Q.1 Orbits of a particle moving in a circle are such that the perimeter of the orbit equals an integer nu mber of de - Broglie wavelengths of the particle. For a charged particle moving in a plane perpendicular to a magnetic field, the radius of the nth orbi tal will therefore be proportional 1) 2) 3) to : n2 n nX n~ correct answer is 3 w w w www.100marks.in .1 00 m ar ks .in 4) C.2 Two blocks of mass M, = 20kg and M2 = 12kg are connected by a metal rod of mass 8 kg. The system is puUed vertically up by applying a force of 480 N as shown. TI1e tension at the mid-point of the rod is: 480N 1) 2) 3) 144 N 96 N w 4) 192 N correct answer is 4 w w 240 N www.100marks.in .1 00 m ar ks .in Q.3 An LCR circuit as shown in the figure is connected to a voltage source Vac whose frequency can be varied. 24 H 2~F 15 n Vac = V 0 sin wt The frequency, at which the voltage across 2} 3} 4} Q.4 143 Hz A body starts w w 345 Hz correct answer is 3 w fT0I11 plane of slope 45°. The coefficient varies as J..L= 0.3 have maximum when x= 1} .1 rest on a long inclined of X, 23 Hz friction between the body and the plane where x is distance travelled down the plane. The body will speed (for g=10 m/s2) 9.8m 27m 12m 2) 3} 4) 3.33m correct answer is 4 www.100marks.in 00 m ar 1} 902 Hz ks the resistor is maximum, is : .in Q.5 A and B are two sources generating sound waves. A listener is situated at C. The SOLuce frequency of the at A is 500 Hz. A, C with a speed no w moves I towards 4 lll/ s. The number of beats heard at Cis 6. When A moves away from C with speed 4 fil/ S, the nurnber of beats heard at C is tTl/ 18. The speed of sound is 340 frequency of the source at B is : A 1) s. The C 506 liz 512 K:.: correct answer is 3 B 3) 4) w w w www.100marks.in .1 494 Hz 00 m ar 2) ks 500 Hz .in a.6 A dc SOUTceof emf El = 100 V and internal resistance r = 0.5 il, a storage battery of emf ~ = 90 V and an external resistance R are connected as shown in figure. For what value of R no current the ba t tery ? will pass through E1 r=0.5il ""tv" HHAAU :'I :~E 2 4) 2.5 n correct answer is 3 w w 3) 4.5 n w www.100marks.in .1 2) 3.5 n 00 1) 5.5 n m ar ""RH ks UAA~A~A .in 0.7 The change in the value of acceleration of earth towards SWt, when the moon comes from the position of solar eclipse to the position on the other side of earth in line with sun is : (mass of the 111.0011. = 7.36 X 1022 kg, radius of the moon's orbit = 3.8 X 108 m). '1 ) 2) 3) fi1:\)( . 10-5 '1.l 6.73 x IO-l '1.2 . 6.73)( 10-2 ~2 correct answer is 1 4) 6.73xIO-4 %z 0.8 the value of ' 'Y' of the gas is : 1) 2) 3) 1.5 1.4 1.3 1.6 correct answer is 2 4) w w final pressure of gas is 128 atmospheres, w www.100marks.in .1 becomes 32 times of its initial value. If the 00 m adiabatically compressed so that its density ar ks An ideal gas at a tmospheric .in pressure is 09 A tennis ball (treated as hollow spherical shell) starting from 0 rolls down a hill. At point A the ball becomes air borne leaving at an angle of 300 with the horizontal. The ball strikes the ground at B. What is the value of the dis tance AS ? (Moment of inertia of a spherical shell of mass m and radius R about its diameter w w w .1 B correct answer is 2 2.0m __ 01_1}1_l\.,_.7A 1) 2) r 