
  D)
  \[{{N}_{2}}O<NO<{{N}_{2}}{{O}_{3}}<N{{O}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer32) The degenerate orbitals of \[{{[Cr{{({{H}_{2}}O)}_{6}}]}^{3+}}\]are : [JEE Main 9-4-2019 Morning]
  A)
  \[{{d}_{yz}}\,\text{and}\,\,{{d}_{{{z}^{2}}}}\]              
  done clear
  B)
  \[{{d}_{{{z}^{2}}}}\,\text{and}\,\,{{d}_{xz}}\]
  done clear
  C)
  \[{{d}_{xz}}\,\text{and}\,\,{{d}_{yz}}\]      
  done clear
  D)
  \[{{d}_{{{x}^{2}}-{{y}^{2}}}}\,\text{and}\,\,{{d}_{xy}}\]
  done clear
  View Answer play_arrow

• question_answer33) The mojor product of the following reaction is : [JEE Main 9-4-2019 Morning]
  A)
    
  done clear
  B)
  
  done clear
  C)
                
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer34) The organic compound that gives following qualitative analysis is:

  Test	Inference
  [a] Dil. HCl	Insoluble
  [b] NaOH solution	soluble
  [c] \[B{{r}_{2}}\]/water	Decolourization

                  [JEE Main 9-4-2019 Morning]
  A)
       
  done clear
  B)
  
  done clear
  C)
                      
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer35) Which of the following statements is not true about sucrose? [JEE Main 9-4-2019 Morning]
  A)
  On hydrolysis, it produces glucose and fructose
  done clear
  B)
  The glycosidic linkage is present between \[{{C}_{1}}\]of \[\alpha -\]glucose and \[{{C}_{1}}\] of \[\beta -\]fructose
  done clear
  C)
  It is also named as invert sugar
  done clear
  D)
  It is a non reducing sugar
  done clear
  View Answer play_arrow

• question_answer36) Excessive release of \[C{{O}_{2}}\] into the atomosphere results in : [JEE Main 9-4-2019 Morning]
  A)
  polar vortex     
  done clear
  B)
  depletion of ozone
  done clear
  C)
  formation of smog
  done clear
  D)
  global warming
  done clear
  View Answer play_arrow

• question_answer37) Among the following, the molecule expected to be stabilized by anion formation is : [JEE Main 9-4-2019 Morning] \[{{C}_{2}},{{O}_{2}},NO,{{F}_{2}}\]
  A)
  \[NO\]                         
  done clear
  B)
  \[{{C}_{2}}\]
  done clear
  C)
  \[{{F}_{2}}\]                        
  done clear
  D)
  \[{{O}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer38) The one that will show optical activity is : (en = ethane-1,2-diamine)                         [JEE Main 9-4-2019 Morning]
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer39) The given plots represent the variation of the concentration of a reactant R with time for two different reactions (i) and (ii). The respective orders of the reactions are: [JEE Main 9-4-2019 Morning]
  A)
  1, 0
  done clear
  B)
  1, 1
  done clear
  C)
  0, 1                 
  done clear
  D)
    0, 2
  done clear
  View Answer play_arrow

• question_answer40) The aerosol is a kind of colloid in which : [JEE Main 9-4-2019 Morning]
  A)
  gas is dispersed in solid
  done clear
  B)
  solid is dispersed in gas
  done clear
  C)
  liquid is dispersed in water
  done clear
  D)
  gas is dispersed in liquid
  done clear
  View Answer play_arrow

• question_answer41) The mojor product of the following reaction is : [JEE Main 9-4-2019 Morning]
  A)
                           
  done clear
  B)
  
  done clear
  C)
    
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer42) For a reaction, \[{{N}_{2}}(g)+3{{H}_{2}}(g)\to 2N{{H}_{3}}(g);\]identify dihydrogen \[({{H}_{2}})\] as a limiting reagent in the following reaction mixtures.                         [JEE Main 9-4-2019 Morning]
  A)
  \[\text{14g of }{{\text{N}}_{\text{2}}}\text{+4g of }{{\text{H}}_{\text{2}}}\]
  done clear
  B)
  \[\text{28g of }{{\text{N}}_{\text{2}}}\text{+6g of }{{\text{H}}_{\text{2}}}\]
  done clear
  C)
  \[\text{56g of }{{\text{N}}_{\text{2}}}\text{+10g of }{{\text{H}}_{\text{2}}}\]
  done clear
  D)
  \[\text{35g of }{{\text{N}}_{\text{2}}}\text{+8g of }{{\text{H}}_{\text{2}}}\]
  done clear
  View Answer play_arrow

