Looking for a Tutor Near You?

Post Learning Requirement »
x

Choose Country Code

x

Direction

x

Ask a Question

x

x
x
For better view click here
x
Hire a Tutor
DISCOVER

Aieee 2

Loading...

Published in: AIEEE
798 Views

just practice

Parteek S / Jaipur

4 years of teaching experience

Qualification: Pursuing Graduation

Teaches: Mental Maths, Chemistry, English, Logic, Mathematics, Economics, NSTSE, AIEEE, BITSAT, IIT JEE Mains, WBJEE

Contact this Tutor
  1. Physics fo N, 172 = C 8. 1. Three forces F = (3i + 2j 51Q)N and simultaneously on a particle. If the particle remains in equilibrium, then find the value ofA. Identify the set of physical quantity, which has no vector quantity (a) Current, current dehsity, surface tension (b) Time, current, pressure, areå( (c) Dipole moment, time, pressure (d) Surface tension, current, pressure, time The total work done on a particle is equal to the change in its kinetic energy . C (a) always (b) only if the forces acting on it are conservative (c) only if gravitational force alone acts on it (d) only if elastic force alone acts on it The path of a projectile motion as seen from another projectile is : [Neglect air friction etc.] A IEEE•a All. A solid sphere of steel has been dipped in a liquid. If the temperature is increased, the force of buoyancy will : (a) increase (b) decrease (c) may increase or decrease (d) will remain constant A gas expands adiabatically and reversib\y. What is its change in entropy ? (a) Infinity (b) Zero (c) Depends on the gas (d) None of the above A conducting ring of radius R is rotated about its own axis, in a region where B is along the axis of ring. Calculate the emf induced between the centre and a point on the periphery of the 10. 12. ring. (a) (DBR2/2 (c) Zero (b) (DBR2 (d) None of these (a) straight line (C) parabola (b) point (d) ellipse or circle 5. A cylindrical' tank 10 m high has an internal diameter of 4m. How much work would be required to fill the tank with water, if the water were pumped in at the bottom edge ? (a) 12.15MJ (c) 1.23 MJ (b) 6.15 MJ (d) 3000 IU cd If two strips of different materials are joined to form a loop, and the two junctions are keptat different temperatures then t: (a) current flows in the circuit and its direction depends on the temperature of hot and cold junction and also on material of strips (b) direction of current can be obtained with the help of thermoelectric series (c) farther apart are the two metals lie in the thermoelectric series, larger is the emf produced (d) all of the above The diffusion current in a p-n junction is : 6. If a particular beam of light has wavelength of 100 nm, and light has 1022 photons, than what is the energy Of photon? n. J (b) 1.99 (a) 1.99 x 10 (d) 6x108J (c) 6 x 10 14 J 7, Which is untrue regarding Inolar heat capacity? (a) It is path dependent (b) It is varying with phase (c) It is path independent (d) None of the above (a) (b) (c) (d) from the n-side to the p-side from the p-side to the n-side from the n-side to the p-side if the junction is forward-biased and in the opposite direction it if is reverse-biased from the p-side to the n-side if the junction is forward-biased and in the opposite direction if it is reverse-biased
  2. 244, 13. land anci 12 at, steady states. t! 18. 19. c 20. 21. b 22. two the following linearly polarized , Consider regarding electromagnetic wave (I) The electric energy and the Iliagnetic energy have equal average values. (11) •rhe electric field and the magnetic field have equal average values. (a) Both I and Il are true (b) I is false but Il is true (c) Il is false but I is tnte (d) Both t and Il are false Find the magnetic field at point O due to system shown in figure. There are 20 turns in inner coil and 4() turns in outer coil. 2cm 1 (b) 1 2 1 2 3 1 3 2 3 C) 14: The metal plates form a parallel plate capacitor, which is maintained at a certain potential difference. When a 3 mm thick slab is introduced between the plates, in