question_answer1) A simple pendulum is made of a body which a hollow sphere is containing mercury suspended by means of a wire. If a little mercury is drained off, the period of pendulum will
A) remain unchanged done clear
B) increase done clear
C) decrease done clear
D) become erratic done clear
View Answer play_arrowquestion_answer2) Two balloons are filled, one with pure \[He\] gas and the other by air, respectively. If the pressure and temperature of these balloons are same then the number of molecules per unit volume is
A) more in the He filled balloon done clear
B) same in both balloons done clear
C) more in air filled balloon done clear
D) in the ratio of\[1:4\] done clear
View Answer play_arrowquestion_answer3) Which of the following logic gates is a universal gate?
A) \[OR\] done clear
B) \[NOT\] done clear
C) \[AND\] done clear
D) \[NAND\] done clear
View Answer play_arrowquestion_answer4) We consider a thermodynamic system. If \[\Delta U\] represents the increase in its internal energy and \[W\] the work done by the system, which of the following statements is true?
A) \[\Delta U=-W\] in an adiabatic process done clear
B) \[\Delta U=W\] in an isothermal process done clear
C) \[\Delta U=-W\] in an isothermal process done clear
D) \[\Delta U=W\] in an adiabatic process done clear
View Answer play_arrowquestion_answer5) Aerofils are so designed that the speed of air
A) on top side is more than on lower side done clear
B) on top side is less than on lower side done clear
C) is same on both sides done clear
D) is turbulent done clear
View Answer play_arrowquestion_answer6) According to Bernoulli's equation\[\frac{P}{\rho g}+h+\frac{1}{2}\frac{{{v}^{2}}}{g}=\]constant The terms \[A,\,\,B\] and \[C\] are generally called respectively:
A) gravitational head, pressure head and velocity head done clear
B) gravity, gravitational head and velocity head done clear
C) pressure head, gravitational head and velocity head done clear
D) gravity, pressure and velocity head done clear
View Answer play_arrowquestion_answer7) The time of reverberation of a room \[A\] is one second. What will be the time (in seconds) of reverberation of a room, having all the dimensions double of those of room\[A?\]
A) \[2\] done clear
B) \[4\] done clear
C) \[\frac{1}{2}\] done clear
D) \[1\] done clear
View Answer play_arrowquestion_answer8) For sky wave propagation of \[10\,\,MHz\] signal, what should be the minimum electron density in ionosphere?
A) \[\tilde{\ }1.2\times {{10}^{12}}{{m}^{-3}}\] done clear
B) \[\tilde{\ }{{10}^{6}}{{m}^{-3}}\] done clear
C) \[\tilde{\ }{{10}^{14}}{{m}^{-3}}\] done clear
D) \[\tilde{\ }{{10}^{22}}{{m}^{-3}}\] done clear
View Answer play_arrowquestion_answer9) If the mass of moon is \[\frac{M}{81}\], where \[M\] is the mass of earth, find the distance of the point from the moon, where gravitational field due to earth and moon cancel each other. Given that distance between earth and moon is\[60R\], where \[R\] is the radius of earth.
A) \[6R\] done clear
B) \[8R\] done clear
C) \[2R\] done clear
D) \[4R\] done clear
View Answer play_arrowquestion_answer10) \[27\]small drops each having charge \[q\] and radius \[r\] coalesce to from big drop. How many times charge and capacitance will become?
A) \[3,\,\,27\] done clear
B) \[27,\,\,3\] done clear
C) \[27,\,\,27\] done clear
D) \[3,\,\,3\] done clear
View Answer play_arrowquestion_answer11) The magnetic moment has dimensions of
A) \[[LA]\] done clear
B) \[[{{L}^{2}}A]\] done clear
C) \[[L{{T}^{-1}}A]\] done clear
D) \[[{{L}^{2}}{{T}^{-1}}A]\] done clear
View Answer play_arrowquestion_answer12) Which of the following circular rods, (given radius \[r\] and length\[l)\] each made of the same material and whose ends are maintained at the same temperature will conduct most heat?
A) \[r=2{{r}_{0}};\,\,l=2{{l}_{0}}\] done clear
B) \[r=2{{r}_{0}};\,\,l={{l}_{0}}\] done clear
C) \[r={{r}_{0}};\,\,l={{l}_{0}}\] done clear
D) \[r={{r}_{0}};\,\,l=2{{l}_{0}}\] done clear
View Answer play_arrowquestion_answer13) For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is
A) \[2\] done clear
B) \[\frac{1}{2}\] done clear
C) \[\frac{1}{\sqrt{2}}\] done clear
D) \[\sqrt{2}\] done clear
View Answer play_arrowquestion_answer14) The current in the given circuit is
A) \[0.3\,\,A\] done clear
B) \[0.1\,\,A\] done clear
C) \[0.4\,\,A\] done clear
D) \[0.2\,\,A\] done clear
View Answer play_arrowquestion_answer15) Interference was observed in an interference chamber when air was present. Now, the chamber is evacuated and if the same light is used, a careful observation will show
A) no interference done clear
B) interference with bright band done clear
C) interference with dark bands done clear
D) interference in which breadth of the fringe will be slightly increased done clear
View Answer play_arrowquestion_answer16) When a charged particle moving with velocity \[\overset{\to }{\mathop{\mathbf{v}}}\,\]is subjected to a magnetic field of induction\[\overset{\to }{\mathop{\mathbf{B}}}\,\], the force on it is non-zero. This implies that
A) angle between \[\overset{\to }{\mathop{\mathbf{v}}}\,\] and \[\overset{\to }{\mathop{\mathbf{B}}}\,\] is necessarily\[{{90}^{o}}\] done clear
B) angle between \[\overset{\to }{\mathop{\mathbf{v}}}\,\] and \[\overset{\to }{\mathop{\mathbf{B}}}\,\] can have any value other than\[{{90}^{o}}\] done clear
C) angle between \[\overset{\to }{\mathop{\mathbf{v}}}\,\] and \[\overset{\to }{\mathop{\mathbf{B}}}\,\] can have any value other than zero and\[{{180}^{o}}\] done clear
D) angle between \[\overset{\to }{\mathop{\mathbf{v}}}\,\] and \[\overset{\to }{\mathop{\mathbf{B}}}\,\] is either zero or \[{{180}^{o}}\] done clear
View Answer play_arrowquestion_answer17) A particle moves along a straight line\[OX\]. At a time \[t\] (in seconds) the distance \[x\] (in metres) of the particle from \[O\] is given by \[x=40+12t-{{t}^{3}}\] How long would the particle travel before coming to rest?