• question_answer43) The number of water molecule(s) not coordinated to copper ion directly in \[CuS{{O}_{4}}.5{{H}_{2}}O,\] is : [JEE Main 9-4-2019 Morning]
  A)
  4                                 
  done clear
  B)
  3
  done clear
  C)
  1         
  done clear
  D)
  2
  done clear
  View Answer play_arrow

• question_answer44) The correct IUPAC name of the following compound is : [JEE Main 9-4-2019 Morning]
  A)
  5-chloro-4-methy1-1-nitrobenzene
  done clear
  B)
  2-methyl-5-nitro-1-chlorobenzene
  done clear
  C)
  3-chloro-4-methy1-1-nitrobenzene
  done clear
  D)
  2-chloro-1-methy1-4-nitrobenzene
  done clear
  View Answer play_arrow

• question_answer45) \[{{C}_{60}},\]an allotrope of carbon contains : [JEE Main 9-4-2019 Morning]
  A)
  20 hexagons and 12 pentagons.
  done clear
  B)
  12 hexagons and 20 pentagons.
  done clear
  C)
  18 hexagons and 14 pentagons.
  done clear
  D)
  16 hexagons and 16 pentagons.
  done clear
  View Answer play_arrow

• question_answer46) Among the following, the set of parameters that represents path function, is :

  [A] q + w

  [B] q

  [C] w

  [D] H-TS

                                                                          [JEE Main 9-4-2019 Morning]
  A)
  [A] and [D]
  done clear
  B)
  [B], [C] and [D]
  done clear
  C)
  [B] and [C]     
  done clear
  D)
  [A], [B] and [C]
  done clear
  View Answer play_arrow

• question_answer47) The osmotic pressure of a dilute solution of an ionic compound XY in water is four times that of a solution of \[0.01\,M\,BaC{{l}_{2}}\]in water. Assuming complete dissociation of the given ionic compounds in water, the concentration of XY (in \[mol\,{{L}^{-1}}\]) in solution is :                         [JEE Main 9-4-2019 Morning]
  A)
  \[6\times {{10}^{-2}}\]
  done clear
  B)
  \[4\times {{10}^{-4}}\]
  done clear
  C)
  \[16\times {{10}^{-4}}\]                 
  done clear
  D)
  \[4\times {{10}^{-2}}\]
  done clear
  View Answer play_arrow

• question_answer48) The standard Gibbs energy for the given cell reaction in \[kJ\,mo{{l}^{-1}}\] at 298 K is :

  \[Zn(s)+C{{u}^{2+}}(aq)\to Z{{n}^{2+}}(aq)+Cu(s),\]

  \[{{E}^{o}}=2\,V\,at\,298K\]

  (Faraday's constant, \[F=96000\,C\,mo{{l}^{-1}}\])

              [JEE Main 9-4-2019 Morning]
  A)
  -384
  done clear
  B)
                -192
  done clear
  C)
  192                 
  done clear
  D)
  384
  done clear
  View Answer play_arrow

• question_answer49) The increasing order of reactivity of the following compounds towards aromatic electrophilic substitution reaction is : [JEE Main 9-4-2019 Morning]
  A)
  \[D<B<A<C\]          
  done clear
  B)
  \[A<B<C<D\]
  done clear
  C)
  \[D<A<C<B\]
  done clear
  D)
  \[B<C<A<D\]
  done clear
  View Answer play_arrow

• question_answer50) The ore that contains the metal in the form of fluoride is :             [JEE Main 9-4-2019 Morning]
  A)
  magnetite                    
  done clear
  B)
  sphalerite
  done clear
  C)
  malachite                    
  done clear
  D)
  cryolite
  done clear
  View Answer play_arrow

• question_answer51) Consider the van der Waals constants, a and b, for the following gases.