1.8701 2.08m 3) 4) 1.57m 1.77m www.100marks.in 00 m ar ks .in 0.10 The dimensions of angular momentum, latent 1) heat and capacitance are, respectivel y. ML2Tl A2, L2T-2, M-1 L-2"[2 correct answer is 4 0.11 Air of density 1.2 kg m -3 is blowing across the horizontal wings of an aeroplane in such a way that its speeds above and 2) 3) 4) 180Nm-2 75000lm-2 12500 Nm-2 correct answer is 3 w w 1) 60 Nm-2 w sides of the wings, is : www.100marks.in .1 00 difference between the upper and lower m ar below the wings are 150 IDS -1 and 100 ms-1, respecti vel y. The pressure ks .in Q.12 This question Statement-2. 10f the Statements, describes the ttoo Statement 1 : has Statemeni-L and tile four choices given after choose the one that best Statements. [11 Young's dou ble slit of fringes exper imen t, the rrumber observed in the field of view is small with longer wave length of light and is large wi tho shorter wa ve length of light. ,'",,*,, 2) Statement 1 is false w Statenlenl 2 is true 3) 4) St..~l~I.IWilnd~~ tmit.-d tt... S"'I e m~'tIt 2 ~ .... lt2 il: I tmol' ..:o:pl.mJtio., ,:J tho 5tJ_l~t Statement 1 is is true w 1) _" _1fIll.""'_'~b""'1Io ~r'.\fI.""~1I ..I 'lie and and Statement 2 false w the the .1 directly on the wave length of light. www.100marks.in 00 correct answer is 3 m exper ime n t the fringe ar ks Statement 2 : in .in the d ou ble sl it wi d tIL. depends Q.13 To find the resistance of a gal vanorneter by the following Rl = 9970 half deflection method the circuit is used with resistances 0, 1~2 = 30 ill .n and 1~3 = O. T11.e is d. With. deflection R3 = 107 The the galvanonleter n the deflec tion changed r es istance d to 2' IS galvanonleter : approximately w w w .1 G 1) 2) 3) 4) 107 n 137 n 107/2 n 77 n correct answer is 4 www.100marks.in 00 I m ar ks .in Q.14 The focal length of the objective and the eyepiece focussed distant 1) 2) 3) 4) - of a telescope for distinct are SOClll. and is its on a scale then Scm respec ti vely. If the telescope vision 2n1. from its objective, power will be : magnifying 4 -8 +8 -2 correct answer is 4 Q.15 sinusoidal voltage SOlITce in which the peak voltage Eo is equal to the constant D.C. voltage E. At resonance the peak value of the charge acquired by the capacitor will be : 1) 2) 3) 4) 10-15 C 10-6 C 10-10 C 10-8 C w correct answer is 4 w 10-9 C. The D.C. source is replaced by a w www.100marks.in .1 circuit, the capacitor 00 m a constant D.C voltage E is applied to the acquires a charge ar ks L=10-5 Henry and R=100 Ohm, when .in In a series L-C-R circuit, C=10-11 Farad, 0.16 A point charge of magnitude + IJ.LC is fixed at (0, 0, 0). An isolated uncharged spherical conductor, is fixed with its center at (4, 0, 0). TIle potential and the induced electric field at the centre of the sphere is : 1) 1.8 x lOS V and - 5.625 x 106 Vim Vjm 2) 3) 4) 0 V and 0 Vim 2.25x 105 V and -5.625X106 2.25x1(~ V and 0 Vjm correct answer is 3 0.17 A uniform 2xI011Nn,-2) tensile stress wire (Young's modulus If the is subjected to longitudinal 2) 3) 4) 1.5xlO-4 O.25X1O-4 5Xl0-4 correct answer is 3 w 1) 1.0XIO--I w w wire is close to : www.100marks.in .1 00 the fractional decrease ill tIle radius of th.e m overall volume change in the wire is 0.02%, ar ks of 5 x 107Nrn -2. .in 0.18 The half - life of a radioactive the same as the mean-life rad ioa ctive substances 1) 2) 3) 4) element A is of another of lni hall y both element have B. the same number atoms, then . . A ,In,1 H bnlh lk'C:J}' .,1 the '10)111" mi., "IW.1)1" A ,IllJ H wUI "'I.'