A) \[24\,\,m\] done clear
B) \[40\,\,m\] done clear
C) \[56\,\,m\] done clear
D) \[16\,\,m\] done clear
View Answer play_arrowquestion_answer18) Which one of the following statements is true?
A) Both light and sound waves in air are transverse done clear
B) The sound waves in air are longitudinal while the light waves are transverse done clear
C) Both light and sound waves in air are longitudinal done clear
D) Both light and sound waves can travel in vacuum done clear
View Answer play_arrowquestion_answer19) When power is drawn from the secondary coil of the transformer, the dynamic resistance
A) increases done clear
B) decreases done clear
C) remains unchanged done clear
D) changes erratically done clear
View Answer play_arrowquestion_answer20) A reference frame attached to the earth
A) is an inertial frame by definition done clear
B) cannot be an inertial frame because earth is revolving round the sun done clear
C) is an inertial frame because Newton's laws are applicable done clear
D) is an inertial frame because the earth is rotating about its own axis done clear
View Answer play_arrowquestion_answer21) Pressure of an ideal gas is increased by keeping temperature constant. What is the effect on kinetic energy of molecules?
A) Increase done clear
B) Decrease done clear
C) No change done clear
D) Can't be determined done clear
View Answer play_arrowquestion_answer22) What maximum frequency can be reflected from ionosphere?
A) \[5\,\,MHz\] done clear
B) \[6\,\,GHz\] done clear
C) \[5\,\,kHz\] done clear
D) \[500\,\,MHz\] done clear
View Answer play_arrowquestion_answer23) A telescope has focal length of objective and eyepiece as \[200\,\,cm\] and \[5\,\,cm\] respectively. What is magnification of telescope?
A) \[40\] done clear
B) \[80\] done clear
C) \[50\] done clear
D) \[0.01\] done clear
View Answer play_arrowquestion_answer24) A small disc of radius 2 cm is cut from a disc of radius 6 cm. If the distance between their centres is 3.2 cm, what is the shift in the centre of mass of the disc?
A) \[40\] done clear
B) \[80\] done clear
C) \[50\] done clear
D) \[0.01\] done clear
View Answer play_arrowquestion_answer25) Which of the following is not a process involved in fabrication of\[IC?\]
A) Polymerization done clear
B) Diffusion done clear
C) Photolithography done clear
D) Metallisation done clear
View Answer play_arrowquestion_answer26) Permanent magnet has properties retentively and coercively respectively
A) high-high done clear
B) low-low done clear
C) low-high done clear
D) high-low done clear
View Answer play_arrowquestion_answer27) Hydrogen bomb is based upon
A) fission done clear
B) fusion done clear
C) chemical reaction done clear
D) transmutation done clear
View Answer play_arrowquestion_answer28) What is not true for equipotential surface for uniform electric field?
A) Equipotential surface is flat done clear
B) Equipotential surface is spherical done clear
C) Electric lines are perpendicular to equipotential surface done clear
D) Work done is zero done clear
View Answer play_arrowquestion_answer29) A closed organ pipe of length 20 cm is sounded with tuning fork in resonance. What is the frequency of tuning fork?\[(v=332\,\,m/s)\]
A) \[300\,\,Hz\] done clear
B) \[350\,\,Hz\] done clear
C) \[375\,\,Hz\] done clear
D) \[415\,\,Hz\] done clear
View Answer play_arrowquestion_answer30) Two identical springs of spring constant \[k\] are connected in series and parallel as shown in figure. A mass \[M\] is suspended from them. The ratio of their frequencies of vertical oscillation will be
A) \[2:1\] done clear
B) \[1:2\] done clear
C) \[4:1\] done clear
D) \[1:4\] done clear
View Answer play_arrowquestion_answer31) The area of the acceleration-displacement curve of a body gives
A) impulse done clear
B) change in momentum per unit mass done clear
C) change in \[KE\] per unit mass done clear
D) total change in energy done clear
View Answer play_arrowquestion_answer32) The speed of earth's rotation about its axis is\[\omega \]. Its speed is increased to \[x\] times to make the effective acceleration due to gravity equal to zero at the equator. Then \[x\] is
A) \[1\] done clear
B) \[8.5\] done clear
C) \[17\] done clear
D) \[34\] done clear
View Answer play_arrowquestion_answer33) Hard \[X-\]rays for the study of fractures in bones should have a minimum wavelength of\[{{10}^{-11}}m\]. The accelerating voltage for electrons in X-ray machine should be
A) \[<124\,\,kV\] done clear
B) \[>124\,\,kV\] done clear
C) between\[60\,\,kV\]and\[70\,\,kV\] done clear
D) \[=100\,\,kV\] done clear
View Answer play_arrowquestion_answer34) In photoelectric effect, the electrons are ejected from metals if the incident light has a certain minimum
A) wavelength done clear
B) frequency done clear
C) amplitude done clear
D) angle of incidence done clear
View Answer play_arrowquestion_answer35) A capacitor having capacitance with air, is filled with two dielectrics as shown. How many times capacitance will increase?
A) \[12\] done clear
B) \[6\] done clear
C) \[8/3\] done clear
D) \[3\] done clear
View Answer play_arrowquestion_answer36) A leaf which contains only green pigments, is illuminated by a laser light of wavelength\[0.6328\,\,\mu m\]. It would appear to be
A) brown done clear
B) black done clear
C) red done clear
D) green done clear
View Answer play_arrowquestion_answer37) The operation of a nuclear reactor is said to be critical, if the multiplication factor \[(k)\] has a value
A) \[1\] done clear
B) \[1.5\] done clear
C) \[2.1\] done clear
D) \[2.5\] done clear
View Answer play_arrowquestion_answer38) A galvanometer having a resistance of \[8\Omega \] is shunted by a wire of resistance\[2\Omega \]. If the total current is \[1\,\,A\], the part of it passing through the shunt will be
A) \[0.25\,\,A\] done clear
B) \[0.8\,\,A\] done clear
C) \[0.2\,\,A\] done clear
D) \[0.5\,\,A\] done clear
View Answer play_arrowquestion_answer39) Flash light equipped with a new set of batteries, produces bright white light. As the batteries wear out
A) the light intensity gets reduced with no change in its colour done clear
B) light colour changes first to yellow and then red with no change in intensity done clear
C) it stops working suddenly while giving white light done clear
D) colour changes to red and also intensity gets reduced done clear
View Answer play_arrowquestion_answer40) If alpha, beta and gamma rays carry same momentum, which has the longest wavelength?
