IIT-JEE 2011 1st Test Series, Paper2 1 www.vidyadrishti.com An educational portal for future IITians Name Reg. No. PAPER 2 INSTRUCTIONS A. General: 1. This Question Paper contains 26 pages having 66 questions. 2. The question paper CODE is printed on the right hand top corner of this sheet and also on the back page (page no. 32) of this booklet. 3. No additional sheets will be provided for rough work. 4. Blank papers, clipboards, log tables, slide rules, calculators, cellular phones, pagers and electronic gadgets in any form are not allowed. 5. Log and Antilog tables are given in page numbers 30 and 31 respectively. 6. The answer sheet, a machine-gradable Objective Response Sheet (ORS), is provided separately. 7. Do not Tamper /Mutilate the ORS or this booklet. 8. Do not break the seals of the question – paper booklet before instructed to do so by the invigilators. B. Filling the bottom-half of the ORS: 9. The ORS has CODE printed on its lower and upper Parts. 10. Make sure the CODE on the ORS is the same as that on this booklet. If the Codes do not match, ask for a change of the Booklet. 11. Write your Registration No., Name and Name of centre and sign with pen in appropriate boxes. Do not write these anywhere else. 12. Darken the appropriate bubbles under each digit of your Registration No. with HB Pencil. C. Question paper format and Marking scheme: 13. The question paper consists of 3 parts (Physics, Chemistry and Mathematics). Each part consists of four Sections. 14. For each question in Section I: you will be awarded 5 marks if you darken only the bubble corresponding to the correct answer and zero mark if no bubbles are darkened. In all other cases, minus two (−2) mark will be awarded. 15. For each question in Section II, you will be awarded 3 marks if you darken only the bubble corresponding to the correct answer and zero mark if no bubbles are darkened. Partial marks will be awarded for partially correct answers. No negative marks will be awarded in this Section. 16. For each question in Section III: you will be awarded 3 marks if you darken the bubble corresponding to the correct answer and zero mark if no bubbles are darkened. No negative marks will be awarded for incorrect answers in this Section. 17. For each question in Section IV: you will be awarded 2 marks for each row in which your darkened the bubbles(s) corresponding to the correct answer. Thus each question in this section carries a maximum of 8 marks. There is no negative marks awarded for incorrect answer(s) in this Section. IIT-JEE 2011 1st Test Series, Paper2 2 www.vidyadrishti.com An educational portal for future IITians PHYSICS SECTION – I (Single Correct Choice Type) This Section contains 6 multiple choice questions. Each question has four choices A), B), C) and D) out of which ONLY ONE is correct. 1. If ,,abc are three non zero, non coplanar vectors and 1222122222123222242, ||,||,||||,||||,||||.||babbaababbaacacbccababcacbccababcacbccababcacaaa⋅=−⋅=+⋅⋅=−−⋅⋅=−−⋅⋅=−−⋅=− Then which of the following is a set of mutually orthogonal vectors: (a) 111{,,}abc (b) 12{,,}abc (c) 23{,,}abc (d) 24{,,}abc SPACE FOR ROUGH WORK IIT-JEE 2011 1st Test Series, Paper2 3 www.vidyadrishti.com An educational portal for future IITians 2. If force F is increasing with time and at t = 0, F = 0, where will slipping first start? (a) between 3 kg and 2 kg (b) between 2 kg and 1 kg (c) between 1 kg and ground (d) insufficient data to answer 3. A cubical block of mass 1 kg and edge 10 cm slides down a rough inclined plane of inclination 300 with a uniform speed 1 m/s. Find the torque of the normal acting on the block about its centre. Take g = 10 m/s2. a) zero b) 1 N-m c) 12N-m d) 14N-m 4. Two identical balls are rolling without slipping on a horizontal plane as shown in figure. They undergo a perfectly elastic collision. Just after the collision the speeds of bottom points of balls A and B will be respectively (assume that there is no friction between the balls). (a) 0, 0 (b) 2v0, 4v0 (c) 3v0, 3v0 (d) None of these SPACE FOR ROUGH WORK F 1kg 2kg 3kg 𝝁𝝁 = 0.5 𝝁𝝁 = 0.3 𝝁𝝁 = 0.1 2v0 2 ω0 v0 ω0 IIT-JEE 2011 1st Test Series, Paper2 4 www.vidyadrishti.com An educational portal for future IITians 5. A boy is pulling a block of mass 20 kg on a smooth horizontal floor as shown in figure. The boy is applying a constant force of 100 N on the rope. If the block starts from rest, its speed after the boy has moved a distance of 10 m will be (a) 5 m/s (b) 10 m/s (c) 20 m/s (d) Data insufficient. 