(\lY ot tlw s,ln~ rate iniU"Uy A wUI JCt..,}' at .1f~ll" r.I'" lh'Hl 8 illit:i.JUy " will ~h .. \:.ly ,II., lnill'llI}' 1.I!.Itl'r ,,,t..: ,hom ;\ correct answer is 4 0.19 A ball projected from ground at an angle projection is 4m from the foot of wall and on the other side of the wall, the height of 1) 4.4m 2) 3) 4) 2.4111 3.6n1 1.6m correct answer is 2 w the wall is : w w www.100marks.in .1 00 ball strikes the ground at a distance of 6m m ar ks of 45° just clears a wall in front. if point of .in 0.20 A plane electromagnetic wave In a non-magnetic ~ ~ dielectric medium is given with by E = Eo (4 X 10-7 x-50 t) distance being in meter and time in seconds, The dielectric constant of the medium is : 1) 2) 3) 2.4 5.8 8.2 4) 4.8 correct answer is 2 0.21 To establish an instantaneous current of 3) 4) 2Xlc? V /s 4xlO" vis 0.22 Choose the correct sketch of the magnetic field lines of a circular current loop shown by the dot 0 and the cross ®. 1) 2) 3) 4) J "I ...,._'L 0?=' 51_:< ..)) ~" '}iiI"" I ,. ~)) ,'-=:- . correct answer is 1 w correct answer is 3 w 2) 4xld' Vis w should be changed at the rate of: 1) z x 104 v /s www.100marks.in .1 00 m ar difference across the capacitor ks 2 A through a Tu.F capacitor; .in the potential pla tes Q.23 Two sma ll equal point charges of magn itude q are suspended from a common point on the ceiling by insulating massless strings of equal lengths. They come to equilibrium with each string making angle e frorn the vertical. If the mass of each charge is 111, then the electrostatic potential at the centre of line joining them will be 1) 2) 3) (~€O m ar ks =k ). 2 "II. mg l.1nO Jk mg tan9 The image of an Illuminated square is obtained on a screen with the help of a converging lens. The distance of the square from the lens is 40 cm. 1'11earea of the image is 9 times that of the square. The focal length of the lens is : 1) 36 em 2) 3) 4) 27 em 60 em 30 em correct answer is 4 w w Q.24 w www.100marks.in .1 4) 4 Jk mg til119 correct answer is 3 00 4 Jk mg / t"uD .in Q.2S A certain amount of gas is taken through a cyclic process (A BCD A) that has two isobars, one isochore and one isothermal. The cycle can be represented indica tor diagram as : 1) 2) •, ~ on a P- V , 4) ., . , correct answer is 3 Q.26 Figure forward shows a circuit in which three J HUH 'I '''''' D1 Rl I ""'. " w w The CUTTentthrough 1~3 is : r w D2 D3 R3 + 1) 2) 3) 4) I 'r------o/WW'oI 6V SOmA 100 n:v\ 60 mA 25 mA correct answer is 1 www.100marks.in .1 H'I = R2 = 1~3 = 50 n. _H~'" '''''' 00 Ba ttery voltage is 6 V. R2 m backward resistance. ar ks resistance of ?O .in identical diodes are used. Each diode has and infinite Resistors n Q.27 A mass m = 1.0kg is pu t on a flat pan attached to a vertical spring fixed on the ground. 