A) Alpha rays done clear
B) Beta rays done clear
C) Gamma rays done clear
D) None, all have same wavelength done clear
View Answer play_arrowquestion_answer41) An amplifier has a voltage gain\[{{A}_{v}}=1000\]. The voltage gain in \[dB\] is
A) \[30\,\,dB\] done clear
B) \[60\,\,dB\] done clear
C) \[3\,\,dB\] done clear
D) \[20\,\,dB\] done clear
View Answer play_arrowquestion_answer42) When you make ice cubes, the entropy of water
A) does not change done clear
B) increases done clear
C) decreases done clear
D) may either increase or decrease depending on the process used done clear
View Answer play_arrowquestion_answer43) Half-lives of two radioactive substances \[A\] and \[B\] are respectively \[20\min \] and\[40\min \]. Initially the samples of \[A\] and \[B\] have equal number of nuclei. After \[80\min \] the ratio of remaining number of \[A\] and \[B\] nuclei is
A) 1 : 16 done clear
B) 4 : 1 done clear
C) 1 : 4 done clear
D) 1 : 1 done clear
View Answer play_arrowquestion_answer44) If equation of a sound wave is\[y=0.0015\sin (62.8x+314t)\] then its wavelength will be
A) \[0.1\,\,unit\] done clear
B) \[2\,\,unit\] done clear
C) \[0.3\,\,unit\] done clear
D) \[0.2\,\,unit\] done clear
View Answer play_arrowquestion_answer45) A projectile is thrown in the upward direction making an angle of \[{{60}^{o}}\] with the horizontal direction with a velocity of\[147\,\,m{{s}^{-1}}\]. Then the time after which its inclination with the horizontal is \[{{45}^{o}}\], is
A) \[15\,\,s\] done clear
B) \[10.98\,\,s\] done clear
C) \[5.49\,\,s\] done clear
D) \[2.745\,\,s\] done clear
View Answer play_arrowquestion_answer46) A motor cycle is going on an over bridge of radius\[R\]. The driver maintains a constant speed. As the motor cycle is ascending on the overbridge, the normal force on it
A) increases done clear
B) decreases done clear
C) remains the same done clear
D) fluctuates erratically done clear
View Answer play_arrowquestion_answer47) If we throw a body upwards with velocity of\[4\,\,m/s\], at what height does its kinetic energy reduce to half of the initial value? (Take\[g=10\,\,m{{s}^{-2}})\]
A) \[4\,\,m\] done clear
B) \[2\,\,m\] done clear
C) \[1\,\,m\] done clear
D) \[0.4\,\,m\] done clear
View Answer play_arrowquestion_answer48) Two glass plates are separated by water. If surface tension of water is \[75\] \[dynes/cm\] and area of each plate wetted by water is \[8\,\,c{{m}^{2}}\] and the distance between the plates is \[0.12\,\,mm\], then the force applied to separate the two plates is
A) \[{{10}^{2}}dyne\] done clear
B) \[{{10}^{4}}dyne\] done clear
C) \[{{10}^{5}}dyne\] done clear
D) \[{{10}^{6}}dyne\] done clear
View Answer play_arrowquestion_answer49) Which of the following is true for rays coming from infinity?
A) Two images are formed done clear
B) Continuous image is formed between focal points of upper and lower lens done clear
C) One image is formed done clear
D) None of the above done clear
View Answer play_arrowquestion_answer50) The north pole of a long horizontal bar magnet is being brought closer to a vertical conducting plane along the perpendicular direction. The direction of the induced current in the conducting plane will be
A) horizontal done clear
B) vertical done clear
C) clock wise done clear
D) anti clock wise done clear
View Answer play_arrowquestion_answer51) Calcium carbide reacts with \[{{H}_{2}}O\] to produce
A) Ethane done clear
B) methane done clear
C) ethylene done clear
D) acetylene done clear
View Answer play_arrowquestion_answer52) Propyne and propene can be distinguished by
A) \[dil.\,\,KMn{{O}_{4}}\] done clear
B) \[conc.\,\,{{H}_{2}}S{{O}_{4}}\] done clear
C) \[AgN{{O}_{3}}\] in ammonia done clear
D) \[B{{r}_{2}}\]in\[CC{{l}_{4}}\] done clear
View Answer play_arrowquestion_answer53) Oxidation number of \[Fe\] in \[F{{e}_{2}}{{O}_{3}}\] is
A) \[\frac{1}{2}\] done clear
B) \[\frac{2}{6}\] done clear
C) \[\frac{8}{3}\] done clear
D) \[\frac{3}{2}\] done clear
View Answer play_arrowquestion_answer54) Bauxite is an ore of
A) \[Al\] done clear
B) \[Ca\] done clear
C) \[Cu\] done clear
D) \[Ni\] done clear
View Answer play_arrowquestion_answer55) The best source of vitamin \[A\] is
A) beans done clear
B) pulses done clear
C) orange done clear
D) carrot done clear
View Answer play_arrowquestion_answer56) Plaster of Paris is
A) \[CaS{{O}_{4}}\cdot \frac{1}{2}{{H}_{2}}O\] done clear
B) \[CaS{{O}_{4}}\cdot 2{{H}_{2}}O\] done clear
C) \[CaS{{O}_{4}}\cdot {{H}_{2}}O\] done clear
D) \[CaS{{O}_{4}}\cdot 4{{H}_{2}}O\] done clear
View Answer play_arrowquestion_answer57) Penicillin is
A) analgesic done clear
B) antipyretic done clear