6. The gravitation field in a region is given by ()23Eij=+N/kg. Find the work done by gravitational field when a particle is moved along the line 3y + 2x = 5. a) zero b) 1 J c) 5 J d) 2.5 J SPACE FOR ROUGH WORK IIT-JEE 2011 1st Test Series, Paper2 5 www.vidyadrishti.com An educational portal for future IITians SECTION – II (Multiple Correct Choice Type) This section contains 4 multiple choice questions. Each question has four choices A), B), C) and D) out of which ONE OR MORE may be correct. 7. A sphere of mass 1 kg moving with a velocity ()4ij− m/s hits a wall and rebounds with velocity ()3ij+ m/s. Choose correct option/s. (a) Impulse received by sphere is ()34ij−+ kg m/s (b) The speed of approach of the sphere to the wall is 165 m/s (c) The speed of separation of the sphere to the wall is 95 m/s (d) The coefficient of restitution between the sphere and the wall is 169. 8. Let CN represents a circle of radius N m having centre at the origin (where N is a natural number). A particle starts from origin at t = 0 and moves along axis. At t = 1 s, it reaches circle C1 and moves 1 m in anticlockwise manner on circle C1 for next 1 s. At t = 2 s it starts moving in radially outward direction and reaches C2 at t = 3 s. Then it moves 1 m on circle C2 in anticlockwise manner for next 1 s. This process goes on. Choose correct option/s. a) The angular position of the particle at t = 20 s w.r.t. x-axis is 10 rad. b) Magnitude of average angular velocity between t = 1s to t = 21 s is 0.5 rad/s. c) Particle will cross x-axis for the first time after = 15 s. d) Linear displacement of particle between t = 0 to t = 15s is 6 m along x-axis. SPACE FOR ROUGH WORK IIT-JEE 2011 1st Test Series, Paper2 6 www.vidyadrishti.com An educational portal for future IITians 9. A particle travels along the path y = a + bx + cx2, where a, b and c are constants. If the speed of the particle is constant, v = v0, then at x = 0 (a) x component of velocity is v0 (b) y component of velocity is bv0 (c) Normal component of acceleration is zero (d) Tangential component of acceleration is zero 10. Consider two discs rolling without slipping towards each other. Speed of centre of mass of each disc at a particular instant is v. Choose the correct option/s. a) APvv= b) ARPCvv=− c) AQPCvv> d) AQQRPBBCvvvv−=− SPACE FOR ROUGH WORK Q v v A B C P R IIT-JEE 2011 1st Test Series, Paper2 7 www.vidyadrishti.com An educational portal for future IITians SECTION-III (Integer Type) This section contains TEN questions. The answer to each question is a single digit integer ranging from 0 to 9. The correct digit below the question number in the ORS is to be bubbled. 11. A block of mass 2 kg is kept on a horizontal table. If the static friction coefficient is 0.2, find the frictional force in N acting on the block. 12. A coin is placed on rotating turntable just slips if it is placed at a distance of 4 cm from the centre. Find the distance in cm where it slips when angular velocity of the turntable is doubled. 13. Four particles are situated at the corners of a square of side 1 m move at constant speed 0.5 m/s. Each particle maintains a direction towards the particle at the next corner. Calculate the time in seconds the particles will take to meet each other. 