  \[\begin{matrix}    Gas & Ar & Ne & Kr & Xe  \\    a/(atm\,d{{m}^{6}}\,mo{{l}^{-2}}) & 1.3 & 0.2 & 5.1 & 4.1  \\    b/({{10}^{-2}}\,d{{m}^{3}}\,mo{{l}^{-1}}) & 3.2 & 1.7 & 1.0 & 5.0  \\ \end{matrix}\]

  Which gas is expected to have the highest critical temperature?             [JEE Main 9-4-2019 Morning]
  A)
  Kr        
  done clear
  B)
  Ne
  done clear
  C)
  Ar                               
  done clear
  D)
  Xe
  done clear
  View Answer play_arrow

• question_answer52) The major product of the following reaction is :             [JEE Main 9-4-2019 Morning]
  A)
               
  done clear
  B)
  
  done clear
  C)
                                
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer53)           The major product of the following reaction is : \[C{{H}_{3}}CH=CHC{{O}_{2}}C{{H}_{3}}\xrightarrow[{}]{LiAl{{H}_{4}}}\]             [JEE Main 9-4-2019 Morning]
  A)
  \[C{{H}_{3}}C{{H}_{2}}C{{H}_{2}}CHO\]
  done clear
  B)
  \[C{{H}_{3}}CH=CHC{{H}_{2}}OH\]
  done clear
  C)
  \[C{{H}_{3}}C{{H}_{2}}C{{H}_{2}}C{{O}_{2}}C{{H}_{3}}\]
  done clear
  D)
  \[C{{H}_{3}}C{{H}_{2}}C{{H}_{2}}C{{H}_{2}}OH\]
  done clear
  View Answer play_arrow

• question_answer54) Magnisium powder burns in air to give: [JEE Main 9-4-2019 Morning]
  A)
  \[MgO\] only
  done clear
  B)
  \[MgO\]and \[Mg{{(N{{O}_{3}})}_{2}}\]
  done clear
  C)
  \[MgO\]and \[M{{g}_{3}}{{N}_{2}}\]
  done clear
  D)
  \[Mg{{(N{{O}_{3}})}_{2}}\]and \[M{{g}_{3}}{{N}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer55) Liquid 'M' and liquid 'N' form an ideal solution. The vapour pressures of pure liquids 'M' and 'N' are 450 and 700 mmHg, respectively, at the same temperature. Then correct statement is:

  (\[{{x}_{M}}\] = Mole fraction of 'M' in solution ;

  \[{{x}_{N}}\] = Mole fraction of 'N' in solution ;

  \[{{y}_{M}}\] = Mole fraction of 'M' in vapour phase ;

  \[{{y}_{N}}\] = Mole fraction of 'N' in vapour phase)

              [JEE Main 9-4-2019 Morning]
  A)
  \[({{x}_{M}}-{{y}_{M}})<({{x}_{N}}-{{y}_{N}})\]     
  done clear
  B)
  \[\frac{{{x}_{M}}}{{{x}_{N}}}<\frac{{{y}_{M}}}{{{y}_{N}}}\]
  done clear
  C)
  \[\frac{{{x}_{M}}}{{{x}_{N}}}>\frac{{{y}_{M}}}{{{y}_{N}}}\]       
  done clear
  D)
  \[\frac{{{x}_{M}}}{{{x}_{N}}}=\frac{{{y}_{M}}}{{{y}_{N}}}\]
  done clear
  View Answer play_arrow

• question_answer56) Aniline dissolved in dilute HCl is reacted with sodium nitrite at \[0{}^\text{o}C\]. This solution was added drop wise to a solution containing equimolar mixture of aniline and phenol in dil. HCl. The structure of the major product is :             [JEE Main 9-4-2019 Morning]
  A)
           
  done clear
  B)
  
  done clear
  C)
            
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer57) The element having greatest difference between its first and second ionization energies, is : [JEE Main 9-4-2019 Morning]
  A)
  Ca                              
  done clear
  B)
  K
  done clear
  C)
  Ba                               
  done clear
  D)
  Sc
  done clear
  View Answer play_arrow

• question_answer58) For any given series of spectral lines of atomic hydrogen, let \[\Delta \text{\bar{v}=}{{\text{\bar{v}}}_{\max }}-{{\text{\bar{v}}}_{\min }}\] be the difference in maximum and minimum frequencies in \[c{{m}^{-1}}.\]The ratio \[\Delta {{\text{\bar{v}}}_{Lyman}}/\Delta {{\text{\bar{v}}}_{Balmer}}\]is : [JEE Main 9-4-2019 Morning]
  A)
  27 : 5              
  done clear
  B)
  4 : 1
  done clear
  C)
  5 : 4                
  done clear
  D)
  9 : 4
  done clear
  View Answer play_arrow

