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60. <strong>Point</strong> out the incorrect statement about resonance(A) Resonance structure should have equal energy(B) In Resonance structure, the constituent atomsshould be in the same position(C) In Resonance structure there should not be samenumber of electron pairs(D) Resonance structure should differ only in thelocation of electrons around the constituentatomsMATHEMATICS61. If the angles of elevation of an aeroplane from twopoints 1 km apart be 60º and 30º, then the height ofthe aeroplane is -500(A) 500m(B) m3(C)2000 m (D) None362. Suppose a population A has 100 observations 101,102, ..........200 and another population B has 100observations 151, 152, ......... 250. If V A and V Brepresents the variances of the two populationVArespectively then is -V(A) 49(C) 32B(B) 94(D) 163. If vertices of a triangle are (1, 0), (2, b) & (c 2 , – 3)then centroid of triangle(A) can lie on y axis (B) always lie on x axis(C) lie on x axis if a + b = 3(D) lie on y axis if c =3 only64. The value of k in order thatf(x) = sin x – cos x – kx + b decreases for all realvalues is given by :(A) k < 1 (B) k ≥ 1(C) k > 2 (D) k < 2x65. x lim e 2 – cos x→ 0 2xis equal to -(A) 3/2 (B) 1/2(C) 2/3(D) None66. If ∆ =3aaa1233bbb123a + 2b − 3caa12+ 2b+ 2b121− 3c− 3c23ccc123bbb123, then(A) ∆(B) 2∆(C) – 3∆ (D) 0ccc123is equal to -67. In a ∆ABC, angle A is greater than angle B. If themeasures of angles A and B satisfy the equation 3sinx – 4 sin 3 x – k = 0, 0 < k < 1, then the measure ofangle C is -(A) 3π(B) 2π(C)2π3(D)5π668. If the p, q, r have truth values.F, F, T then the statement(p ↔ q) ∨ ~ r → (p ∧ r) will be(A) T (B) F (C) T, F (D) None69. The statement (p ∨ q) ↔ (q ∧ ~ p) is a(A) Tautology(B) Contradiction(C) Neither tautology nor contradiction(D) None of these70. If n th term of sequence12 ,271 ,131 20 51 , , .... is9 23 17then value of n is -(A) 20 (B) 10 (C) 5 (D) 1371. The ratio in which plane 2x – k = 0 divides the linejoining (–2, 4, 7) & (3, – 5, 8) is 9 : 1 then k equal to-(A) 4 (B) 5 (C) 6 (D) 772. If |a| = 2, |b| = 5 and |a × b| = 8 then |a – b| is equal to:(A) 12 (B) 15 (C) 17 (D) 573. The extremities of a line segment of length 6 move intwo fixed perpendicular lines. If locus of a point Pwhich divides this line segment in ratio 1 : 2 is anellipse then eccentricity of this ellipse is -(A) 21(B)12(C)32(D)74. The value of p such that the vertex of parabolay = x 2 + 2px + 13 is 4 units above x-axis & lies infirst quadrant is :(A) 3 (B) 4 (C) ± 3 (D) – 334XtraEdge for IIT-JEE 74APRIL 2010
75. If the lines represented by x 2 + 2λx + 2y 2 = 0 & linesrepresented by (1 + λ)x 2 – 8xy + y 2 = 0 are equallyinclined then λ equals :(A) – 2 (B) + 2(C) ± 2 (D) ± 484. In a class of 100 students there are 70 boys whoseaverage marks in a subject are 75.If the averagemarks of the complete class is 72, then what is theaverage of the girls.(A) 73 (B) 65(C) 68 (D) 7485. A letter is taken at random from the letters of word'STATISTICS' and a another letter is taken at randomfrom letters of word 'ASSISTANT'. The probabilitythat they are the same letter is -4(A) 1/45 (B) 13/90(C) 19/0 (D) 5/1886. If A = {x : x ∈ I ; – 2 ≤ x ≤ 2}2Β = { x : x ∈ I ; 0 ≤ x ≤ 3}(A) 2 (B) – 3C = {x : x ∈ N ; 1 ≤ x ≤ 2} and(C) – 5(D) NoneD = {(x, y) ∈ N × N; x + y = 8} then -(A) n(A ∪ (B ∪ C)) = 5 (B) n(D) = 6(C) n(B ∪ C) = 5 (D) None of these87. <strong>Solution</strong> of sec 2 dyy + 2x tan y = x 3 is -dx2x(A) tan y = ce − + (x 2 – 1)∫ 22–1xf (g(x)) f 'g(x). g'(x) dx where (B) tan y = ce − + (x 2 – 1)12xg(1) = g(2) is equal to -(C) tan y = ce − – (x 2 – 1)(A) 1 (B) 2(D) None of these(C) 0(D) None88. The equation of common tangent to the curves2 2x + sin xy 2 = 8x and xy = –1 is -sec 2 x dx and f(0) = 0 then2(A) 3y = 9x + 2 (B) y = 2x + 11 xf(1) =(C) 2y = x + 8 (D) y = x + 2(A) 1 – π/4 (B) π/4 – 1(C) tan1 – π/4 (D) None of these89. Let f be twice differentiable function such thatf "(x) = – f(x) and f '(x) = g(x)sec 1 xh(x) = (f(x)) 2 + (g(x)) 2 . If h(5) = 11is -x −[x]then h(10) is equal to(A) R(B) R – {(– 1, 1)I}(A) 22 (B) 11(C) R – I (D) R – [0, 1)(C) 0(D) None90. We are required to from different words with the help(A) D f = [– 1, 1] (B) R f = {–π/2, π/2}of letter of the word INTEGER. Let m 1 , be the(C) R f = {π/2} (D) None of thesenumber of words in which I and N are never togetherand m 2 be the