C) anti malarials done clear
D) antibiotic done clear
View Answer play_arrowquestion_answer58) The most stable compound is
A) \[LiF\] done clear
B) \[LiCl\] done clear
C) \[LiBr\] done clear
D) \[Lil\] done clear
View Answer play_arrowquestion_answer59) Heavy water is
A) \[CaS{{O}_{4}}\] done clear
B) water contain\[CaS{{O}_{4}},\,\,MgS{{O}_{4}}\] done clear
C) \[{{D}_{2}}O\] done clear
D) water contain\[CaC{{O}_{3}}\] done clear
View Answer play_arrowquestion_answer60) In the extraction of copper from its sulphide ore, the metal is formed by reduction of\[C{{u}_{2}}O\] with
A) \[FeS\] done clear
B) \[CO\] done clear
C) \[C{{u}_{2}}S\] done clear
D) \[S{{O}_{2}}\] done clear
View Answer play_arrowquestion_answer61) \[Ba{{O}_{2}}\] and ozone reacts to produce
A) \[Ba\] done clear
B) \[B{{a}_{2}}{{O}_{3}}\] done clear
C) \[BaO\] done clear
D) \[Ba{{(OH)}_{3}}\] done clear
View Answer play_arrowquestion_answer62) Heisenberg uncertainty principle can be explained as
A) \[\Delta x\ge \frac{\Delta p\times h}{4\pi }\] done clear
B) \[\Delta x\times \Delta p\ge \frac{h}{4\pi }\] done clear
C) \[\Delta x\times \Delta p\ge \frac{h}{\pi }\] done clear
D) \[\Delta p\ge \frac{\pi h}{\Delta x}\] done clear
View Answer play_arrowquestion_answer63) For decolourisarion of \[1\] mole of \[KMn{{O}_{4}}\], the moles of \[{{H}_{2}}{{O}_{2}}\] required is
A) \[\frac{1}{2}\] done clear
B) \[\frac{3}{2}\] done clear
C) \[\frac{5}{2}\] done clear
D) \[\frac{7}{2}\] done clear
View Answer play_arrowquestion_answer64) Bleaching powder is obtained by treating \[C{{l}_{2}}\] with
A) \[Ca{{(OH)}_{2}}\] done clear
B) \[CaO\] done clear
C) \[CaC{{O}_{3}}\] done clear
D) \[CaC{{l}_{2}}\] done clear
View Answer play_arrowquestion_answer65) Magnalium contains
A) \[Mg+Al\] done clear
B) \[Mg+Cu\] done clear
C) \[Mg+Fe\] done clear
D) \[Mg+Mn\] done clear
View Answer play_arrowquestion_answer66) The de-Broglie wave length of a panicle with mass \[1\,\,kg\] and velocity \[100\,\,m/s\] is
A) \[6.6\times {{10}^{-33}}m\] done clear
B) \[6.6\times {{10}^{-36}}m\] done clear
C) \[3.3\times {{10}^{33}}m\] done clear
D) \[3.3\times {{10}^{-36}}m\] done clear
View Answer play_arrowquestion_answer67) The volume of a gas measured at \[{{27}^{o}}C\] and \[1\,\,atm\] pressure is\[10\,\,L\]. To reduce the volume to \[2\,\,L\] at\[1\,\,atm\]. pressure, the temperature required is
A) \[60\,\,K\] done clear
B) \[75\,\,K\] done clear
C) \[150\,\,K\] done clear
D) \[225\,\,K\] done clear
View Answer play_arrowquestion_answer68) Isotonic solutions have
A) same vapour pressure done clear
B) same osmotic pressure done clear
C) same boiling point done clear
D) same temperature done clear
View Answer play_arrowquestion_answer69) Epsom salt is
A) \[BaS{{O}_{4}}\cdot 2{{H}_{2}}O\] done clear
B) \[CaS{{O}_{4}}\cdot {{H}_{2}}O\] done clear
C) \[MgS{{O}_{4}}\cdot 2{{H}_{2}}O\] done clear
D) \[MgS{{O}_{4}}\cdot 7{{H}_{2}}O\] done clear
View Answer play_arrowquestion_answer70) Paracetamol is an
A) analgesic done clear
B) antipyretic done clear
C) both [a] and [b] done clear
D) none of the above done clear
View Answer play_arrowquestion_answer71) The number of moles of oxygen obtained by the electrolytic decomposition of 108 g water is
A) \[2.5\] done clear
B) \[3\] done clear
C) \[5\] done clear
D) \[7.5\] done clear
View Answer play_arrowquestion_answer72) The change in entropy for the fusion of \[1\] mole of ice is \[[mp\] of ice \[=273\,\,K\], molar enthalpy of fusion for ice\[=6.0\,\,kJ\,\,mo{{l}^{-1}}]\]
A) \[11.73\,\,J{{K}^{-1}}mo{{l}^{-1}}\] done clear
B) \[18.84\,\,J{{K}^{-1}}mo{{l}^{-1}}\] done clear
C) \[21.97\,\,J{{K}^{-1}}mo{{l}^{-1}}\] done clear
D) \[24.47\,\,J{{K}^{-1}}mo{{l}^{-1}}\] done clear
View Answer play_arrowquestion_answer73) Which does not give a precipitate with \[AgN{{O}_{3}}\] solution?
A) \[[Co{{(N{{H}_{3}})}_{6}}]C{{l}_{3}}\] done clear
B) \[[Co{{(N{{H}_{3}})}_{5}}Cl]C{{l}_{2}}\] done clear
C) \[[Co{{(N{{H}_{3}})}_{4}}C{{l}_{2}}]Cl\] done clear
D) \[[Co{{(N{{H}_{3}})}_{3}}C{{l}_{3}}]\] done clear
View Answer play_arrowquestion_answer74) Total volume of atoms present in a face centred cubic unit cell of a metal is \[(r\] is atomic radius)
A) \[\frac{16}{3}\pi {{r}^{3}}\] done clear
B) \[\frac{20}{3}\pi {{r}^{3}}\] done clear
C) \[\frac{24}{3}\pi {{r}^{3}}\] done clear
D) \[\frac{12}{3}\pi {{r}^{3}}\] done clear
View Answer play_arrowquestion_answer75) Pure silicon doped with phosphorus is a
A) metallic conductor done clear
B) insulator done clear
C) \[n-\]type semiconductor done clear
D) \[p-\]type semiconductor done clear
View Answer play_arrowquestion_answer76) Which of the following is a biodegradable polymer?
