Solved papers for JEE Main & Advanced AIEEE Solved Paper-2007

done AIEEE Solved Paper-2007 Total Questions - 40

• question_answer1) In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then, the common ratio of this progression equals       AIEEE  Solved  Paper-2007
  A)
   \[{{[NiC{{l}_{4}}]}^{2-}}\]      
  done clear
  B)
          \[{{[PtC{{l}_{4}}]}^{2-}}\]            
  done clear
  C)
          \[\alpha -\]                       
  done clear
  D)
          \[C{{H}_{3}}-C\equiv CH+2HBr\xrightarrow[{}]{{}}\]
  done clear
  View Answer play_arrow

• question_answer2) If\[C{{H}_{3}}CH\equiv CHBr+HBr\xrightarrow[{}]{{}}\]then a value of\[CH\equiv CH+2HBr\xrightarrow[{}]{{}}\]is       AIEEE  Solved  Paper-2007
  A)
   1            
  done clear
  B)
          3            
  done clear
  C)
          4            
  done clear
  D)
          5
  done clear
  View Answer play_arrow

• question_answer3) In the binomial expansion of\[C{{H}_{3}}CH=C{{H}_{2}}+HBr\xrightarrow[{}]{{}}\]the sum of 5th and 6th terms is zero, then\[C{{H}_{3}}C{{H}_{2}}N{{H}_{2}}+CHC{{l}_{3}}+3KOH\xrightarrow[{}]{{}}\]equals       AIEEE  Solved  Paper-2007
  A)
   \[(A)+(B)+3{{H}_{2}}O,\]            
  done clear
  B)
          \[{{C}_{2}}{{H}_{5}}CN\]             
  done clear
  C)
          \[3KCl\]              
  done clear
  D)
          \[C{{H}_{3}}C{{H}_{2}}CON{{H}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer4) The set S = {1, 2, 3,..., 12} is to be partitioned into three sets A, B, C of equal size. Thus, \[3KCl\] \[{{C}_{2}}{{H}_{5}}NC\]The number of ways to partition S is       AIEEE  Solved  Paper-2007
  A)
   \[{{K}_{2}}C{{O}_{3}}\]       
  done clear
  B)
          \[{{C}_{2}}{{H}_{5}}NC\]             
  done clear
  C)
          \[3KCl\]      
  done clear
  D)
          \[C{{l}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer5) The largest interval lying in\[FeCl,\] which the function \[{{C}_{2}}\xrightarrow[{}]{{}}C_{2}^{+}\] is defined, is       AIEEE  Solved  Paper-2007
  A)
   \[NO\xrightarrow[{}]{{}}N{{O}^{+}}\]
  done clear
  B)
                          \[{{O}_{2}}\xrightarrow[{}]{{}}O_{2}^{+}\]         
  done clear
  C)
         \[\left[ -\frac{\pi }{4},\,\frac{\pi }{2} \right)\]     
  done clear
  D)
          \[5f\]
  done clear
  View Answer play_arrow

• question_answer6) A body weighing 13 kg is suspended by two strings 5 m and 12 m long, their other ends being fastened to the extremities of a rod 13 m long. If the rod be so held that the body hangs immediately below the middle point. The tensions in the strings are       AIEEE  Solved  Paper-2007
  A)
   12 kg and 13 kg  
  done clear
  B)
          5 kg and 5 kg
  done clear
  C)
          5 kg and 12 kg   
  done clear
  D)
          5 kg and 13 kg
  done clear
  View Answer play_arrow

• question_answer7) A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is       AIEEE  Solved  Paper-2007
  A)
   1/729   
  done clear
  B)
          8/9       
  done clear
  C)
          8/729   
  done clear
  D)
          8/243
  done clear
  View Answer play_arrow