• question_answer59) The mojor product of the following reaction is : [JEE Main 9-4-2019 Morning]
  A)
  \[C{{H}_{3}}CD(Cl)CHD(I)\]         
  done clear
  B)
  \[C{{H}_{3}}C{{D}_{2}}CH(Cl)(I)\]
  done clear
  C)
  \[C{{H}_{3}}CD(I)CHD(Cl)\]
  done clear
  D)
    \[C{{H}_{3}}C(I)(Cl)CH{{D}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer60) Match the catalysts (Column I) with products (Column II).

  Column I	Column II
  [A]\[{{V}_{2}}{{O}_{5}}\]	(i) Polyethylene
  [B]\[TiC{{l}_{4}}/Al{{(Me)}_{3}}\]	(ii) ethanol
  [C]\[PdC{{l}_{2}}\]	(iii)\[{{H}_{2}}S{{O}_{4}}\]
  [D] Iron Oxide	(iv)\[N{{H}_{3}}\]

              [JEE Main 9-4-2019 Morning]
  A)
  \[(A)\text{-}\left( \text{ii} \right)\text{; }\left( \text{B} \right)\text{-}\left( \text{iii} \right)\text{; }\left( \text{C} \right)\text{-}\left( \text{i} \right)\text{; }\left( \text{D} \right)\text{-}\left( \text{iv} \right)\]
  done clear
  B)
  \[\left( \text{A} \right)\text{-}\left( \text{iii} \right)\text{; }\left( \text{B} \right)\text{-}\left( \text{i} \right)\text{; }\left( \text{C} \right)\text{-}\left( \text{ii} \right)\text{; }\left( \text{D} \right)\text{-}\left( \text{iv} \right)\]
  done clear
  C)
  \[\left( \text{A} \right)\text{-}\left( \text{iii} \right)\text{; }\left( \text{B} \right)\text{-}\left( \text{iv} \right)\text{; }\left( \text{C} \right)\text{-}\left( \text{i} \right)\text{; }\left( \text{D} \right)\text{-}\left( \text{ii} \right)\]
  done clear
  D)
  \[\left( \text{A} \right)\text{-}\left( \text{iv} \right)\text{; }\left( \text{B} \right)\text{-}\left( \text{iii} \right)\text{; }\left( \text{C} \right)\text{-}\left( \text{ii} \right)\text{; }\left( \text{D} \right)\text{-}\left( \text{i} \right)\]
  done clear
  View Answer play_arrow

• question_answer61) Let \[\vec{\alpha }=3\hat{i}+\hat{j}\]and\[\vec{\beta }=2\hat{i}-\hat{j}+3\hat{k}.\]If\[\vec{\beta }={{\vec{\beta }}_{1}}-{{\vec{\beta }}_{2}},\]where \[{{\vec{\beta }}_{1}}\] is parallel to \[\vec{\alpha }\] and \[{{\vec{\beta }}_{2}}\] is perpendicular to \[\vec{\alpha },\]then \[{{\vec{\beta }}_{1}}\times {{\vec{\beta }}_{2}}\]is equal to:- [JEE Main 9-4-2019 Morning]
  A)
  \[-3\hat{i}+9\hat{j}+5\hat{k}\]                   
  done clear
  B)
  \[3\hat{i}-9\hat{j}-5\hat{k}\]
  done clear
  C)
  \[\frac{1}{2}\left( -3\hat{i}+9\hat{j}+5\hat{k} \right)\]      
  done clear
  D)
  \[\frac{1}{2}\left( 3\hat{i}-9\hat{j}+5\hat{k} \right)\]
  done clear
  View Answer play_arrow

• question_answer62) For any two statements p and q, the negation of the expression \[p\vee (\tilde{\ }p\wedge q)\]is             [JEE Main 9-4-2019 Morning]
  A)
  \[p\wedge q\]               
  done clear
  B)
  \[p\leftrightarrow q\]
  done clear
  C)
  \[\tilde{\ }p\vee q\tilde{\ }q\]              
  done clear
  D)
  \[\tilde{\ }p\wedge \tilde{\ }q\]
  done clear
  View Answer play_arrow