A) Cellulose done clear
B) Polythene done clear
C) Polyvinyl chloride done clear
D) Nylon\[6\] done clear
View Answer play_arrowquestion_answer77) What is \[X\] in the following nuclear reaction? \[_{7}{{H}^{14}}{{+}_{1}}{{H}^{1}}{{\xrightarrow{{}}}_{8}}{{O}^{15}}+X\]
A) \[_{0}{{n}^{1}}\] done clear
B) \[_{-1}{{e}^{0}}\] done clear
C) \[_{+1}{{e}^{0}}\] done clear
D) \[\gamma \] done clear
View Answer play_arrowquestion_answer78) Solubility product of \[PbC{{l}_{2}}\]at\[298\,\,K\]is\[1\times {{10}^{-6}}\]. At this temperature solubility of \[PbC{{l}_{2}}\] in \[mol/L\] is
A) \[{{(1\times {{10}^{-6}})}^{1/2}}\] done clear
B) \[{{(1\times {{10}^{-6}})}^{1/3}}\] done clear
C) \[{{(0.25\times {{10}^{-6}})}^{1/3}}\] done clear
D) \[{{(0.25\times {{10}^{-6}})}^{1/2}}\] done clear
View Answer play_arrowquestion_answer79) The \[pH\] of a \[0.001\,\,M\] solution of \[HCl\] is
A) \[0\] done clear
B) \[3\] done clear
C) \[5\] done clear
D) \[10\] done clear
View Answer play_arrowquestion_answer80) Gold number is associated with
A) amount of gold done clear
B) protective colloids done clear
C) purple of cassias done clear
D) electrophoresis done clear
View Answer play_arrowquestion_answer81) Noble gases are used in discharge tubes to give different colours. Reddish-orange glow is due to
A) \[Ar\] done clear
B) \[Ne\] done clear
C) \[Xe\] done clear
D) \[Kr\] done clear
View Answer play_arrowquestion_answer82) The set representing the correct order for first ionisation potential is
A) \[K>Na>Li\] done clear
B) \[Be>Mg>Ca\] done clear
C) \[B>C>N\] done clear
D) \[Ge>Si>C\] done clear
View Answer play_arrowquestion_answer83) Dry ice is
A) solid\[C{{O}_{2}}\] done clear
B) solid camphor done clear
C) solid\[S{{O}_{2}}\] done clear
D) solid\[N{{O}_{2}}\] done clear
View Answer play_arrowquestion_answer84) Methanol and ethanol are miscible in water due to
A) covalent character done clear
B) hydrogen bonding character done clear
C) oxygen bonding character done clear
D) none of the above done clear
View Answer play_arrowquestion_answer85) Which of the following does not have optical isomer?
A) \[[Co{{(N{{H}_{3}})}_{3}}C{{l}_{3}}]\] done clear
B) \[[Co{{(en)}_{3}}]C{{l}_{2}}\] done clear
C) \[[Co{{(en)}_{2}}C{{l}_{2}}]Cl\] done clear
D) \[[Co(en){{(N{{H}_{3}})}_{2}}C{{l}_{2}}]Cl\] done clear
View Answer play_arrowquestion_answer86) \[IUPAC\]name of the following, compound
A) \[N,N-\]dimethylcyclopropanecarboxamide done clear
B) \[N-\]methylcyclopropanamide done clear
C) cyclopropionamide done clear
D) none of the above done clear
View Answer play_arrowquestion_answer87) The product of following reaction is\[2C{{H}_{3}}MgBr+C{{H}_{2}}O\xrightarrow{{}}\]
A) \[C{{H}_{3}}OH\] done clear
B) \[{{C}_{2}}{{H}_{5}}OH\] done clear
C) \[C{{H}_{4}}\] done clear
D) \[{{C}_{2}}{{H}_{6}}\] done clear
View Answer play_arrowquestion_answer88) Freon used as refrigerant is
A) \[C{{F}_{2}}=C{{F}_{2}}\] done clear
B) \[C{{H}_{2}}{{F}_{2}}\] done clear
C) \[CC{{l}_{2}}{{F}_{2}}\] done clear
D) \[C{{F}_{4}}\] done clear
View Answer play_arrowquestion_answer89) Lucas reagent is
A) \[anhy.\,\,ZnC{{l}_{2}}\]and\[N{{H}_{3}}\] done clear
B) \[anhy.\,\,ZnC{{l}_{2}}\]and\[CaC{{l}_{2}}\] done clear
C) \[anhy.\,\,ZnC{{l}_{2}}\]and\[conc.\,\,HCl\] done clear
D) \[anhy.\,\,ZnC{{l}_{2}}\]and\[HCl\]gas done clear
View Answer play_arrowquestion_answer90) The enzyme which can catalyse the conversion of glucose to ethanol is
A) zymase done clear
B) in vertase done clear
C) maltase done clear
D) diastase done clear
View Answer play_arrowquestion_answer91) When dihydroxy acetone reacts with\[HI{{O}_{4}}\], the product is/are
A) \[HCHO\] done clear
B) \[HCOOH\] done clear
C) \[HCHO\]and\[HCOOH\] done clear
D) \[HCHO\]and\[C{{O}_{2}}\] done clear
View Answer play_arrowquestion_answer92) Which of the following does not reduce Fehling's solution?
A) Benzaldehyde done clear
B) Formic acid done clear
C) Glucose done clear
D) Fructose done clear
View Answer play_arrowquestion_answer93) Sodium for mate on heating gives
A) oxalic acid and\[{{H}_{2}}\] done clear
B) sodium oxalate and\[{{H}_{2}}\] done clear
C) sodium oxalate done clear
D) \[C{{O}_{2}}\] and caustic soda done clear
View Answer play_arrowquestion_answer94) Reaction of ethyl for mate with excess of \[C{{H}_{3}}Mgl\] followed by hydrolysis gives
A) \[n-\]propyl alcohol done clear
B) isopropyl alcohol done clear
C) acetaldehyde done clear
D) acetone done clear
View Answer play_arrowquestion_answer95) Hydrolysis of phenyl isocyanide forms
A) benzoic acid done clear
B) formic acid done clear
C) acetic acid done clear
D) none of these done clear
View Answer play_arrowquestion_answer96) Styrene can be purified by
A) simple distillation done clear
B) fractional distillation done clear
C) steam distillation done clear
D) vacuum distillation done clear
View Answer play_arrowquestion_answer97) Which of the following is not reducing sugar?
