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27. The area bounded by the curves y = 2x 2 | x |& y = xand x = 0 is equal to2 2 2(A) (B) 3 6(C)26(D) None28. Order and degree of the differential equationy " = (y´+ 3) 1/3 are respectively(A) 2, 2 (B) 2, 3 (C) 3, 2 (D) None29. If x 18 = y 21 = z 28 then 3, 3 log y x, 3 log z y, 7 log x z arein(A) A.P. (B) G.P. (C) H.P. (D) None30. If log 2 x + log 2 y ≥ 6 then least possible value of x + yis(A) 32 (B) 16 (C) 8 (D) None31. No. of real roots of the equationx 3 + x 2 + 10x + sin x = 0 is(A) 1 (B) 2 (C) 3 (D) ∞32. The roots of the equation ax 2 + bx + c = 0, a ∈R + aretwo consecutive odd positive integers then(A) |b| ≤ 4a (B) |b| ≥ 4a(C) |b| ≥ 2a(D) None of these33. The sum of the terms of an infinitely decreasing G.P.is equal to the greatest value of the functionf(x) = x 3 + 3x – 9 on the interval [–2, 3] and thedifference between the first two terms is f´(0) thensum of first terms is(A) 19 or – 37 (B) 19(C) –37(D) None of these34. If the complex number z 1 = a + i, z 2 = 1 + ib, z 3 = 0form an equilateral triangle (a, b are real numberbetween 0 & 1) then :(A) a = 3 – 1, b = 3 / 2(B) a = 2 – 3 , b = 2 − 31 3(C) a = , b = 2 4(D) None of thesen35. ∑(−1)r=0(A)21n −r n C r1⎛⎜1r⎝ 2(B)r r3 7 ⎞+ + + ..... ∞⎟is equal to2r 3r2 2⎠32n − 1(C) 22 1n −36. The coefficient of x 3 y 4 z in the expansion of(1 + x + y – z) 9 is(A) 2 . 9 C 7 . 7 C 4 (B) – 2 . 9 C 2 . 7 C 3(C) 9 C 7 . 7 C 4 (D) None of these(D) Nonee x37. If = B 0 + B 1 x + B 2 x 2 + .... then B n – B n–1 = ?1−x1 1 1(A) (B) (C) (D) Nonen n n −138. The number of point (x, y, z) in space whose eachcoordinate is a negative integer such that x + y + z +12 = 0 is(A) 55 (B) 110 (C) 75 (D) None39. Six boys and six girls sit along a line alternativelywith probability P 1 & along a circle (againalternatively) with probability P 2 then P 1 /P 2 is equalto(A) 1 (B) 1/5 (C) 6 (D) None40. If f(x) is a polynomial satisfyingf(x) = 21f (x)1⎛ 1 ⎞f ⎜ ⎟ − f (x)⎝ x ⎠and f(2) = 17⎛ 1 ⎞f ⎜ ⎟⎝ x ⎠then the value of f(5) is(A) 624 (B) –124 (C) 626 (D) 126⎡1x⎤41. If A = ⎢ ⎥ is idempotent then x =⎣02 ⎦(A) 0 (B) 2(C) no such x exist (D) None of these42. Let R be a relation on the set of integers given bya R b if a = 2 k b for some integer k then R is(A) an equivalence relation(B) reflexive and symmetric but not transitive(C) reflexive and transitive but not symmetric(D) symmetric and transitive but not reflxive43. Minimum value ofb + ca+c + ab+ve numbers a, b, c) is(A) 1 (B) 2 (C) 4 (D) 6+a + b , (for realc44. From mean value theorem f(b) – f(a) = (b – a) f´(x 1 );a < x 1 < b if f(x) = x1 then x1 =(A)ab (B)a + b2(C)2aba + b(D)b − aa + b45. If f(x) =∫cot 4 1x dx + cot 3 ⎛ π ⎞x – cot x and f ⎜ ⎟ 3 ⎝ 2 = π⎠ 2then f(x) is(A) π – x (B) x – π (C) x (D) NoneXtraEdge for IIT-JEE 84APRIL 2010
LOGICAL REASONING1. Fill in the blank spaces.11, 12, 17, 18, 23, 24, (?)(A) 12 (B) 29 (C) 30 (D) 352. Choose the best alternative.Dum-Dum : Calcutta : : Palam : ?(A) Kerala (B) Delhi (C) Madras (D) Bombay3. Pick the odd one out –(A) Wheat (B) Paddy (C) Towar(D) Mustard4. Which of the following figures (A), (B), (C) and (D)when folded along the lines, will produce the givenfigure (X) ?(C)(D)7. In the following question, find out which of theanswer figures (A), (B), (C) and (D) completes thefigure-matrix ??(A) (B) (C) (D)(X)(A) (B)(C)(D)8. The question that follow contain a set of three figuresX, Y and Z showing a sequence of a piece of paper.Fig. (Z) shows the manner in which the folded paperhas been cut. These three figures are followed by fouranswer figures from which you have to choose afigure which would most closely resemble theunfolded form of fig. (Z).5. In each of the following questions, choose the set offigures which follows the given rule.Rule : The series becomes complex as it proceeds :(A)X Y Z(B)(C)(D)(A)(C)(B)(D)6. In following question below, you are given a figure(X) followed by four figures (A), (B), (C) and (D)such that (X) is embedded in one of them. Trace outthe correct alternative.9. In the following question, complete the missingportion of the given pattern by selecting from thegiven alternatives (A), (B), (C) and (D).?(X)(X)(A)(B)(A) (B) (C) (D)10. In the following question, find out which of theanswer figures (A), (B), (C) and (D) complete thefigure - matrix ?XtraEdge for IIT-JEE 85APRIL 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
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Perfect gas equation :From the kine
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The internal energy of n molecules
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* The binding energy per nucleon is
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KEY CONCEPTOrganicChemistryFundamen
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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
Page 68 and 69: X Y Z W0123456789012345678912. If z
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 76 and 77: 60. Point out the incorrect stateme
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: 10. The foci of a hyperbola coincid
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 +
Page 95 and 96: R l=sin 45º sin 30ºR sin 45º = =
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
Page 126: CAREER POINTIn associationwithLaunc
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