• question_answer63) The value of\[\int\limits_{0}^{\pi /2}{\frac{{{\sin }^{3}}x}{\sin x+\cos x}}dx\]is [JEE Main 9-4-2019 Morning]
  A)
  \[\frac{\pi -2}{4}\]                 
  done clear
  B)
  \[\frac{\pi -2}{8}\]
  done clear
  C)
  \[\frac{\pi -1}{4}\]     
  done clear
  D)
  \[\frac{\pi -1}{2}\]
  done clear
  View Answer play_arrow

• question_answer64) If \[\left( x \right)\]is a non-zero polynomial of degree four, having local extreme points at \[x=1,0,1;\]then the set \[S=\]\[\{x\in R:\left( x \right)=\left( 0 \right)\}\] Contains exactly :             [JEE Main 9-4-2019 Morning]
  A)
  four irrational numbers.
  done clear
  B)
  two irrational and one rational number.
  done clear
  C)
   four rational numbers.
  done clear
  D)
  two irrational and two rational numbers.
  done clear
  View Answer play_arrow

• question_answer65) If the standard deviation of the numbers -1, 0, 1, k is \[\sqrt{5}\]where \[k>0,\]then k is equal to [JEE Main 9-4-2019 Morning]
  A)
  \[2\sqrt{\frac{10}{3}}\]                     
  done clear
  B)
  \[2\sqrt{6}\]
  done clear
  C)
  \[4\sqrt{\frac{5}{3}}\]                       
  done clear
  D)
  \[\sqrt{6}\]
  done clear
  View Answer play_arrow

• question_answer66) All the points in the set \[S=\left\{ \frac{\alpha +i}{\alpha -i}:\alpha \in R \right\}\left( i=\sqrt{-1} \right)lie\]on             [JEE Main 9-4-2019 Morning]
  A)
  circle whose radius is 1.
  done clear
  B)
  straight line whose slope is 1.
  done clear
  C)
  straight line whose slope is -1
  done clear
  D)
  circle whose radius is \[\sqrt{2}\].
  done clear
  View Answer play_arrow

• question_answer67) Let S be the set of all values of x for which the tangent to the curve \[y=f(x)={{x}^{3}}-{{x}^{2}}-2x\]at \[\left( x,y \right)\]is parallel to the line segment joining the points \[\left( 1,\left( 1 \right) \right)\]and \[\left( 1,\left( 1 \right) \right),\]then S is equal to : [JEE Main 9-4-2019 Morning]
  A)
  \[\left\{ -\frac{1}{3},-1 \right\}\]                     
  done clear
  B)
  \[\left\{ \frac{1}{3},-1 \right\}\]
  done clear
  C)
  \[\left\{ -\frac{1}{3},1 \right\}\]
  done clear
  D)
  \[\left\{ \frac{1}{3},1 \right\}\]
  done clear
  View Answer play_arrow

• question_answer68) Let \[f(x)=15-\left| x-10 \right|;x\in R.\]Then the set of all values of x, at which the function, \[g\left( x \right)=\left( \left( x \right) \right)\] is not differentiable, is : [JEE Main 9-4-2019 Morning]
  A)
  {5, 10, 15, 20}           
  done clear
  B)
  {10, 15}
  done clear
  C)
  {5, 10, 15}
  done clear
  D)
  {10}
  done clear
  View Answer play_arrow

• question_answer69) Let \[p,q\in R.\]If \[2-\sqrt{3}\] is a root of the quadratic equation, \[{{x}^{2}}+px+q=0,\] then : [JEE Main 9-4-2019 Morning]
  A)
  \[{{q}^{2}}+4p+14=0\]   
  done clear
  B)
  \[{{p}^{2}}4q12=0\]
  done clear
  C)
  \[{{q}^{2}}4p16=0\]          
  done clear
  D)
  \[{{p}^{2}}4q+12=0\]
  done clear
  View Answer play_arrow