A) Glucose done clear
B) Fructose done clear
C) Lactose done clear
D) Sucrose done clear
View Answer play_arrowquestion_answer98) The monomer of teflon is:
A) \[CHF=C{{H}_{2}}\] done clear
B) \[C{{F}_{2}}=C{{F}_{2}}\] done clear
C) \[CHCl=CHCl\] done clear
D) \[CHF=CHCl\] done clear
View Answer play_arrowquestion_answer99) The hybridisation state of carbon in fullerene is
A) \[sp\] done clear
B) \[s{{p}^{2}}\] done clear
C) \[s{{p}^{3}}\] done clear
D) \[s{{p}^{3}}d\] done clear
View Answer play_arrowquestion_answer100) A fruity smell is produced by the reaction of\[{{C}_{2}}{{H}_{5}}OH\] with
A) \[C{{H}_{3}}COC{{H}_{3}}\] done clear
B) \[C{{H}_{3}}COOH\] done clear
C) \[PC{{l}_{5}}\] done clear
D) \[C{{H}_{3}}CHO\] done clear
View Answer play_arrowquestion_answer101) If\[\left| \begin{matrix} a+x & a-x & a-x \\ a-x & a+x & a-x \\ a+x & -a-x & a-x \\ \end{matrix} \right|=0\], then\[x\]is equal to
A) \[0,\,\,2a\] done clear
B) \[a,\,\,2a\] done clear
C) \[0,\,\,3a\] done clear
D) none of these done clear
View Answer play_arrowquestion_answer102) If the resultant of two forces \[2p\] and \[\sqrt{2}p\] is \[\sqrt{10}p\], then the angle between them will be
A) \[\frac{\pi }{2}\] done clear
B) \[\pi \] done clear
C) \[\frac{\pi }{3}\] done clear
D) \[\frac{\pi }{4}\] done clear
View Answer play_arrowquestion_answer103) When\[y={{\sin }^{-1}}\left( \frac{2t}{1+{{t}^{2}}} \right)\],\[x={{\tan }^{-1}}\left( \frac{2t}{1-{{t}^{2}}} \right)\] where\[-1<t<1\], then\[\frac{dy}{dx}\]is equal to
A) \[0\] done clear
B) \[1\] done clear
C) \[-1\] done clear
D) \[\infty \] done clear
View Answer play_arrowquestion_answer104) \[\underset{x\to \infty }{\mathop{\lim }}\,\sqrt{\frac{x-\sin x}{x+{{\cos }^{2}}x}}\]is equal to
A) \[-1\] done clear
B) \[0\] done clear
C) \[\frac{1}{2}\] done clear
D) \[1\] done clear
View Answer play_arrowquestion_answer105) The least number of times a fair coin must be tossed so that the probability of getting at least one head in at least \[0.8\] is:
A) \[3\] done clear
B) \[6\] done clear
C) \[5\] done clear
D) none of these done clear
View Answer play_arrowquestion_answer106) If\[\frac{dy}{dx}+y=2{{e}^{2x}}\], then\[y\]is equal to
A) \[c{{e}^{-x}}+\frac{2}{3}{{e}^{2x}}\] done clear
B) \[(1+x){{e}^{-x}}+\frac{2}{3}{{e}^{2x}}+c\] done clear
C) \[c{{e}^{-x}}+\frac{2}{3}{{e}^{2x}}+c\] done clear
D) \[{{e}^{-x}}+\frac{2}{3}{{e}^{2x}}+c\] done clear
View Answer play_arrowquestion_answer107) A particle is projected under gravity\[(g=9.81\,\,m/{{s}^{2}})\]with a velocity of \[29.43\,\,m/s\] at an elevation of\[{{30}^{o}}\]. The time of flight in seconds to a height of \[9.81\,\,m\] are
A) \[1,\,\,2\] done clear
B) \[5,\,\,1.5\] done clear
C) \[1.5,\,\,2\] done clear
D) \[2,\,\,3\] done clear
View Answer play_arrowquestion_answer108) \[\underset{x\to 1}{\mathop{\lim }}\,\frac{{{x}^{8}}-2x+1}{{{x}^{4}}-2x+1}\]equals
A) \[3\] done clear
B) \[0\] done clear
C) \[-3\] done clear
D) \[1\] done clear
View Answer play_arrowquestion_answer109) \[\underset{x\to \frac{\pi }{6}}{\mathop{\lim }}\,\frac{\sin 2x}{\sin x}\]is equal to
A) \[\sqrt{3}\] done clear
B) \[\frac{1}{\sqrt{3}}\] done clear
C) \[2\] done clear
D) \[\frac{1}{2}\] done clear
View Answer play_arrowquestion_answer110) The position vectors of three points are \[\widehat{\mathbf{i}},\,\,\widehat{\mathbf{i}}+2\widehat{\mathbf{j}}\] and\[\widehat{\mathbf{i}}+3\widehat{\mathbf{k}}\]. The area of the triangle formed by these three points, is
A) \[3\,\,sq\,\,unit\] done clear
B) \[3\sqrt{3}sq\,\,unit\] done clear
C) \[4\,\,sq\,\,unit\] done clear
D) \[5\,\,sq\,\,unit\] done clear
View Answer play_arrowquestion_answer111) \[\int_{0}^{\pi /3}{\frac{\cos x+\sin x}{\sqrt{1+\sin 2x}}}dx\]is equal to
A) \[\frac{4\pi }{3}\] done clear
B) \[\frac{2\pi }{3}\] done clear
C) \[\pi \] done clear
D) \[\frac{\pi }{3}\] done clear
View Answer play_arrowquestion_answer112) If \[x,\,\,\,y\] are any two elements of a Boolean lattice, then \[(x+y)\cdot (x+y')\cdot (x'+y)\] is equal to
A) \[x+y\] done clear
B) \[x\cdot y\] done clear
C) \[x'+y\] done clear
D) \[x\cdot y'\] done clear
View Answer play_arrowquestion_answer113) Area of quadrilateral whose vertices are \[(2,\,\,3)\] \[(3,\,\,4),\,\,(4,\,\,5)\] and \[(5,\,\,6)\] is equal to
A) \[0\] done clear
B) \[4\] done clear
C) \[6\] done clear
D) none of these done clear
View Answer play_arrowquestion_answer114) In a triangle vertex angles are \[A,\,\,\,B,\,\,\,C\] and side \[BC\] are given. The area of \[\Delta ABC\] is
A) \[\frac{s(s-a)(s-b)(s-c)}{2}\] done clear
B) \[\frac{{{b}^{2}}{{\sin }^{2}}\sin A}{\sin B}\] done clear
C) \[ab\sin C\] done clear
D) \[\frac{1}{2}\frac{{{a}^{2}}\sin B\sin C}{\sin A}\] done clear
View Answer play_arrowquestion_answer115) \[f(x)=\sin |x|\]. Then \[f(x)\] is not differentiable at
A) \[x=0\] only done clear
B) all\[x\] done clear
C) multiples of\[\pi \] done clear
D) multiples of\[\frac{\pi }{2}\] done clear
View Answer play_arrowquestion_answer116) Which of the following is a logical statement?