'The mass of the spring and the pan is negligible. and released, 500 N/m. harmonic motion. When pressed slightly simple The spring constant is the mass executes What is the amplitude A of the motion, so that the mass m tends to get detached from the pan? (fake g=10 In/52). not gel distorted during the motion. The spring is stiff enough so that it does m k 1) 2) 3) 4) A> 2.0 em A=2.0 e111 A < 2.0 em A=l.S e111 w w correct answer is 3 w www.100marks.in .1 00 m ar ks .in 0.28 A current conductor induction distance 1) 2) 3) 4) 1 IS flowing L. . In a straight of length at a point The magnetic on its aXIS at a 4" L from its centre will be : Zero ..!!2!_ hI. J2 L ""i ~ J5nL correct answer is 1 0.29 This question has Stntement-l and w w is achieved reflection appropriate due w .1 Statement 1: Short wave transmission to the e-m total wave internal from 00 m describes the two Statements. ar ks the Statements, choose the one that best .in Stniemeni-Z. Of the four choices given after of the an of a height in the ionosphere. Refractive index Statement 2 : e-l1l waves. 1) 2) 3) 4) SCiiterrwnlI as true. SldtnnE'flt 2 Is ("I~~' St.'lemenl I b 1.11)1"" StJklllItut _ 1 1 .. plasma is independent of the frequency of 2 III "". __ II.,, 1._ " ,'", ..... ."...", .. I ~1''' ,I .. t._ ""'~~'ilYlft~H. _1,,'..... _' correct answer is 1 www.100marks.in 0.30 Given that 19 of wa ter in. liquid phase has vo lume lCll1 3 and in vapour phase 1671cm3 a t atmospheric pressure and the latent heat of vaporization of water is 2256 Jig; the change in the internal energy in Joules for 1 g of water at 373 K when it changes from liquid phase to vapour phase at the same temperature 1) 2) 3) 4) is : 2256 167 2089 1 0.31 1) 2) 3) 4) 2 2 520 I>- < 520 J- < 5032- soj- < S20~-< 520;)')_ 51Qi < S03 < 510;; )')_ ?- w orders: S20~ < $20. < S03 w )- w correct answer is 3 www.100marks.in .1 Oxidation state of sulphur In aruo ns 502 - ...023 ,52 -! and 520~- increases in the 00 m ar ks correct answer is 3 .in Q.32 A major component of Borsch reagen t is obtained by reacting hydrazine hydrate with which of the following? 1) ch"" correct answer is 3 4) .• • ., ., w w w www.100marks.in .1 00 m ar ks .in Q.33 Given Reaction Li (8) ---+ Li (g) Li (g) -4 Energy 01ange (in kj) 161 520 Li + (g) -4 ~ F2 (g) F (g) 77 (Electron gain enthalpy) F (g) +e - ---+ F- (g) electron gain enthalpy of fluorine would be : 1) -300kJmo)-1 2) -350kJmol-1 4) -228 kJ J11O)-1 w w Based on da ta provided, w .1 00 Li (8) + Y2 F2(g) ---+ Li F (s) m ar - 617 the val ue of correct answer is 3 www.100marks.in ks Li+(g)+F-(g)~LiF(s) .in -1047 Q.34 A molecule M associates in a given solvent according to the equation M ~ (M)n' For a certain concentration of M, the van't Hoff factor was found to be 0.9 and the fraction of associated molecules was 0.2. The value of n is : 1) 3 5 2) 3) 4) 2 4 correct answer is 3 Q.35 1) 3) 4) LiF> NaF > KF > RbF Q.36 Xe04 molecule is tetrahedral having: 1) 2) 3) 4) Two pn d7T bonds r- One p-rr - drr bond [iOl1 r l-11T- d'TTbonds correct answer is 3 Three pv-J" bonds w w Li F < I aF < KF < Rb F w correct answer is 5 www.100marks.in .1 00 2) RbF < KF < NaF < LiF m LiF < RbF < KF < NaF ar ks in water is : .in The solu bility order for alkali metal fluoride 0.37 'rhe reaction X---+Y is an exothermic Enthalpy of reaction. Activation energy of the reaction for X into Y is 150 k] n10)-1. reaction is 