14. A block of mass 6 kg is suspended through two light spring balances as shown in figure. Find the reading of the upper scale in kg. SPACE FOR ROUGH WORK IIT-JEE 2011 1st Test Series, Paper2 8 www.vidyadrishti.com An educational portal for future IITians 15. A particle is moving along a straight line with acceleration a = 3v – 5, where v is in m/s and a is in m/s2. The velocity of the particle at t = 0 is 53m/s. Determine the distance travelled in m by the particle in t =65 s. 16. A particle of mass 500 g is moving horizontally with a constant velocity 1 m/s towards a rigid wall that is moving in opposite direction with a constant speed 2 m/s. Assuming elastic impact between the particle and wall, find the average work in J done by the wall in reflecting the particle. 17. An elastic ball of mass ½ kg is suspended from a fixed point by an inextensible string. A small particle of same mass moving downwards at an angle of 370 with the vertical hits the ball directly with the velocity 17 m/s. If the coefficient of restitution is 4/5, then determine the impulsive tension (i.e. impulse) in N in the string at the instant of collision. 18. Two blocks each of mass m kg are connected by a spring constant k N/m. A horizontal force F is applied to block A at t = 0 as shown in figure. Initially at t = 0 the spring is in natural state. At t = t0, the elongation in spring is x0 m, then the displacement of block A (in m) from t = 0 to t0 s as seen from ground frame of reference is 200.24xFtmβ+ Determine the value of β? Assume all surfaces to be smooth. 19. For a cubical block, error in measurement of sides is ± 1% and error is measurement of mass is ± 2%. Determine the maximum percentage error in measurement of density? IIT-JEE 2011 1st Test Series, Paper2 9 www.vidyadrishti.com An educational portal for future IITians 20. In the arrangement shown in the figure below at a particular instant the roller is coming down with a speed of 12 m/s and C is moving up with 4 m/s. At the same instant it is also known that wrt pulley P, block A is moving down with speed 3 m/s. Determine the velocity of block B (in m/s) wrt ground. SPACE FOR ROUGH WORK A P B 12 m/s 4 m/s C IIT-JEE 2011 1st Test Series, Paper2 10 www.vidyadrishti.com An educational portal for future IITians SECTION-IV (Matrix Match Type) This Section contains 2 questions. Each question has four statements (A, B, C and D) given in Column I and five statements (p, q, r, s and t) in Column II. Any given statement in Column I can have correct matching with one or more statement(s) given in Column II. For example, if for a given question, statement B matches with the statements given in q and r, then for that particular question, against statement B, darken the bubbles corresponding to q and r in the ORS. 21. A particle moving in horizontal plane along a curve whose equation in polar co-ordinates is r = 2acosθ Column I Column II (A) If 5ddtθ= rad/s and θ = 60o, then (P) 2100(12) m/s3Na=+ (B) If v = 10a m/s and θ = 30o , then (Q) 250 m/s3Taa= (C) If 22253ddtθ= and θ = 45o , then (R) 2100 m/sNaa= (D) If ω = 10 rad/s and 2πθ= rad, then (S) 250 m/s23Taa=+ (T) aT = 0 m/s2. SPACE FOR ROUGH WORK IIT-JEE 2011 1st Test Series, Paper2 11 www.vidyadrishti.com An educational portal for future IITians 22. Two particles A and B are moving in two concentric circles of radii rA and rB respectively in same plane. The angular velocity of A is ωA and B is ωB. At t = 0, both are in same phase. Match Column I and Column II. Column I Column II (A) ωA = ωB = ω and 2rA = rB = r then relative angular velocity of B w.r.t. A at t = 0 is (P) 52ω (B) ωA = 2ωB = ω and rA = 2rB = r then relative angular velocity of B w.r.t. A at t = 0 is (Q) ω (C) ωA = ωB/2= ω and rA = rB/3 = r then relative angular velocity of B w.r.t. A at t = 0 is (R) zero (D) If ω = 10 rad/s and 2πθ= rad, then (S) 2ω (T) 32ω SPACE FOR ROUGH WORK IIT-JEE 2011 1st Test Series, Paper2 12 www.vidyadrishti.com An educational portal for future IITians CHEMISTRY SECTION – I (Single Correct Choice Type) This Section contains 6 multiple choice questions. Each question has four choices A), B), C) and D) out of which ONLY ONE is correct. 1. If the solubility constant of Cu3(PO4)2 is 1.3 x 10-37 then what is the potential of the following cell at 25℃? [Given: 2/0.34]CuCuEV+=+ Pt(s)| H2(g)| HCI(aq), pH = 0 ||Cu3(PO4)2 )aq) std. |Cu(s) (a) 0.059 V (b) 0.12 V (c) 0.19 V (d) 0.27 V 2. 