A) Are you going to chennai? done clear
B) Shyam is a handsome boy. done clear
C) Alas ! I were a king. done clear
D) Sum of two irrational number is always irrational. done clear
View Answer play_arrowquestion_answer117) For a given integer\[k\], in the interval \[\left[ 2\pi k-\frac{\pi }{2},\,\,2\pi k+\frac{\pi }{2} \right]\]the graph of \[\sin x\] is
A) increasing from \[-1\] to \[1\] done clear
B) decreasing from \[-1\] to \[0\] done clear
C) decreasing from \[0\] to \[1\] done clear
D) none of the above done clear
View Answer play_arrowquestion_answer118) Coefficient of the term independent of \[x\] in the expansion \[{{\left( x+\frac{1}{{{x}^{2}}} \right)}^{6}}\] is equal to
A) 10 done clear
B) 15 done clear
C) 16 done clear
D) none of these done clear
View Answer play_arrowquestion_answer119) A particle starts from rest with uniform acceleration and acquires a velocity of \[40\,\,m/s\] in\[10\,\,s\]. The displacement of the particle at the end of \[10\,\,s\] is
A) \[4\,\,m\] done clear
B) \[200\,\,m\] done clear
C) \[20\,\,m\] done clear
D) none of these done clear
View Answer play_arrowquestion_answer120) If\[P(A)=P(B)=P(C)=\frac{1}{4},\] \[P(AB)=P(CB)=0\]and\[P(A\cap C)=\frac{1}{8}\], then \[P(A+B)\] is equal to
A) \[\frac{5}{8}\] done clear
B) \[\frac{37}{64}\] done clear
C) \[\frac{3}{4}\] done clear
D) \[\frac{1}{2}\] done clear
View Answer play_arrowquestion_answer121) Angles \[A,\,\,\,B\] and \[C\] of a triangle are in \[AP\] with common difference \[15\] degree, then angle \[A\] is equal to
A) \[{{45}^{o}}\] done clear
B) \[{{60}^{o}}\] done clear
C) \[{{75}^{o}}\] done clear
D) \[{{30}^{o}}\] done clear
View Answer play_arrowquestion_answer122) Length of major axis of ellipse \[9{{x}^{2}}+7{{y}^{2}}=63\] is
A) \[3\] done clear
B) \[9\] done clear
C) \[6\] done clear
D) \[2\sqrt{7}\] done clear
View Answer play_arrowquestion_answer123) Area between curves\[y={{x}^{2}},\,\,x={{y}^{2}}\]is
A) \[\frac{1}{9}sq\,\,unit\] done clear
B) \[\frac{1}{3}sq\,\,unit\] done clear
C) \[\frac{1}{\sqrt{3}}sq\,\,unit\] done clear
D) \[\frac{2}{3}sq\,\,unit\] done clear
View Answer play_arrowquestion_answer124) \[\int{\log 2x\,\,dx}\]is equal to
A) \[x\log 2x-\frac{{{x}^{2}}}{2}+c\] done clear
B) \[x\log 2x-\frac{x}{2}+c\] done clear
C) \[{{x}^{2}}\log 2x-\frac{x}{2}+c\] done clear
D) \[x\log 2x-x+c\] done clear
View Answer play_arrowquestion_answer125) \[f(x)=\frac{1}{{{x}^{2}}}\],is
A) symmetric about \[x-\]axis done clear
B) symmetric about \[y-\]axis done clear
C) symmetric about \[x\] and \[y\] axes done clear
D) none of the above done clear
View Answer play_arrowquestion_answer126) \[1,\,\,\,2,\,\,\,3,\,\,\,4\] are four numbers. How many numbers can be made using all four numbers
A) \[1\] done clear
B) \[3\] done clear
C) \[2\] done clear
D) \[64\] done clear
View Answer play_arrowquestion_answer127) \[f(x)=\left\{ \begin{matrix} \frac{\sin 3x}{\sin x}, & x\ne 0 \\ k, & x=0 \\ \end{matrix} \right.\]is continuous, if\[k\]is
A) \[3\] done clear
B) \[0\] done clear
C) \[-3\] done clear
D) \[-1\] done clear
View Answer play_arrowquestion_answer128) If\[y={{\tan }^{-1}}\left( \frac{\sqrt{1+{{x}^{2}}}-1}{x} \right)\], then\[y'(0)\]is
A) \[1/2\] done clear
B) \[0\] done clear
C) \[1\] done clear
D) does not exist done clear
View Answer play_arrowquestion_answer129) The slope of the tangent at the point \[(h,\,\,h)\] to the circle \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\] is
A) \[0\] done clear
B) \[1\] done clear
C) \[-1\] done clear
D) will depend on\[h\] done clear
View Answer play_arrowquestion_answer130) If\[A=\left[ \begin{matrix} 0 & 1 \\ 0 & 0 \\ \end{matrix} \right],\,\,\,I\]is the unit matrix of order\[2\] and \[a,\,\,\,b\]are arbitary constants, then \[{{(aI+bA)}^{2}}\] is equal to
A) \[{{a}^{2}}I-abA\] done clear
B) \[{{a}^{2}}I+2abA\] done clear
C) \[{{a}^{2}}I+{{b}^{2}}A\] done clear
D) none of these done clear
View Answer play_arrowquestion_answer131) The value of\[\tan {{1}^{o}}\tan {{2}^{o}}\tan {{3}^{o}}....tan{{89}^{o}}\]is equal to
A) \[-1\] done clear
B) \[2\] done clear
C) \[\frac{\pi }{2}\] done clear
D) \[1\] done clear
View Answer play_arrowquestion_answer132) Let \[\alpha \] and \[\beta \] be the roots of the equation \[{{x}^{2}}+x+1=0\], then the equation whose roots are \[{{\alpha }^{19}},\,\,{{\beta }^{7}}\], is
A) \[{{x}^{2}}-x-1=0\] done clear
B) \[{{x}^{2}}-x+1=0\] done clear
C) \[{{x}^{2}}+x-1=0\] done clear
D) \[{{x}^{2}}+x+1=0\] done clear
View Answer play_arrowquestion_answer133) If sum of two unit vectors is also an unit vector, then the angle between the two vectors is
A) \[\frac{\pi }{3}\] done clear
B) \[\frac{\pi }{2}\] done clear
C) \[\frac{\pi }{4}\] done clear
D) \[\frac{2\pi }{3}\] done clear
View Answer play_arrowquestion_answer134) Distance from the point \[(1,\,\,6,\,\,3)\] to the line \[\overset{\to }{\mathop{\mathbf{r}}}\,=(\widehat{\mathbf{j}}+2\widehat{\mathbf{k}})+\lambda (\widehat{\mathbf{i}}+2\widehat{\mathbf{j}}+3\widehat{\mathbf{k}})\]is
A) \[\sqrt{13}\] done clear