order to maintain the same potential difference, the distance between the plates is increased by 2.4 mm. Find the dielectric constant of the material. Cl 15. The equation of motion fora mass at the end of particular spring is y = 0.30 cos 0.50tm. Find the displacement, velocity, and acceleration of the mass att = O. (y) 0.3 m, O m/s, 0.075 m/s2 (b) 0.3 m, 0.4 m/s, - 0.075 m/s2 (c) 0.6 m, — 0.4 m/ s, — 0.075 m/ s2 (d) 0.3 m, O m/ s, 0.075 m/s2 16. When a current carrying circular loop is equivalently replaced by a magnetic dipole . (a) the pole strength m of each pole is fixed (b) the distance d between the poles is fixed (c) the product md is fixed (d) none of the above 17. A ball has been thrown in vertical upward direction from the top of tower of height 200 m with speed of 10 m/s. Find the minimum time interval between two appearances of ball of a height of 2.5 from top of tower ? [Take g = 10 m/s2J (a) 10414 s (c) 2.828 s (b) 1.707 s (d) 0.293 s (a) 1.9 x 10-3 T directed into the plane of (b) 1.9 x 10-3 T coming out from the plane of paper (c) 3.8 x 10-3 T directed into the plane of paper (d) 3.8 x 10-3 T coming out from the plane of paper Energy needed for moving a mass of 2 kg from the centre of the earth to its surface will be : (in joule), [R is rauus of earth in m and g is acceleråtion due to gravity at surface of earth in m/s21 (b) 2 A paramagnetic material is placed in a magnetic field. Consider the following statements : (I) If the magnetic field is increased, the magnetization is increased. (Il) If the temperature is increased, the magnetization is increased. (a) both (l) and (Il) are true (b) (I) is true but (Il) is false (c) (I) is false but (Il) is true (d) both (I) and (Il) are false How far does your car, moving at 90 km/h travel forward during 2 s of time that you will take to look at an accident that occurred on the side of the road ? Assume that in anxiety while seeing the accident your leg presses the accelerator uniformly giving it an acceleration 2 of 5 m/s
  3. 23 • (a) 50 m (b) 10 (c) 60 m (d) None of these Find the force F co bc applied on M so that m remains stationaty with respect to M ? (a) (M + nog (b) (M + m) g sin 0 (c) (M + m) g cos 0 (d) (M + tan 0 0 24. A long solenoid with length I and cross-sectional area A is closely wound with NI turns of wire. A coil with N2 turns is wounded around the centre of solenoid. Find the mutual inductance. [assume long solenoid] c 26. C 27. 028. 629. (130. 31. Mark the incorrect option in relation transfer : (a) In conduction, there is no movement of substance, while it is there in convection (b) Heating of liquid is an example of natural convection (c) Heating of liquid is an example of forced convection (d) Heat blower is an example oc Corcc(l convection Determine the rnaximum wevelength that 'would be absorbed by hydrogen like atom having Z = a Consider the most ordinary condition . (a) 122 nm (b) 10.15 nm (c) 13.53 nm (d) continuous absorption spectrum is present What mass of 235 U has to undergo fission each day to provide 3000 MW of thermal vowel z 1! it 235 is known that fission of one U atom produces 200 MeV of thermal energy [lu = 1.66 x 10 '27 kg (a) 3.16 kg (c) 37 kg (b) 37 mg (d) 3.16 x103 kg Ca) (c) (b) (d) C 25. A river is flowing from west to east a speed of 5 m/min. A man on the south bank of the river, capable of swimming at 10 m/min in still water, wants to swim across the river in the shortest time. He should swim in a direction : 5 m/min s Five gas molecules chosen at random arc found to have speed of 500, 600, 700, 800 and poo m/s. Find the rms speed and average speed. (a) 714 m/s, 714 m/s (b) 714 m/s, 700 m/s (c) 700 m/S) 714 m/s (d) O m/s, O m/s Suppose an astronaut landed on planet where g = 19.6 m/s2. Compared to earth, would it be easier, harder or just as easy for him to walk around on the planet ? What about catching a ball on planet would it be easier, harder or just as easy as on earth ? '[Assume that spacesuit is of lightweight model] (a) Walking and catching both become hatdci (b) Walking easier, catching same (c) Walking harder, catching easier (d) Walking harder, catching same The activity of a radioactive element is decreased to one third of the original activity 10 in a period of nine years. After a further lapse of nine years its activity will be : (a) 300 EofN (c) due north (b) (d) 600 E of IV (a) 10 (c) 10/9 (b) (2/3) 10 (d) 10/6