• question_answer70) Slope of a line passing through \[P(2,3)\]and intersecting the line, \[x+y=7\]at a distance of 4 units from P, is [JEE Main 9-4-2019 Morning]
  A)
  \[\frac{\sqrt{5}-1}{\sqrt{5}+1}\]                  
  done clear
  B)
  \[\frac{1-\sqrt{5}}{1+\sqrt{5}}\]
  done clear
  C)
  \[\frac{1-\sqrt{7}}{1+\sqrt{7}}\]
  done clear
  D)
  \[\frac{\sqrt{7}-1}{\sqrt{7}+1}\]
  done clear
  View Answer play_arrow

• question_answer71) A committee of 11 members is to be formed from 8 males and 5 females. If m is the number of ways the committee is formed with at least 6 males and n is the number of ways the committee is formed with at least 3 females, then : [JEE Main 9-4-2019 Morning]
  A)
  \[m=n=78\]   
  done clear
  B)
  \[n=m8\]
  done clear
  C)
  \[m+n=68\]               
  done clear
  D)
  \[m=n=68\]
  done clear
  View Answer play_arrow

• question_answer72) If the fourth term in the binomial expansion of\[{{\left( \frac{2}{x}+{{x}^{{{\log }_{8}}x}} \right)}^{6}}(x>0)\]is \[20\times {{8}^{7}},\]then a value of  x is :             [JEE Main 9-4-2019 Morning]
  A)
  \[8\]                             
  done clear
  B)
  \[{{8}^{2}}\]
  done clear
  C)
  \[{{8}^{-2}}\]                                  
  done clear
  D)
  \[{{8}^{3}}\]
  done clear
  View Answer play_arrow

• question_answer73) The solution of the differential equation \[x\frac{dy}{dx}+2y={{x}^{2}}\]\[(x\ne 0)\]with y(1) = 1, is                         [JEE Main 9-4-2019 Morning]
  A)
  \[y=\frac{{{x}^{3}}}{5}+\frac{1}{5{{x}^{2}}}\]                   
  done clear
  B)
  \[y=\frac{4}{5}{{x}^{3}}+\frac{1}{5{{x}^{2}}}\]
  done clear
  C)
  \[y=\frac{3}{4}{{x}^{2}}+\frac{1}{4{{x}^{2}}}\]     
  done clear
  D)
  \[y=\frac{{{x}^{2}}}{4}+\frac{3}{4{{x}^{2}}}\]
  done clear
  View Answer play_arrow

• question_answer74) A plane passing through the points (0, -1, 0) and (0, 0, 1) and making an angle \[\frac{\pi }{4}\]with the plane \[yz+5=0,\]also passes through the point             [JEE Main 9-4-2019 Morning]
  A)
  \[\left( -\sqrt{2},1,-4 \right)\]               
  done clear
  B)
  \[\left( \sqrt{2},1,4 \right)\]
  done clear
  C)
  \[\left( \sqrt{2},-1,4 \right)\]                 
  done clear
  D)
  \[\left( -\sqrt{2},-1,-4 \right)\]
  done clear
  View Answer play_arrow

• question_answer75) The integral \[\int_{{}}^{{}}{{{\sec }^{2/3}}}x\,\cos \,e{{c}^{4/3}}x\,dx\]is equal to (Hence C is a constant of integration) [JEE Main 9-4-2019 Morning]
  A)
  \[3{{\tan }^{-1/3}}x+C\]    
  done clear
  B)
  \[-\frac{3}{4}{{\tan }^{-4/3}}x+C\]
  done clear
  C)
  \[-3{{\cot }^{-1/3}}x+C\]   
  done clear
  D)
  \[-3{{\tan }^{-1/3}}x+C\]
  done clear
  View Answer play_arrow

• question_answer76) Let the sum of the first n terms of a non constant \[A.P.,{{a}_{1}},{{a}_{2}},{{a}_{3}},\]..... be \[50n+\frac{n(n-7)}{2}A,\] where A is a constant. If d is the common difference of this A.P., then the ordered pair \[(d,{{a}_{50}})\] is equal to [JEE Main 9-4-2019 Morning]
  A)
  \[\left( A,50+46A \right)\]
  done clear
  B)
  \[\left( A,50+45A \right)\]
  done clear
  C)
  \[\left( 50,50+46A \right)\]      
  done clear
  D)
  \[\left( 50,50+45A \right)\]
  done clear
  View Answer play_arrow