B) \[13\] done clear
C) \[2\sqrt{3}\] done clear
D) none of these done clear
View Answer play_arrowquestion_answer135) The value of \[\int_{-\pi }^{\pi }{(1-{{x}^{2}})}\sin x{{\cos }^{2}}x\,\,\,dx\]is
A) \[0\] done clear
B) \[\pi -\frac{{{\pi }^{3}}}{3}\] done clear
C) \[2\pi -{{\pi }^{3}}\] done clear
D) \[\frac{7}{2}-2{{\pi }^{3}}\] done clear
View Answer play_arrowquestion_answer136) The equation of circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length\[3a\], is
A) \[{{x}^{2}}+{{y}^{2}}=9{{a}^{2}}\] done clear
B) \[{{x}^{2}}+{{y}^{2}}=16{{a}^{2}}\] done clear
C) \[{{x}^{2}}+{{y}^{2}}=16{{a}^{2}}\] done clear
D) \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\] done clear
View Answer play_arrowquestion_answer137) The angle between the pair of tangents drawn to the ellipse \[3{{x}^{2}}+2{{y}^{2}}=5\] from the point \[(1,\,\,2)\] is
A) \[{{\tan }^{-1}}\left( \frac{12}{5} \right)\] done clear
B) \[{{\tan }^{-1}}(6\sqrt{5})\] done clear
C) \[{{\tan }^{-1}}\left( \frac{12}{\sqrt{5}} \right)\] done clear
D) \[{{\tan }^{-1}}(12\sqrt{5})\] done clear
View Answer play_arrowquestion_answer138) The values of \[x\] and \[y\] such that \[y\] satisfy the equation \[(x,\,\,\,y\,\,\,\in \] real numbers)\[{{x}^{2}}-xy+{{y}^{2}}-4x-4y+16=0\]is
A) \[4,\,\,4\] done clear
B) \[3,\,\,3\] done clear
C) \[2,\,\,2\] done clear
D) none of these done clear
View Answer play_arrowquestion_answer139) The complex number \[z=x+iy\] which satisfy the equation \[\left| \frac{z-5i}{z+5i} \right|=1\] lies on
A) the axis of\[x\] done clear
B) the straight line\[y=5\] done clear
C) the circle passing through the origin done clear
D) none of the above done clear
View Answer play_arrowquestion_answer140) \[\left( 1+\cos \frac{\pi }{8} \right)\left( 1+\cos \frac{3\pi }{8} \right)\left( 1+\cos \frac{5\pi }{8} \right)\]\[\left( 1+\cos \frac{7\pi }{8} \right)\]is equal to
A) \[\frac{1}{2}\] done clear
B) \[\cos \frac{\pi }{8}\] done clear
C) \[\frac{1}{8}\] done clear
D) \[\frac{1+\sqrt{2}}{2\sqrt{2}}\] done clear
View Answer play_arrowquestion_answer141) If \[a\le 0\], then one of the roots of\[{{x}^{2}}-2a|x-a|-3{{a}^{2}}=0\]is
A) \[(-1+\sqrt{6})a\] done clear
B) b)\[(\sqrt{6}-1)a\] done clear
C) \[a\] done clear
D) none of these done clear
View Answer play_arrowquestion_answer142) If the radius of the circumcircle of an isosceles triangle \[PQR\] is equal to\[PQ=PR\], then the angle \[P\] is
A) \[\frac{\pi }{6}\] done clear
B) \[\frac{\pi }{3}\] done clear
C) \[\frac{\pi }{2}\] done clear
D) \[\frac{2\pi }{3}\] done clear
View Answer play_arrowquestion_answer143) If\[{{z}_{r}}=\cos \left( \frac{\pi }{{{2}^{r}}} \right)+i\sin \left( \frac{\pi }{{{2}^{r}}} \right),\,\,r=1,\,\,2,\,\,....\]then\[{{z}_{1}},\,\,{{z}_{2}},\,\,{{z}_{3}}....\]is equal to
A) \[1\] done clear
B) \[-i\] done clear
C) \[i\] done clear
D) \[-1\] done clear
View Answer play_arrowquestion_answer144) The condition for which\[{{a}^{2}}{{x}^{4}}+b{{x}^{3}}+c{{x}^{2}}+dx+{{f}^{2}}\]may be a perfect square, is
A) \[4{{a}^{2}}c-{{b}^{2}}=8{{a}^{3}}f\] done clear
B) \[4{{a}^{2}}c=8{{a}^{3}}f\] done clear
C) \[2{{a}^{3}}c={{a}^{3}}f\] done clear
D) none of these done clear
View Answer play_arrowquestion_answer145) If\[\tan (\cot x)=\cot (\tan x)\], then\[\sin 2x\]is equal to
A) \[\frac{2}{(2n+1)\pi }\] done clear
B) \[\frac{2}{(2n+1)\pi }\] done clear
C) \[\frac{2}{n(n+1)\pi }\] done clear
D) \[\frac{4}{n(n+1)\pi }\] done clear
View Answer play_arrowquestion_answer146) Let\[a,\,\,b,\,\,c\]be real, if\[a{{x}^{2}}+bx+c=0\]has two real roots \[\alpha \] and \[\beta \], where\[\alpha <-2\]and\[\beta >2\], then
A) \[4-\frac{2b}{a}+\frac{c}{a}<0\] done clear
B) \[4+\frac{2b}{a}-\frac{c}{a}<0\] done clear
C) \[4-\frac{2b}{a}+\frac{c}{a}=0\] done clear
D) \[4+\frac{2b}{a}+\frac{c}{a}=0\] done clear
View Answer play_arrowquestion_answer147) The maximum value of \[{{x}^{3}}-3x\] in the interval \[[0,\,\,2]\] is
A) \[-2\] done clear
B) \[0\] done clear
C) \[2\] done clear
D) \[1\] done clear
View Answer play_arrowquestion_answer148) \[y\] intercept of line passes through \[(2,\,\,2)\] and is perpendicular to the line\[3x+y=3\], is
A) \[\frac{1}{3}\] done clear
B) \[\frac{2}{3}\] done clear
C) \[1\] done clear
D) \[\frac{4}{3}\] done clear
View Answer play_arrowquestion_answer149) If \[\alpha ,\,\,\beta ,\,\,\gamma \] be the angles which a line makes with the co-ordinates axes, then
A) \[{{\sin }^{2}}\alpha +{{\cos }^{2}}\beta +{{\sin }^{2}}\gamma =1\] done clear
B) \[{{\sin }^{2}}\alpha +{{\sin }^{2}}\beta +{{\sin }^{2}}\gamma =1\] done clear
C) \[{{\cos }^{2}}\alpha +{{\cos }^{2}}\beta +{{\cos }^{2}}\gamma =1\] done clear
D) \[{{\cos }^{2}}\alpha +{{\sin }^{2}}\beta +{{\sin }^{2}}\gamma =1\] done clear
View Answer play_arrowquestion_answer150) The value of \[x\] satisfying\[{{\sin }^{-1}}x+{{\sin }^{-1}}(1-x)={{\cos }^{-1}}x\] are
A) \[0\] done clear
B) \[1,\,\,-1\] done clear
C) \[0,\,\,\frac{1}{2}\] done clear
D) none of these done clear
View Answer play_arrow
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