1.0 g of a monobasic acid HA in 100 g water lowers the freezing point by 0.155 K. If 0.75 g of same acid requires 15 mL of 5N NaOH solution for complete neutralization then per cent degree of ionisation of acid is (kf of H2O = 1.86 K kg mol-1) (a) 20% (b) 25% (c) 40% (d) 50% 3. Which of the following reaction has zero activation energy? (a) 4311CHCCHHC••+→+ (b) 2121CC•→ (c) 3333CHCHCHCH•+→− (d) 331111CHCCCHCC••+−→−+ SPACE FOR ROUGH WORK IIT-JEE 2011 1st Test Series, Paper2 13 www.vidyadrishti.com An educational portal for future IITians 4. A certain reaction proceeds in a sequence of three elementary steps with the rate constants, k1, k2 and k3. If the observed rate constants, kobs. Of the reaction is expressed as 1/21obs32..kkkk== The observed energy of activation of the reaction is (a) 13212EEE+ (b) 312EE+ (c) 1/2132EEE (d) 3121[]2EEE+− 5. In which of the following triplets all the three members are diamagnetic? (a) (B2, CO, NO+) (b) (Cu+,O22-,O2) (c) (N22-,O++2,NO-) (d) (O3,N22+,N2O) SPACE FOR ROUGH WORK IIT-JEE 2011 1st Test Series, Paper2 14 www.vidyadrishti.com An educational portal for future IITians 6. The dipole moment of is μ0. The dipole moment of (a) is 6 μ0. (b) is 023µ (c) is μ0 (d) is 023µ Cl Cl Cl Cl Cl Cl Cl Cl Cl Cl Cl Cl Cl Cl Cl Cl Cl Cl IIT-JEE 2011 1st Test Series, Paper2 15 www.vidyadrishti.com An educational portal for future IITians SECTION – II (Multiple Correct Choice Type) This section contains 4 multiple choice questions. Each question has four choices A), B), C) and D) out of which ONE OR MORE may be correct. 7. In C3F4 structure which is correct? (a) Each carbon is sp hybridised (b) The π-electron density of both double bonds lie in parallel planes (c) The molecules has zero dipole moment (d) The ratio of number of sp3 hybridised atom is 4 : 2 : 1. 8. Which of the following statements are correct? (a) Average velocity of molecules of a gas in a container is zero. (b) All molecules in a gas are moving with the same speed. (c) If an open container is heated from 300 K to 400 K, fraction of air which goes out with respect to originally present is 1.4 (d) If compressibility factor of a gas at STP is less than unity its molar volume is less than 22.4 L at STP. 9. A solution contains 0.01 M Zn2+ and Cu2+ ions. It is saturated by passing H2S gas in the solution. The S2-ion concentration is 9.2 x 10-22 M. The solubility products of ZnS and CuS are 3.0 x 10-22 and 8.0 x 10-36 respectively. Which of the following is true? (a) ZnS will precipitate (b) CuS will precipitate (c) Both ZnS and CuS will precipitate (d) Both Zn2+ and Cu2+ will remain in the solution 10. Which is/are wrong about P4O10 molecule? (a) Each P atom can be considered to be sp3 hybridised (b) There are four P – P bonds in the molecule (c) There are two types of P – O bond lengths (d) POP angle is 180o IIT-JEE 2011 1st Test Series, Paper2 16 www.vidyadrishti.com An educational portal for future IITians SECTION-III (Integer Type) This section contains TEN questions. The answer to each question is a single digit integer ranging from 0 to 9. The correct digit below the question number in the ORS is to be bubbled. 11. In solid NH3, each NH3 molecule has six other NH3 molecules as nearest neighbours. ∆H of sublimation of NH3 at the melting point is 30.4 KJ mol-1 and the estimated ∆H of sublimation in the absence of H-bonding is 15.4 KJ mol-1. What is the strength of a hydrogen bond in solid ammonia (in KJ mol-1)? 12. The specific heat of a gas at constant volume is 0.075 cal/g. If molar mass of gas is 40 g mol-1, find the atomicity of the gas. 13. The rate of a reaction depends on concentration according to the reaction as follows: 121kCdCdtkC−=+ The order of the reaction when concentration is very high, is (a) 0 (b) 1 (c) 2 (d) 3 14. The conductivity of saturated solution of CO2[Fe(CN)6] is 2.06 x 10-6 Ω-1 cm-1 and that of water used is 4.1 x 10-7 Ω-1 cm-1. The ionic molar conductivities of Co2+ and Fe(CN)4-6 are 86.0 Ω-1 cm2 mol-1 and 444.0 Ω cm2 mol-1 respectively. Thus the solubility product of CO2[Fe(CN)6] in water is M x 10-17 (mol dm-3)3. What is the value of M? 15. The heat released on neutralization of a strong alkali say NaOH with strong acid is 13.7 kcal/mol. The heat released on neutralization of NaOH with HF is -16.4 kcal/mol. Calculate ∆Ho of ionization of HF in water. SPACE FOR ROUGH WORK IIT-JEE 2011 1st Test Series, Paper2 17 www.vidyadrishti.com An educational portal for future IITians 16. When 2 g of a gaseous substance A is introduced into an initially evacuated flask at 25℃, the pressure is found to be 1 atm. 3 g of another, non-reacting gaseous substance B is then added to it at the same temperature and pressure. The final pressure is found to be 1.5 atm. Find molecular mass ratio MB : MA. 17. Density of equilibrium mixture of N2O4 and NO2 at 1 atm and 384 K is 1.84 g dm-3. What is the equilibrium constant for the decomposition of N2O4? 18. Suppose a particle has found quantum numbers such that the permitted values are those as given below: n = 1, 2, 3,… l : (n – 1), (n – 3), (n – 5) … but no negative number 1:2jl+ or 12l− id the latter is not negative m : -j in integer steps to +j Thus, how many particles could be fitted into the n = 2 shell? (a) 4 (b) 6 (c) 8 (d) 12 19. The energy required to dislodge electron from Li2+ is sufficient to ionize how many H – atoms? 20. Two mole of C10H22O6(A) on reaction with excess CH3MgBr gives 89.6 litres of CH4 at NTP. The number of OH groups in (A) are (a) 1 (b) 2 (c) 3 (d) 4 SPACE FOR ROUGH WORK IIT-JEE 2011 1st Test Series, Paper2 18 www.vidyadrishti.com An educational portal for future IITians SECTION-IV (Matrix Match Type) This Section contains 2 questions. Each question has four statements (A, B, C and D) given in Column I and five statements (p, q, r, s and t) in Column II. Any given statement in Column I can have correct matching with one or more statement(s) given in Column II. For example, if for a given question, statement B matches with the statements given in q and r, then for that particular question, against statement B, darken the bubbles corresponding to q and r in the ORS. 21. Consider the following figure of cyclic process with two moles of a monoatomic gas. 24BDAAVVVV== Match the process with their characteristics, Column I A (Thermodynamic Processes) Column II (Characterstics) (A) A → B (P) Expansion (B) B → C (Q) Compression (C) C → D (R) W < 0 (D) D → A (S) ∆U = 0 (E) ABCDA (T) Isobaric (U) isothermal SPACE FOR ROUGH WORK VB VA VD V TB 0 TA T B D C IIT-JEE 2011 1st Test Series, Paper2 19 www.vidyadrishti.com An educational portal for future IITians 22. Match the following: Column I Column II (A) 2H2O2 → 2H2O2 + O2 Rate = k[H2O2] (P) (B) 322132323[]1[]PtNHNHkNHRatekNH→+=+ [High concentration of NH3] (Q) (C) 322132323[]1[]PtNHNHkNHRatekNH→+=+ [Very low concentration of NH3] (R) n = 1,2,… (D) 2CH3CHO → 2CH4 + CO Rate = k[CH3CHO]2 (S) SPACE FOR ROUGH WORK a t1/2 a t1/2 (a – x)n dx/dt Time In (A) IIT-JEE 2011 1st Test Series, Paper2 20 www.vidyadrishti.com An educational portal for future IITians MATHEMATICS SECTION – I (Single Correct Choice Type) This Section contains 6 multiple choice questions. Each question has four choices A), B), C) and D) out of which ONLY ONE is correct. 1. The reflection of the complex number (2 – i) in the straight line izz= is (a) 4 – 3i (b) 3 + 4i (c) 2 + i (d) 1 – 2i 2. If A, G < H be respectively the AM, GM and the HM between two positive numbers and if xA = yG = zH where x, y, z are non zero positive quantities, then x, y, z are in (a) AP (b) GP (c) HP (d) AGP 3. A quadratic equation f(x) = ax2 + bx + c = 0 (a ≠ 0) has positive distinct roots reciprocal of each other. Which one is correct? (a) f’(1) = 0 (b) af’ (1) < 0 (c) af’ (1) > 0 (d) nothing can be said about af’ (1) SPACE FOR ROUGH WORK IIT-JEE 2011 1st Test Series, Paper2 21 www.vidyadrishti.com An educational portal for future IITians 4. If 44sectan1,xxpqpq+=+ where p, q ≠ 0, then (a) |q| = |p| (b) |q| ≤ |p| (c) |q| ≥ |p| (d) p, q can be any real no 5. If x1, x2, …, xn are in H.P. and 1niiSx==∑ then 1212,,...,nnxxxSxSxSx−−− are in (a) A.P (b) G.P (c) H.P (d) A.G.P 6. In a ∆ ABC, if 5tan26A= and tan20,237B= then (a) a > b > c (b) a < b < c (c) b < c < a (d) c > a > b SPACE FOR ROUGH WORK IIT-JEE 2011 1st Test Series, Paper2 22 www.vidyadrishti.com An educational portal for future IITians SECTION – II (Multiple Correct Choice Type) This section contains 4 multiple choice questions. Each question has four choices A), B), C) and D) out of which ONE OR MORE may be correct. 