  4. 246 e) 32. Each of the three resistors shown in figure has a resistance of 2.4 Q and can dissipate maximum of 36 W without getting over heated. What 'is the maximum power the circuit can dissipate ? 2b q 2b (b) q/ 2480 (a) 108 W (c) 36 w (b) 72 w (d) 54 w (7133. The muscles of a normal eye are least strained when the eye is focussed on an object : (a far away from the eye ( ) very close to the eye (c) at about 25 cm from the eye (d) at about 1 m from the eye 34. A particle of mass 10 kg is moving with velocity v = 3i + 2j 4fc, this particle explodes by itself into two identical fragments, among which one starts moving with velocity VI = i + 6j — 9ic, find the x-component of the velocity of other 35. fragment. All the photons emitted by a source of light do not have the same energy, then mark the correct option : (a) It is not possible at all (b) Source is monochromatic (c) Source is not monochromatic 36. 37, 38. c 039. 40. 41. (a) q/ 680 (d) Zero (c) q/12€0 A potentiometer wire AB shown in figure is 40 cm long. Where should the free end of the galvanometer be connected on AB so that the galvanometer may show zero deflection ? 120 80 B (a) 16 cm from B (b) 20 cm from B (f) 16 cm from A (d) 20 cm from A Two spherical bodies of masses m and 5m and radii R and 2R respectively are released in free space with initial separation between their centres equal to 12R. If they attract each other due to gravitational force only then the distance covered by smaller sphere just before collision will be : (a) 10 R (b) 2.5 R (d) 7.5 R (d) Source must emit white light On a two lane road car A is travelling with a speed of 36 km/h. Two cars B and C approach car A in opposite direction with a speed of 54 km/h each. At a certain instant when the distance AB is equal to AC both being 1 km, B decides to overtake A before C does. What minimum acceleration of car B is required to avoid an accident ? (a) 4 m/s2 (c) 3 m/s2 (b) 2 m/s2 (d) 1 m/s2 A pole standing in a pond stands 1m above the water surface, the pond is 2m deep. What is the length of the shadow thrown by the pole on the bottom of the pond if the sun is 300 over the horizon ? Refractive index for water is 4/3 ? (b) 3.5 m A gas is enclosed in a vessel of volume V at a pressure P. It is being pumped out of vessel by means of a piston pump with a stroke volume v. What is the final pressure in the vessel after n strokes of the pump ? Assume temperature A point charge q is placed at the centre of one of the face ofcuboid as shown. Find (he electric flux crossing through upper surface. remains constant. (c) P (v/vy (b) P (V/vY (d) P (V/v + VY
  5. C 44. Two spherical conductors of radii 3 cm and 6 cm has charges of 6 PC and 3 gC initially placed at certain distance apart. Find the common potential and final charges on 3 cm and 6 cm spheres respectively, if both are connected by a conducting wire. (a) 4 x 105 V, 3gc, 6gc (b) -9 V, 6gc, 3gc (c) 9x105 V, 3pc, 6gc (d) 9x105 V, 6gc, 3gc 45. In the arrangement shown all the contact surfaces are frictionless. Find the tension in the string. 42. A venturi flow meter introduces a constriction 46. of cross-sectional area in a pipe of (d) ON cross-sectional area at . 