135 kJ mol-I. be: 1) 2) 3) The activation energy for the reverse reaction, Y~X 280 kJ mol-I 285 kJ mol-1 270 kJ mol-1 15 kJ mol-1 correct answer is 2 will 4) 0.38 FOI which of the following of Nitrogen? compounds 2) 3) 4) Pyridine Diazomethane 0.39 Which of the following statements aspirin is not hue? 1) 2) w w Alanine correct answer is 3 w .1 00 1) Nitrobenzene m the percentage ar ks Kjeldahl method can be used to determine .in about It is effective in relieving pain It is a neurologically active drug It has antiblood dotting action correct answer is 4 3) 4) It belongs to narcotic analgesics www.100marks.in 0.40 The density of 3M solu tion of sodium chloride is 1.25? g InL -1. The molality of the solution will be : (molar mass, NaCl 1) = 58.5 g mol-') 2.60 m 2) 3) 4) 2.18 In 2.79 m 3.00 In correct answer is 3 0.41 Which 1) of the following structures represents thymine ? ~t~ • r. , n .~ 2) 3) 4) ,/-~ " .. ll: correct answer is 4 OA2 The polymer used for optical lenses is : 1) 2) 3) polypropylene polyvinyl chloride polythene pol ymethyl methacrylate correct answer is 4 4) 0.43 Which of the following is diamagnetic 1) w w w .1 00 m In- ";' .. . ., ar ks /", .in ? [Fe(CN)6J3 ICu(OXll'- 2) 3) 4) lFeF6J3ICo(F6)!3- correct answer is 2 www.100marks.in 0.44 Bond order normally gives idea of stability of a molecular species. All the molecules VIZ. H21 Li2 and B2 have the same bond order yet they are not equally stable. Their stability order is : 1) 1-12> 82> Li2 2) 3) 4) u2> Li2 112> 62 > 132> H2 correct answer is 1 B2> H2> li2 0.45 • correct answer is 2 0.46 TIle wave number of the first emission line in the Balmer series of H-Spectrum (R = Rydberg constant) : 1) 5 w 2) h.,,)' l!fl'(~); (~I; t I I w w .1 Which one of the following arrangements represents the correct order of solubilities of sparingly soluble salts Hg2Cl21 Cr2(S04)3' BaS04 and Cr0S respectively? 00 m ar ks .in is 36 R ..2_R 400 2) 3) 4) ?R 6 :!R 4 correct answer is 1 www.100marks.in Q.47 What is the structure of the major product when phenol water? 1) • I·' * is treated with bromine 2) 3) 4) .. r • I I .. . . ... .. . r 0.48 correct answer is 1 NaOl--i is a strong base. What will be pH of 5.0x lO-2M NaOH solution? (10g2 = 0.3) 1) 14.00 3) 4) 13.00 value of Na2S04 is much less than that of NaBI for sol B. The correct among the follow ing is : 1) 2) 3) 4) Beth the ~OLi A a1lJ cl't'lf);.cd 8.\1\'" ~\ w than that of KCI for sol A and flocculation w w .1 0.49 Floccula tion value of BaCl2 is much less 00 m 12.70correct answer is 4 ar statement correct answer is 2 d)' Sui A is pcsfttvety charged and Sol B is ncg<:ltit;clv ~ Both the sols ... ' chil~ ...:1 ""J D<1W J')!lb\('ly St-, ,\ II n~·j:.J'l\'lI'h ~h.I,pod .. n.,I ",II U" 1'\J!olll~~I~ o.:tw,.p_\I www.100marks.in ks .in 2) 13.70 Q.50 Amongst would 1) 2) 3) 4) the following alcohols which react fastest with conc. HCl and ZnC12 ? penlanol 2-methylbutanol 2-pentanol 2-methylbutan-2-o1 correct answer is 4 Q.51 Values of dissociation given as follows: constant, Ka are Correct order of increasing base strength of the base CN 1) I w w liN 02 w r- < CN- < NO'2 2) 3) 4) NOi <CN- <F- F-< NO:; < CNN0i < F- <CNcorrect answer is 3 www.100marks.in .1 4.0XIO-4 F- and N02 will be : 00 I-1F 7.2xIO-4 m ar J--ICN 6.2xlO-1O ks .in Acid Ka 0.52 Clernrnensen 1) UAl114 reduction of a ketone is carried out in the presence of : 2) 3) 4) Q.53 Zn - rig with HCl Glycol with KOH H2 with Pt as catalyst correct answer is 2 Which incorrect 'I) 2) ref. j,1I'.If..o ..... of the Follow ing statements ? I'k ..1d n-J",*- IS \o\~'h"CN· "' I"H i,-,"p..'I':"tob:-d~(')kv'''' SC'l- Il.