7. If sum of the arguments of all the roots of the equation zn = k (k is real) is odd multiple of π, then it can be true when a) n is odd and k > 0 b) n is odd and k < 0 c) n is even and k > 0 d) n is even and k < 0 8. If a, b, c are in H.P., then the value of 111111abccab+−+−is a) 221bcb− b) 2213214ccaa+− c) 232bab− d) none 9. Let a, b, c be real numbers with a ≠ 0 and let α, β be the roots of the equation ax2 + bx + c = 0. Then the roots of the equation a3x2 + abcx + c3 = 0 in terms of α, β are a) α2β b) α3 c) β3 d) α, β2 10. Let z1 and z2 be complex numbers such that z1 ≠ z2 and | z1|=| z2|. If z1 has positive real part and z2 has negative imaginary part, then 1212zzzz+− may be a) zero b) real and positive c) real and negative d) purely imaginary SPACE FOR ROUGH WORK IIT-JEE 2011 1st Test Series, Paper2 23 www.vidyadrishti.com An educational portal for future IITians SECTION-III (Integer Type) This section contains TEN questions. The answer to each question is a single digit integer ranging from 0 to 9. The correct digit below the question number in the ORS is to be bubbled. 11. If cos (k sin x) = sin (k cos x), then find the minimum value of 42kπ. 12. Find the value of k for which the equation k2 – 2k + sec2 π (k + x) = 0. 13. Find the minimum value of 93. 27cos2x. 81sin2x. 14. Find the no. of solutions of equation 16(x2 + 1) + π2 = |tan x| + 8πx in the interval 3,22ππ− . 15. The number of ordered triplets (x, y, z) satisfying (1+sin4x)(2+cot2y)(4+sin4z) ≤ 12sin2x and x, y, z, ∈ [0, 2π] is p. Find the value of p/4. 16. If x > 0 then find the minimum value of 331.xx+ 17. In an A.P. tP = q and tq = p then find the value of tp + q 18. If 221411(41)(43)75nrrrr=+>−+∑ then find the least possible value of n ∈ N. 19. Find the integral solution for x : (x – i) x = 2x where 1.i=− 20. Find the value of |P| for which sin θ = P has a unique value in 130,.16π SPACE FOR ROUGH WORK IIT-JEE 2011 1st Test Series, Paper2 24 www.vidyadrishti.com An educational portal for future IITians SECTION-IV (Matrix Match Type) This Section contains 2 questions. Each question has four statements (A, B, C and D) given in Column I and five statements (p, q, r, s and t) in Column II. Any given statement in Column I can have correct matching with one or more statement(s) given in Column II. For example, if for a given question, statement B matches with the statements given in q and r, then for that particular question, against statement B, darken the bubbles corresponding to q and r in the ORS. 21. Let ABC be a triangle with G1, G2, G3 be the mid points of BC, AC and AB respectively. Also, let M be the centroid of the triangle. It is given that the circumcircle of ∆ MAC touches the side AB of the triangle at point A. Column I Column II (A) 1AGb= (P) 23 (B) Maximum value of nnSCAMSCBM∠+∠= (Q) 32 (C) 222abc+= (R) 2 (D) If (sinsin)CAMCBM∠+∠ is maximum, then 2cab= (S) 2 (T) zero SPACE FOR ROUGH WORK IIT-JEE 2011 1st Test Series, Paper2 25 www.vidyadrishti.com An educational portal for future IITians 22. Column I Column II (A) The set of all x in ,22ππ− satisfying |4sin1|5x−< is ,1010abππ then (b – a) (P) 1 (B) The equation cos 2x + p sin x = 2p – 7 possesses a solution, then number of integral values, of p, satisfying the equation is (Q) 4 (C) The number of solution of the equation 1|cot|cotsinxxx=+ in (0, π) is (R) 5 (D) The ratio of greatest value of 2 – cos x + sin2 x to its least value is ,4k then k is equal to (S) 13 (T) 0 SPACE FOR ROUGH WORK IIT-JEE 2011 1st Test Series, Paper2 26 www.vidyadrishti.com An educational portal for future IITians SPACE FOR ROUGH WORK Send your feedback to www.vidyadrishti.com/feedback.php