'The meter records the difference in pressure, PI between the ordinary fluid pressure, PI, and the pressure at the constriction, P2. From this, infer the fluid speed in the unconstricted pipe. (a) (PI -P2)/P (a; (c) 2(Pl (d) al 2(Pl 43. Which of the following _plots between (1/ ) versus (1/ u) is best suited for concave mitTor ? The magnetic field existing in a region is given by B = Bo [1 + x/tJ A square loop of edge ! and carrying a current, I is placed with its edges parallel to the x-y axis. Find the magnitude of the net magnetic force experienced by the 'loop . (a) 31B01 (b) 21B01 (d) None of these l/v (a) (c) l/v (b) (d) l/u 10 kg (a) 8.33 N (b) 50 N 125 N 5 kg = SON 47. 48. c (€49. 50. Mark the correct option. (a) When an isolated charged particle is projected into a magnetic field, then its motion would be circular (b) When an isolated charge particle 'is projected into a magnetic field, then its motion may be helical (c) When an isolated charge particle is projected at some angle other than 900 into a magnetic field then its path may be circular (d) All of the above Consider the circuit shown in figure, in which charger is supplying a current of 4A to the rechargeable battery. Find the rate at which electrical energy is converted to non electrical energy and also the rate at which energy is dissipated in the battery. Charger (a) 56 w, 32 w (b) 56 w, 24 w (c) 24 w, 32 w (d) 24 w, 24 w A mass m is fastened to one end of a massless spring of natural length a and stiffness k. Holding the other end, a man whirls the apparatus in a horizontal circle at angular velocity What is the radius of the circle ? (a) ka/(k m02) (b) 2ka/(k — m02) (c) ka/(2k D— m02) (d) ka/trt(D2 The electric field due to unifomly distributed charged ring along its own axis will vary with distance from the Centre according to the plot : [Take radius of ting as R)
  6. E (a) E (b) 45 (c) R/M3 E max -R/V2 (d) x x x R/M2 max 51. The temperature versus time graph for two materials A and B has been plotted when the energy has been given to both at same rate. Initially both the materials are in solid state (below their melting point) : Q 52. d 53. c!54. 55. Temp (b)
  7. 56. is known as : (a) Fischer's salt (b) Thenard's blue (c) Rinmann's green (d) Blue vitriol (d) cH3 0 60. NC—CFL b 57. Wustite is : (a) Feo (c) Feo 900 (dj 58. Which of the following statements is not COn-ect ? C 64. lo 65. C 66. C 67. 068. C169. Among LiCl, BeC12, BC13 and CCC, , the •covalent bond character follows the order : (a) Lici < Bec12 > > ccla (b) Lici > Bec12 < BC13 > cclA BCG < cc14 (9 'Lici < Bec12 (df Lici > Bec12 > Bec13 > cclA Potassium crystallizes with a : b 59. (a) Helium has the lowest boiling point among the noble gases (b) Argon is used in electric bulbs (f) 1
  8. 3 c.F13 OH 2 conc 113P04 product Predominant product is : 2 CH3 2 (d) none of the above 72. 'Which of the following compounds would not form a silver mirror with Tollen's reagent ? (a) CH3CHO (b) HCHO (Y) CH3COCH3 73. Which of the following acid derivative rapidly forms a white precipitate (insoluble in HN03) upon treatment with alcoholic silver nitrate ? O O (a) RCONH2 Il 74. Which of the following is incorrect about thermosetting polymers ? (a) They soften on heating and harden on cooling irrevérsibly (b) By heating polymer can be reshaped and reused (c) They possess three dimensional network structure containing cross links (d) They are strong-hard and more brittle Quartz tube 2CH3COOH product porcelain chips 1073 K c 76. 77. 78. CC MOCK Which of the following does not undergo benzoin condensation ? (a) Benzene carbaldehyde (b) p-toluene carbaldehyde (c) Phenylethanal (d) 4-methoxybenzaldehyde Reagent OH OH The best reagent for the conversion is . Q (a) Zn - Hg/ conc. HCI (P) C2H50Na (c5 P/HI (d) LiAIH4 CH ,KNH2 3 ------.-.----> product, NH3 Cl product is : (a) CH3 2 3 predominant CH3 NH2 NH2 CH3 (a) CFL—CFL - — —C—CH3 NH2 Il C 79. l) 80. During sulphonation of benzene Conc. H2S0 Main product is : Sulphonating electrophile is : (a) sojH An atom of an element A has three electrons in its outermost shell and that of B has six electrons in the outer shell. The formula of the compound between these two will be : 1 (b) CH _ — —O—CH3 O O (a) A3B4 (c) A3B2 (d) A2B