• question_answer77) The area (in sq. units) of the region \[A=\{(x,y):{{x}^{2}}\le y\le x+2\}\] is                         [JEE Main 9-4-2019 Morning]
  A)
  \[\frac{10}{3}\]                                  
  done clear
  B)
  \[\frac{9}{2}\]
  done clear
  C)
  \[\frac{31}{6}\]                                  
  done clear
  D)
  \[\frac{13}{6}\]
  done clear
  View Answer play_arrow

• question_answer78) If the line,\[\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-2}{4}\]meets the plane, \[x+2y+3z=15\]at a point P, then the distance of P from the origin is [JEE Main 9-4-2019 Morning]
  A)
  \[\frac{9}{2}\]
  done clear
  B)
  \[2\sqrt{5}\]
  done clear
  C)
  \[\frac{\sqrt{5}}{2}\]                         
  done clear
  D)
  \[\frac{7}{2}\]
  done clear
  View Answer play_arrow

• question_answer79) Let\[\sum\limits_{k=1}^{10}{f(a+k)=16}\left( {{2}^{10}}-1 \right),\] where the function ? satisfies \[\left( x+y \right)=\left( x \right)\left( y \right)\]for all natural numbers x, y and ?(1) = 2. then the natural number 'a' is [JEE Main 9-4-2019 Morning]
  A)
  4                                 
  done clear
  B)
  3
  done clear
  C)
  16                               
  done clear
  D)
  2
  done clear
  View Answer play_arrow

• question_answer80) Let\[\alpha \]and \[\beta \]be the roots of the equation \[{{x}^{2}}+x+1=0.\] Then for \[y\ne 0\]in R, \[\left| \begin{matrix}    y+1 & \alpha  & \beta   \\    \alpha  & y+\beta  & 1  \\    \beta  & 1 & y+\alpha   \\ \end{matrix} \right|\]is equal to             [JEE Main 9-4-2019 Morning]
  A)
  \[{{y}^{3}}\]           
  done clear
  B)
  \[{{y}^{3}}-1\]
  done clear
  C)
  \[y({{y}^{2}}-1)\]                
  done clear
  D)
  \[y({{y}^{2}}-3)\]
  done clear
  View Answer play_arrow

• question_answer81) If the tangent to the curve, \[y={{x}^{3}}+axb\] at the point (1, -5) is perpendicular to the line, \[x+y+4=0,\]then which one of the following points lies on the curve? [JEE Main 9-4-2019 Morning]
  A)
  (-2, 2)             
  done clear
  B)
  (2, -2)
  done clear
  C)
  (2, -1)             
  done clear
  D)
  (-2, 1)
  done clear
  View Answer play_arrow

• question_answer82) Four persons can hit a target correctly with Probabilities \[\frac{1}{2},\frac{1}{3},\frac{1}{4}\] and \[\frac{1}{8}\] respectively. if all hit at the target independently, then the probability that the target would be hit, is             [JEE Main 9-4-2019 Morning]
  A)
  \[\frac{25}{192}\]                              
  done clear
  B)
  \[\frac{1}{192}\]
  done clear
  C)
  \[\frac{25}{32}\]        
  done clear
  D)
  \[\frac{7}{32}\]
  done clear
  View Answer play_arrow

• question_answer83) If the line \[y=mx+7\sqrt{3}\]is normal to the hyperbola \[\frac{{{x}^{2}}}{24}-\frac{{{y}^{2}}}{18}=1,\]then a value of m is [JEE Main 9-4-2019 Morning]
  A)
  \[\frac{\sqrt{5}}{2}\]                         
  done clear
  B)
  \[\frac{3}{\sqrt{5}}\]
  done clear
  C)
  \[\frac{2}{\sqrt{5}}\]             
  done clear
  D)
  \[\frac{\sqrt{15}}{2}\]
  done clear
  View Answer play_arrow

• question_answer84) Let \[S=\{\theta \in [-2\pi ,2\pi ]:2co{{s}^{2}}\theta +3sin\theta =0\}.\] Then the sum of the elements of S is                                                             [JEE Main 9-4-2019 Morning]
  A)
  \[\frac{13\pi }{6}\]                             
  done clear
  B)
  \[\pi \]
  done clear
  C)
  \[2\pi \]
  done clear
  D)
  \[\frac{5\pi }{3}\]
  done clear
  View Answer play_arrow