<n 3) 4) On I'..... "IC 11:-'" hllv NJJ 1"'-'1 "~",'I,~\,, "'''''''fTI'('! /4,lti«h'fl"ll"\l. l."r'" 10 ... _ .,.10 ~.. ,_.01 ~,.,fIt'lt''''''I,w:·,,,,, 2) 3) 4) 0 < 5 < As < Se 0 < S < Se < As correct answer is 4 0.55 In Williamson having 1) MI'~ If ... __ w Se < 5 < As < 0 w w 1) As<S<O<Se synthesis .1 of mixed 00 alnong the elen'lents 0, 5, Se and As is : m ar 0.54 Tile order of increasing sizes of atomic radii ks correct answer is 1 .in ether alkyl ".1".., .. ...,. ... 4,0". ':wl' trl_ a prImary .... "" """"' and a tertiary group if tertiary halide is used, then: 4..... ..... d."t~U' "I......t;,~~,. ,.".1 2) 3) 4) Alkene will be the main product ~ln",1e ~lJt('1...1lI lvon ios.ll' ..... \)1 nj~~N Expected mixed ether will be formed correct answer is 2 www.100marks.in 0.56 Which of the folJowing would not give 2-phenylbutane as the major product in a Friedel-Crafts alkylation reaction? 1) I-butene+ Hr 3) 4) Butllnuyklll(.>fid.. +AICI" 110 "'1m lao Butyl chloride + A1Ch correct answer is 3 0.57 Arrange in the correct order of stability (decreasing order) for the following molecules: 00 Me H m ar ks w w .1 Me H (I) w (II) H H Me Me (IV) (III) 1) 2) 3) 4) (I»(II»(III»(IV) (IV) > (lll) > (ll) '" (I) (I) > (II) '" (Ill) > (IV) (III) > (I) ., (U) > (IV) correct answer is 3 www.100marks.in .in 0.58 Which one of the following statements about packing in solids is incorrect? 1) 2) l.~!"rdlnoilh)l\ numb..·r 11\ kc omd~' c'( 1'Ill.II\.: I..~ CC)ClI'JIn."lII\ll\ nu~r in hc'r mextc oll"II:"in~ iii 12. 3) 4) VwdJ 'r,I('" In h:f' IrMW ,,. 1,••d,fI'l:) ls'}2~ VuiJ -e-p,l(;t! in rep lUl."Jorvi pa:linS ~~'~', correct answer is 3 0.59 The Wurtz-Fittig of : reaction involves condensation 1) two molecules of aryl halides and all.yl-It<ilide 2) 3) 4) I"'enol two rnolecu les of aralkvl-haliJes correct answer is 2 0.60 1) 2) calcium coke Al-powder sodium correct answer is 3 3) 4) 0.61 The number of ways in wh.ich an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is : 1) 2) 3) 3Oe 7 21Cij 21 C7 4) 30 e6 correct answer is 3 w used : w w which of the following reducing agents is www.100marks.in .1 00 ill Goldschmidt alumino thermic process m ar ks .in Q.62 1£ the system of linear equations xl xl + 2x2 + 3x3 = 6 + 3x2 + 5x3 = 9 2xl +5x2+ax3 = b is consistent and has infinite number of solutions, then: 1) 1\=8, b C1\n be any real number 2) 3) b=J5, a can be any real number a E R-(8} and b e R-(15) correct answer is 4 w w w www.100marks.in .1 00 m ar ks .in 0.63 Given sum of the first n terms of an A.P. is ?n+3n2. Another A.P. is formed with the same first term and double of the comrnon difference, the sum of n terms of the new A.P. is : 1) 2) 3) 4) n+4n2 6n2-n ,,2 +4n 311+2,,2 correct answer is 2 0.64 Statement increasing Statement .le .r 1 : The function x2 (eX+ e - X) is for all x > O. ks .in .1 00 are increasing m ar 2 : 'The functions x2ex and in any in for all x > 0 and the functions function (a, b). 