  9. 81 Equal *weights of zinc metal and iodine are mixed together and the iodine is completely converted 'to zinc iodide. The fraction of the original zinc rernains unreacted (Zn = 65.0) : (a) 0.744 (b) 0.647 (c) 0.372 (d) 0.451 82. A 50.0 mL of NaOH solution was exactly neutralized by 38.6 mL of 0.213 M H2S04. The molarity of NaOl-I is : (a) 0.658 M 0) 0.329 M (c) 0.56 M (d) 0.268 M q 83. A radioactive material emits 20ß-particles per second at IOOC. If the temperature is increased to 200C then the emission rate ofß particles per second is : (a) 20 (c) 30 (b) 40 0 87. c189. C 90. 84. CHA( g) + 202 ( C02 (g) + 21-120; AH 890.3 kJ 2C21-16 (g) + 702 (g) 4C02 (g) + 6H20 (1 119.6 lu Calorific values of CH4 and C2H6 are respectively : (a) 103.9 and 55.64 (b) 55.64 and 51.99 (c) 51.99 and 55.64 (d) 55.64 and 103.9 Q 85. Variation of enthalpy of reaction with temperature is best expressed by the following d 91. equation : (AH2 -AHD/ ACP, this equation is q 86. known as : (a) Kirchoff equation (b) Vanft Hoff equation (c) Helmholtz equation (dj Arrhenius equation In the given table, solution and its gold number 251 A solution containing 3.24 g of a non-volatilc nonelectrolyte and 200 g of water boils at. 100.130CC at 1 atm. 'What is the molecular weight of the solute ? (b) 53.0 g (D 64.0 g (d) 71.02 g (c) 85.35 g If the reaction rate at a given temperature becomes slower, then : the free energy of activation is higher (b) the free energy of activation is lower (c) the entropy changes (d) the initial concentration of the reactants remains constant Which of the following combination of solute would result in the formation of a buffer solution ? (a) I-ICI + 'NaCl (b) HCI + HC2H302 (c) NaOH + I-IC2H3C)O (1 : 1 ratio) respectively (4) NE13 + HCI (2 : 1 ratio respectively) For the following electrochemical cell at equilibrium, Zn (s) IZnS04 (aq)l ICuS04 (aq)l Cu(s): 2+ = [Cu2+] cu2+ / cu Zn2+ /Zn Zn 2+ / Zn (d) Kc = lognE70.0591 Which of the following is paramagnetic ? (c) [Ni (CN)4] 2 (d) [NiC1412 A compound X on heating gives a colourless gas. The residue is dissolved in water to obtain Y. Excess C02 is passed through aqueous solution of Y when Z is formed. Z on gentle heating gives back X. The compound X is : has been given Solution Gelatine I-laemoglobin Albumen Potato starch Gold number 0.01 0.07 0.2 25 92. 93. 94. (a) NaHC03 (b) Na2C03 (d) cacoa On that basis, which of the following solution is most effective in protection of colloids against coagulation ? (a) Gelatine (c) Albumen (b) Haemoglobin (d) Potato starch Which of the following compounds does not give oxygen on heating ? (a) Hgo (b) KMn04 (c) (NH4)2Cr207 (d) KC103 Phosphorus is manufactured by heating one of the following mixtures in an electric furnace ? (a) si02 (b) Si02+C (d) + Si02+C
  10. Predominant product is : b 97 97. is in photography to teduce Agllr grains to metallic silver convert metallic silver to silver salt : en;ove undecomposed silver bromide as a soluble cotnplex (d) I-eruove reduced silver anci f; are e NH—C b 99. (c) structural isomers (d) none of these In Gattcrmann-l
  11. Il (b) 1120, O Il (d) ILO, cl, 1, -O 105. R g roup aprotlc solvent •rhe late of reaction decreases as X : —S —Me, c, 106. o o N02, -O—-S —Me, o 1, cl, -H20 —N02, Il Il N02, 1, cl, E120 -o—s NO 2 C C 'O 107. 108. 109. On Increasing temper,lli-if substance . increases (b) decreases (c) remains constant (d) depends on nature isomersatior The trans-cis 1,2-dichloroethylene proceeds With an of activation of 55.3 kcald00Ei, Al-f associated with the reaction is 1.0 kcal. The acct'.'at10fi energy for the reverse cis-crans isomerisation is : (a) 54.3 kcal mol-I (b) 56.3 kcal (c) 53.3 kcal mol-I (d) can't be predicted 4.5g of PC15 was completely vaporized 2520 C, vapour occupying 1700 rnL at '1.0 attn. The degree of dissociation is . is When 2g of a gaseous substance 31 introduced into an initially evacuated fiask 250C, the pressure was found to be 1.0 3 g of another gaseous substance B is added to it at the same temperature anci pressure. The final pressure is found to be 1.5 atm. Assuming ideal gas behaviour, which of the following is correct ratio of molecular weight of A and B ? MIO —4 81-1 + M n 2 + + EO = 1.51 v > Mn2+ + 2H20 Mn02 + 4H+ + EO = 1.23V 103.0.68 x 10-3 mole of a solution containing an ion A n + required 1.61 x 10- mole ofMnO-4 for the oxidation to in acidic medium. The value of n is . 