• question_answer85) The value of \[co{{s}^{2}}10{}^\circ cos10{}^\circ cos50{}^\circ +co{{s}^{2}}50{}^\circ \]is [JEE Main 9-4-2019 Morning]
  A)
  \[\frac{3}{2}(1+cos20{}^\circ )\]   
  done clear
  B)
  \[\frac{3}{4}\]
  done clear
  C)
  \[\frac{3}{4}+\cos {{20}^{o}}\]               
  done clear
  D)
  \[\frac{3}{2}\]
  done clear
  View Answer play_arrow

• question_answer86) If a tangent to the circle\[{{x}^{2}}+{{y}^{2}}=1\]intersects the coordinate axes at distinct points P and Q, then the locus of the mid-point of PQ is [JEE Main 9-4-2019 Morning]
  A)
  \[{{x}^{2}}+{{y}^{2}}2xy=0\]
  done clear
  B)
  \[{{x}^{2}}+{{y}^{2}}16{{x}^{2}}{{y}^{2}}=0\]
  done clear
  C)
  \[{{x}^{2}}+{{y}^{2}}4{{x}^{2}}{{y}^{2}}=0\]
  done clear
  D)
  \[{{x}^{2}}+{{y}^{2}}2{{x}^{2}}{{y}^{2}}=0\]
  done clear
  View Answer play_arrow

• question_answer87) If the function ? defined on\[\left( \frac{\pi }{6},\frac{\pi }{3} \right)\]by\[f(x)=\left\{ \begin{matrix}    \frac{\sqrt{2}\cos x-1}{\cot x-1}, & x\ne \frac{\pi }{4}  \\    k, & x=\frac{\pi }{4}  \\ \end{matrix} \right.\] is continuous, then k is equal to [JEE Main 9-4-2019 Morning]
  A)
  \[\frac{1}{2}\]
  done clear
  B)
  \[1\]
  done clear
  C)
  \[\frac{1}{\sqrt{2}}\]                         
  done clear
  D)
  \[2\]
  done clear
  View Answer play_arrow

• question_answer88) If\[\left[ \begin{matrix}    1 & 1  \\    0 & 1  \\ \end{matrix} \right].\left[ \begin{matrix}    1 & 2  \\    0 & 1  \\ \end{matrix} \right].\left[ \begin{matrix}    1 & 3  \\    0 & 1  \\ \end{matrix} \right]......\left[ \begin{matrix}    1 & n-1  \\    0 & 1  \\ \end{matrix} \right]=\left[ \begin{matrix}    1 & 78  \\    0 & 1  \\ \end{matrix} \right],\]then the inverse of\[\left[ \begin{matrix}    1 & n  \\    0 & 1  \\ \end{matrix} \right]\]is [JEE Main 9-4-2019 Morning]
  A)
  \[\left[ \begin{matrix}    1 & -13  \\    0 & 1  \\ \end{matrix} \right]\]              
  done clear
  B)
  \[\left[ \begin{matrix}    1 & 0  \\    12 & 1  \\ \end{matrix} \right]\]
  done clear
  C)
  \[\left[ \begin{matrix}    1 & -12  \\    0 & 1  \\ \end{matrix} \right]\]              
  done clear
  D)
  \[\left[ \begin{matrix}    1 & 0  \\    13 & 1  \\ \end{matrix} \right]\]
  done clear
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• question_answer89) If one end of a focal chord of the parabola, \[{{y}^{2}}=16x\] is at (1, 4), then the length of this focal chord is [JEE Main 9-4-2019 Morning]
  A)
  25       
  done clear
  B)
  24
  done clear
  C)
  20                               
  done clear
  D)
  22
  done clear
  View Answer play_arrow

• question_answer90) If the function \[f:R-\{1,-1\}\to A\]defined by \[f(x)=\frac{{{x}^{2}}}{1-{{x}^{2}}},\]is subjective, then A is equal to [JEE Main 9-4-2019 Morning]
  A)
  \[R-[-1,0)\]      
  done clear
  B)
  \[R-(-1,0)\]
  done clear
  C)
  \[R-\{-1\}\]                  
  done clear
  D)
  \[[0,\infty )\]
  done clear
  View Answer play_arrow