1) <it.1t__,t I l" (011....• ; <;,j,Ih'l1"lC'f'll 2 k ..__ .... , ... ~ .. fI(II", 1 true ...If_I ttI,I". '\j~"""'l'l 2) 3) 4) _,.... .._,,,.!!I:I_" <C111i'm."nl I r.. rrue : "lilt"""""" 2 to;; Ialse. "'.... ,_' tr __ •• ',- _, .. ,I! .. ~., I _ .... 11'_' ... ,.c..- .... _, 1. w interval (a, b) is an increasing w correct answer is 3 w sum of two increasing www.100marks.in 0.65 Mean of 5 observations observations observations 1) 2) 3) 4) is 7. If four of these are 6, 7, 8, 10 and one is of all the five is : missing then the variance 4 6 8 2 correct answer is 1 0.66 111earea of the region (in sq. units), in the first quadrant, IS: 1) 7/9 bounded by the parabola y=9x2 and the lines z =D, y=l and y=4, 0.67 If the x-intercept w correct answer is 4 w 4) 14/9 w .1 of SOlne line L is double 3) 7/3 00 + 4y = 12 2) 14/3 as that of the line, 3x m ar and the correct answer is 4 y-intercel"IT of L is half as that of the same line, then the slope of Lis: 1) -Q ,., 2) 3) 4) -3/8 -3/2 -3/16 www.100marks.in ks .in Q.68 The sum -+ 12 7 2 II 3 5 12 + 22 + 7 12 + 22 + 3 2 +....upto Tl-terms is : 1) 2) 3) 4) 4 II T so Il correct answer is 3 Q.69 7~ 1) 2) log 2 correct answer is 1 Q.70 Let R={ (3, 3), (5, 5), (9, 9), (12, 12), (5, 12), (3, 9), (3, 12), (3, 5) } be a relation on the set A= { 3, 5, 9, 12 }. Then, R is : 1) 2) 3) r"OC'xivt', ~ym.mC"t.nc but nut nansteve, syrnmetr+c. t.r..,n.sib\·C' but not rello:!xh·e. an equivalence relation. reflc:oxive', Irancilh'C' ")"lnmdnc. bUI nClt 4) correct answer is 4 w 4) log .J2 w w 3) 2 Jog 2 www.100marks.in .1 00 m lo~2 .fi ar ks 7% .in lbe integral I ~tan2 x dx is equal to : 0.71 1£ a comp l ex riumb er z satisfies the equation equal to : 1) 2) 3) 4) z + .J2lz + 11 + i = 0, then [z] is 2 J3 .J5 1 correct answer is 3 0.72 if the 7tll. teTID ill. the binomial expansion of ( ~ +.J3 ln x r' m x > 0, is equal to w w 4) 2e correct answer is 2 w www.100marks.in .1 3) i 00 2) e ar ks 729, then x can be : .in Q.73 Statement parabola, 1 : The line x - 2 Y = 2 meets the y2+2x=O only at the point (- 2, - 2) : Statement 2 : The line y = Hl.X - 2n1 1 (n'l:;CO) is tangent to the parabola, 1= - 2x at the .in poi n t 1) 2) 3) _ttl_"'_.lto (- 2 ~ 2 ,2 IS !) .1 x2 9.ltt!l'nlMt --U_I. 4) __ __ : .._~_, 1.. correct answer is 2 Q.74 If a circle C passing through (4, 0) touches the circle w w w + y2 + 4x 00 ... lis I~; Sllkm~llt 2 b m ar __ x---2 .... .......,_ ks St.wmmt I is true • Statemenl f.llw - 6y -12 =0 externally 1) 2) 3) at a point (1, -1), then the radius of the circle C is : 5 2$ 4 4) J57 correct answer is 1 www.100marks.in 0.7S Let Q be the foot of perpendicular from the origin to the plane 4x - 3y + z + 13 = 0 and R be a point ( -1, 1, - 6) on the plane. Then length Ql~ is : 1) 2) 3) .Jf4 if • 'Ji 2 3 4) 0.76 .fi correct answer is 3 Given two independent events, if the probability that exactly one of them occurs 1) % 2) 3) 4) % % % correct answer is 1 0.77 The statement to : 1) 2) 3) w probable of the two events is : p-+q p-+(pvq) p-+(p-+q) p -+ (p /\ q) correct answer is 2 4) w w p --t (q --t p) is equivalent www.100marks.in .1 occurs is 49' then the probability 00 15 m ar 26 is 49 and the probability ks that none of them .in of more 0.78 The maximum 1) 2) 3) area of a right his: angled triangle wi th hypotenuse hI, 21i h~ h_%, 4) 0.79 ,,~ correct answer is 4 If J x2_X+l ecot-l.