104. An element occurs in the bcc structure with edge cell of 288 pm. The density of the element is 7.2 g/cm3. How many atoms of the element does 208 g of the element contain ? Ja) 24.17 x 1020 atoms (Ij 24.17 x atoms (c) 2.04 x 1022 atoms (d) 4.0 x 1023 atoms EOMnO- I Mn02 is . (a) 1.70 v (c) 1.37 v (b) 0.91 V (d) 0.548 V d 110. To observe the effect of concentration on the conductivity, electrolytes of different nature were taken in two vessels A and B. 'A' contains weak electrolyte NI-140H and B contains strong electrolyte NaCl. In both container concentration of respective electrolyte was increased and conductivity observed : (a) (b) (c) (d) in 'A' conductivity increases, in '13' conductivity decreases in 'A' conductivity decreases, while in 'B' conductivity increases in both 'A' and 'B' conductivity increases in both {A' and (B' conductivity decreases
  12. 1. If 21 and z. are two non-zero complex numbers such that I I = I + I then arg arg: is equal to : Cc) O 2. Let O and VB) P(B) - P(A) PCB), then : (a) PCB/ A) = P(B) - P(A) (åj / B) = P(A) PCB) Q 3. Iff : [1, [2, m) is given by f (x) = x + — , then f -l (x) equals : Given two numbers a and b. I.et denote the single AM and .S denote the sum of n APS depends on between a and b, then An ellipse slides between two perpendicular straight lines. Then the locus of its centre is a/an . (b) ellipse (a) parabola (d) circle (c) hyperbola The chances of defective screws in three boxes respectively. A box is 111 A, are selected at random and screw drawn from it at random is found to be defective. Then the probability that it came from box A, is . 2 (c) 2 x (b) 2 2 1 x 2 = 12y Clio. C 11. Q 13. 14. 16 (a) 29 27 59 1 (b) 15 42 (107 014. The point (s) on the curve y 3 + 3x where the tangent is vertical, is (are) : 4 -2 11 4 If + iß is one of the roots of the equation x 3 + qx + r = 0, then 2u is one of the roots of equation : 3 (C) ax 3 + qx— r = 0 (d) none of the above '1 2n (0 5. If a circle passes through the point (a, b) and cuts the circle x 2 + Y2 = k2 orthogonally, then the equation of the locus of its centre is : (a) 2ax + 2by — (a2 + b2 -+ 0 (b) 2ax+ 2by — (a2 —b2 + (c) x 2 + y 2 — 3ax — 4by + a2 + b2 —k 2 (d) x 2 + y 2 - 2ax — 3by + (a2 — b2 6. If B, C are square matrices of Older n and if A = B + C, BC = CB, C 2 = 0, then for any posiüve [B + (p+ I)CJ, kis: integer p, AP + equals : 2 The area bounded y 2y+ 3=x and by the x-axis in curves the 1st quadrant is : (a) 9 sq unit (c) 36 sq unit (b) sq unit 4 (d) 18 sq unit In a triangle ABC) let ZC = . If r is the inradius .32 52 7. The sum of + to co is : (b) 5e-1 (d) none of these and R is the circumradius of the triangle, then 2 (r + R) is equal to :
  13. Total number of solutions of 22. 1 j x GIO. 371], is equal sin x to : ($1) zero d 23. If in a triangle ABC, CD is the angle bisector of the angle ACB, then CD is equal to : The normal chord at a point • on the parabola y 2 4ax subtends a right angle at the vertex. Then t 2 equals : If the chords of contact of tangents from two points (Xl, h) and (x2, Y2) to the hyperbola x — = 1 are at right angles, then is 16. b 17. (a) cos 2ab 2nb (c) cos cos ab (d) none of these 2 a equal to : 2 a b2 b4 4 a YlY2 b2 2 a 4 a b4 If 2 cos 0 = x + and 2 cos = y + —j then : xy = 2 cos(0+ 4) 1 (b) xmy/J + n = 2 cos (mo + n+) (c) + = 2 cos (me + n+) = 2 cos (0 - 4) 24. C25. If the tangent at any point on the curve rx4 + y4 = c4 cuts off intercepts a and b on the —4/3 is . co-ordinate axes, the value of a (C) cl/2 (d) none of these C 18. The number of ways can 14 identical toys be distributed among three boys so that each one gets at least one toy and no two boys get equal The interval to which b may belong so that the function 21 - 4b - b2 3 f(x)= 1— is increasing at every point of its domain is . number of toys, is : (a) 45 (c) 60 coefficients in the (b) 48 (d) none of these d 26. (c) (2, 2.5) (d) all of these denote the binomial expansion of (1 + x Y and 2 (a) np (c) np Q 20. If the 2 bx2 + 2gxy pairs 2 is : 0) npq (d) none of these lines of straight and by 2 = 0 be such that each bisects 27. 