number of words which begin withm1I and end with R. Thenm2is given by -76. locus of centre of a variable circletx 2 + ty 2 + 2(t 2 + 1)x – 2(t 2 – 1)y + t = 0 is a :(A) Straight line (B) Parabola(C) Ellipse(D) Hyperbola477. If∫f (x) dx = 4 and (3 f (x))− 1 ∫− dx = 7 then the2value of∫ 4f (x) dx is -78. Bisector of angle between lines 2x + y – 6 = 0 &4x – 2y + 7 = 0 which contains origin is -(A) acute angle bisector ; x = 5/8(B) acute angle bisector ; y = 19/4(C) obtuse angle bisector ; x = 5/8(D) obtuse angle bisector ; y = 19/479. The value of [ ]80. If f(x) =∫+81. The domain of the function f(x) =82. Let f(x) = sin –1 x + sec –1 x, then -83. If z 1 , z 2 , z 3 represents the vertices of an equilateraltriangle such that|z 1 | = |z 2 | = |z 3 | then -(A) z 1 + z 2 = z 3 (B) z 1 + z 2 + z 3 = 0(A) 30 (B) 1/30(C) 6 (D) 42XtraEdge for IIT-JEE 75APRIL 2010
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Volume - 5 Issue - 10April, 2010 (M
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Volume-5 Issue-10April, 2010 (Month
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Hospital in Parel and ApolloHospita
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KNOW IIT-JEEBy Previous Exam Questi
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CHEMISTRY6. From the following data
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(ii)OHH + CH 3OH⊕PorClPClClOCH 3O
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Physics Challenging ProblemsSet #12
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8 QuestionsSolutionSet # 11Physics
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8 QuestionsSolutionSet # 12Physics
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PHYSICSSStudents'ForumExpert’s So
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If the body loses this heat in time
Page 26 and 27: Perfect gas equation :From the kine
Page 28 and 29: The internal energy of n molecules
Page 30 and 31: * The binding energy per nucleon is
Page 32 and 33: KEY CONCEPTOrganicChemistryFundamen
Page 34 and 35: KEY CONCEPTPhysicalChemistryFundame
Page 36 and 37: UNDERSTANDINGOrganic Chemistry1. An
Page 38 and 39: The starting compound (A) reacts wi
Page 40 and 41: `tà{xÅtà|vtÄ V{tÄÄxÇzxá12Se
Page 43 and 44: MATHEMATICAL CHALLENGESSOLUTION FOR
Page 45 and 46: A 2 ⎛ 3s − 2s ⎞ s≤ s ⎜
Page 47 and 48: 5. Let z 1 , z 2 and z 3 are unimod
Page 49 and 50: If I n =∫x n . e ax dx, then I n
Page 51 and 52: The common difference of an A.P. is
Page 53 and 54: XtraEdge for IIT-JEE 51APRIL 2010
Page 55 and 56: 4. Consider the following reactions
Page 57 and 58: 15. What would be the structure of
Page 59 and 60: 14. If line lies inside the region
Page 61: 6. A BTwo containers A & B contain
Page 64 and 65: MOCK TEST FOR IIT-JEEPAPER - IITime
Page 66 and 67: SECTION - IVInteger answer typeThis
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Page 70 and 71: (C) Pressure at A > pressureat B(D)
Page 72 and 73: 7. Experimental verification of New
Page 74 and 75: 28. Assertion : A rocket moves forw
Page 78 and 79: MOCK TEST - BIT-SATTime : 3 Hours T
Page 80 and 81: 22. The displacement of interfering
Page 82: 40. A body of mass 2 kg is being dr
Page 85 and 86: 10. The foci of a hyperbola coincid
Page 87 and 88: LOGICAL REASONING1. Fill in the bla
Page 89 and 90: SOLUTION FOR MOCK TESTIIT-JEE (PAPE
Page 91 and 92: or 0.1 v α + 1 = 2 + 2 × 10 -2 ×
Page 93 and 94: 12.[A, B, C, D]13.[B]2x t − 5t +
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Page 97 and 98: 1.[C]2.[B]3.[B]SOLUTION FOR MOCK TE
Page 99 and 100: 5.[A,B,D] We have adj A = |A| A -1a
Page 101 and 102: (1, 1)7λ 5.5× 10t min = =P4n 4×1
Page 103 and 104: K TFor a cylinder = 2 in case ofK R
Page 105 and 106: ∴17.[C]Potential of shell A is,1
Page 107 and 108: 39.[B] Solution is decinormal, that
Page 109 and 110: 71.[B]which is a H.P.n th term of c
Page 111 and 112: 85.[C] Letters of word 'STATISTICS'
Page 113 and 114: 13. [B] Point P lies on the arms CD
Page 115 and 116: 33. [B] For quarter revolution∆ V
Page 117 and 118: 16.[A]NH 2⎯ 0−5°C+ NaNO 2 + 2H
Page 119 and 120: 11.[B]→ →∴ α & β are two mu
Page 121 and 122: 1/ 21 -2∫2 x 2 dx⇒⇒01 2 - 3 2
Page 124 and 125: 8.[A]9.[A]10.[B]To take off :irrele
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CAREER POINTIn associationwithLaunc
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