\ x2+1 c i x=A x () e cot-1.\ +, C then A(x) is equal to : 1) 2) 3) 4) -x 0.80 A ( - a, 0) and B (a, 0), a > 0, and the third vertex Clies above x-axis then the equation of the circumcircle of LlABC is : 3) ::?+/-2ay=a2 correct answer is 1 w w w If two vertices of an equilateral triangle are www.100marks.in .1 00 -/l+x correct answer is 2 m ar .Jl-,' ks X .in Q.81 The acute angle between two lines such that the direction cosines I, ill, n, of each of them satisfy the equations 1+ m +n= 0 and 12+m2-n2=O is: 2) 3) 300 600 correct answer is 3 Q.82 Consider the differential equation w order homogenous Statement 2 w w transforms the above equation into a first differential ~rlle solution equa tion. of this .\ - C. .1 00 Statement 1 . . l~he substitution m ar dy dx 2 (xy2 _x2) ks .in z=y2 y3 differential equation is y2 e' 1) 2) 3) 4) -I,/, Both statements are false. Sl.\lcmen! I l.. b.r.II~. ~.,t.lh·mml I t'l 1.,1" ;11'1\1 :lfollnnC'ni 2 b ClUe .11'\1.1 Uolw.nwnt 2 uue Both statements are hue. correct answer is 4 www.100marks.in 0.83 The number of solu tions of the equation, sin-1 x=2 tan-1 x (i11principal values) is: 1) 2) 3) 1 4 2 3 correct answer is 4 4) 0.84 Fora>o,tE(O, y = )acos-1 1) _.: ;}Ietx t . = .in ks Jasm-', and l~hen, 1 + dx (dyr equals: 2) 3) .,.J+l" correct answer is 4 0.85 if p, q, rare 3 real numbers satisfying the '-3 4 1 rna trix equa tion, [p q r] 3 2 3 = [3 0 I], 2 0 ? 'then 2p+q-r 1) 2) 3) -;) w 4) ~, " -1 4 4) 2 correct answer is 1 w equals : www.100marks.in -r w .1 ;r 00 7 .. m ar 0.86 1\ If 1\ ~I b and ~ are unit vectors satisfying a - .J3 b + c = 1\ 1\ ---7 0 I then 1\ 1\ the IS: angle between the vectors a and c 1) l!. 4 2) 3) 4) 3' 'IT 'IT "6 .::. 2 correct answer is 2 0.87 Let tile equations of two ellipses be ? ? xyEl : - + - = 1 and 3 2 16 w E2 : - + -2 = b w ? x- y2 w eccentricities is 2' then the length of the minor axis of ellipse E2 is : 1) 8 2) 3) 9 4 2 correct answer is 3 4) www.100marks.in .1 1 If th.e product of their 1 00 m ar ks .in 0.88 If a and 13 are roots of the equation .?+px+ 4 3p = 0.r such that la- 131 = .JW, then p belongs to the set: 1) 2) 3) 4) [2, - 5} {- 3, 2) (- 2, 51 { 3, - S} correct answer is 3 0.89 Statement 1 . . solutions The number of common of the trigonometric equations 1) 2) 3) 4) ~_,,'l....... ~m! n.' .. 't._............. _l. .......... ,_Il .... ' ..... _ ..,'_"''':-&oo_IL ~I"",""""_I "'41'''II'W''!''. ~"''''''I SIJtclUtnt (1'1,It." 1 b (JboJ • StJtt'llll. ....1 2 b: ~""'n,",1 (t1~. I i.. h'\!c ; ~h,ernwN 2 i!I correct answer is 2 w interval [OJ 1TJ is two. w w of the equation, 2 cos2S - 3 sinf = 0 in the www.100marks.in .1 00 Statement 2 : The number of solutions m ar in the interval [0, ?'1T] is two : ks 2 sin2e - cos2e = 0 and 2 cos2e - 3 sine = 0 .in Q.90 Let f (x) = -1 + Ix- 21/ and g(x) = 1 -Ixl ; then the set of all points where fog is discontin uous is : 1) 2) 3) 10. 2) 10.1.2) to} an empty set 4) correct answer is 4 w w w www.100marks.in .1 00 m ar ks .in