21. the angles between the other, then : (b) ah + bg = 0 (a) hg + ab = 0 (c) 112 — 0 (d) ag + bh = 0 4 The locus of the point, the chord of contact of tangents from which to the circle x 2 + y = a 2 subtends a right angle at the centre is a circle of radius : (a) 2a —i + j —k bisects the angle If the vector between the vector c and the vector 3i + 4j, then the unit vector in the direction of c is . 1 (a? —(117 + 10j+ 2k) 15 1 (Ili - 10j + 210. 15 1 (c) (Ili + 2k) 15 1 (A) + 10j+ 2i() 15 Let f : (— 1, B, be a function defined by -1 2x f (x) = tan 2 , then f is both one-one I—x and onto when B is the interval : (b) (c) o,
  14. 28e A blackstnitll carries 41 hammer on his shoulder and holds it at the other end oc its light, handle tn Lhis hand. If he changes the point of suppott of the handle at the shoulder and if x is the distance between his hand and the point of support, then the pressure on his shoulder is proportional to : 1 (c) X (d) 2 x p, q , be three mutually perpendiculax vectors of the same magnitude. If a vector x satisfies che equation 0, then x is given by 1 b 29. A solid right circular cylinder is attached to a hemisphere of equal base. If the CG of the combined solid is at the centre of the base, then tne ratio of the radius and height of the cylinder is . (d) none of these 30. A sphere impinges directly on a sphere of twice its radius at rest. If the coefficient of restitution 1 is then the ratio of their velocities after 1 r) (c) 10' impact are . (C) 4 : 11 (b) 3: 11 (d) 2: 11 u 31 b 32. be in , all) . , hi() be in HP. If al = hi() = 3, then a4h7 is : AP and hi, h2, equal to : 1 1 = hi = 2 and If loga x— p and logbX = q, then log x ab is 1 (b) 1 1 q 2 C 33. Let, f: R + R be any function. Define 34. g : R -9 R byg(x) = I f (X) I for all x. Then g is (a) onto iff is onto (b) one-one iff is one-one (c) continuous iff is continuous (d) differentiable iff is differentiable The smallest positive root of the equation, tan x —x = 0 lies in . C 35. 36. q 37. 38. An unbiased die, with faces numbered 1, 2, 3, 4, 5, 6, is thrown n times and the list of n numbers shown up is noted. Then the probability that, among the numbers 1, 2, 3, 4, 5, 6, only three numbers appear in this list, is : (a) 6 3 (c) 611 (d) none of the above In the adjacent figure the points A, B, C, D and E lie on the circumference of a circle, BE sin (B + C) (b) sin + D) Sin (B A E) (d) sin (A + E + D) If Xl, xg, x 4 are four positive real number: is equal to : c sin (E ± A + D) (a) sin (E + A B) sin B (c) sin D such that (c) T i' 37t (d) 1 1 1 = 4 and x 4 + = then :
  15. 4 (b) x 2 = x 4 but (d) A-ax 4 = l, 39. If a. b, c are non-zero real numbers and + bz + c + i = 0 has purely imagina1Y roots, C 40. then a equals : (a) bc 2 (b) b2c (d) -b2c A ball is released from a balloon IQ s after it starts ascending with a uniform Liacc Cle) at ion of 1.96 ms -2. If the acceleration due to I a vity is 9.8 ms -2, then the greatest height above the ground reached by the ball is . (a) 115 m (b) 95.6 m (c) 117.6 m (d) 121 m

Need a Tutor or Coaching Class?

Post an enquiry and get instant responses from qualified and experienced tutors.

Post Requirement

Related Study Notes

Upload Study Notes

If you have your own Study Notes which you think can benefit others, please upload on LearnPick. For each approved Study Note you will get 100 Credit Points and 100 Activity Score which will increase your profile visibility.

Upload Now
Home > Study Notes > Aieee 2