• question_answer8) Consider a family of circles which are passing through the point (-1, 1) and are touching X-axis. If (h, k) are the coordinates of the centre of the circles, then the set of values of k is given by the interval       AIEEE  Solved  Paper-2007
  A)
   \[4f\]                   
  done clear
  B)
   \[4f\]   
  done clear
  C)
          \[5f\]
  done clear
  D)
          \[5f\]
  done clear
  View Answer play_arrow

• question_answer9) Let L be the line of intersection of the planes \[4f\]and\[25{}^\circ C\]. If L makes an angle a with the positive x-axis, then\[\frac{2}{3}\] equals       AIEEE  Solved  Paper-2007
  A)
   \[\frac{1}{3}\times \frac{273}{298}\]     
  done clear
  B)
          1/2       
  done clear
  C)
          1                            
  done clear
  D)
          \[\frac{1}{3}\]
  done clear
  View Answer play_arrow

• question_answer10) The differential equation of all circles passing through the origin and having their centres on the X-axis is       AIEEE  Solved  Paper-2007
  A)
   \[\frac{1}{2}\]  
  done clear
  B)
   \[1.0\text{ }g\,c{{m}^{-3}},\]    
  done clear
  C)
   \[90.0\text{ }g\,mo{{l}^{-1}}\]
  done clear
  D)
  \[\text{115}\text{.0 }g\,mo{{l}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer11) If p and g are positive real numbers such that \[\text{105}\text{.0 }g\,mo{{l}^{-1}}\]then the maximum value of\[\text{210}\text{.0 }g\,mo{{l}^{-1}}\]is       AIEEE  Solved  Paper-2007
  A)
   2      
  done clear
  B)
                                          \[\Delta U\]                      
  done clear
  C)
   \[100{}^\circ C,\]            
  done clear
  D)
          \[K=41\text{ }kJ\text{ }mo{{l}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer12) A tower stands at the centre of a circular park. A and B are two points on the boundary of the park such that AB (= a) subtends an angle of \[R=8.3\text{ }J\text{ }mo{{l}^{-1}}\]at the/foot of the tower and the angle of elevation of the top of the tower from A or B is\[4.100\,kJ\,mo{{l}^{-1}}\]. The height of the tower is       AIEEE  Solved  Paper-2007
  A)
   \[3.7904\text{ }kJ\,mo{{l}^{-1}}\]
  done clear
  B)
                          \[37.904\text{ }kJ\text{ }mo{{l}^{-1}}\]                
  done clear
  C)
          \[41.00\text{ }kJ\text{ }mo{{l}^{-1}}\]  
  done clear
  D)
          \[AgI{{O}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer13) The sum of the series, \[^{20}{{C}_{0}}{{-}^{20}}{{C}_{1}}{{+}^{20}}{{C}_{2}}{{-}^{20}}{{C}_{3}}\,+...-...{{+}^{20}}{{C}_{10}}\] is       AIEEE  Solved  Paper-2007
  A)
   \[{{K}_{sp}}\]   
  done clear
  B)
          \[AgI{{O}_{3}}\]              
  done clear
  C)
   0                            
  done clear
  D)
          \[1.0\times {{10}^{-8}},\]
  done clear
  View Answer play_arrow

• question_answer14) The normal to a curve at\[AgI{{O}_{3}}\]meets the x-axis at G. If the distance of G from the origin is twice the abscissa of P, then the curve is a       AIEEE  Solved  Paper-2007
  A)
   ellipse            
  done clear
  B)
          parabola            
  done clear
  C)
          circle              
  done clear
  D)
          hyperbola
  done clear
  View Answer play_arrow

• question_answer15) If \[28.3\times {{10}^{-2}}g\]then the maximum value of\[2.83\times {{10}^{-3}}g\]is       AIEEE  Solved  Paper-2007
  A)
   4            
  done clear
  B)
          10         
  done clear
  C)
          6      
  done clear
  D)
          0
  done clear
  View Answer play_arrow

• question_answer16) The resultant of two forces P N and 3 N is a force of 7 N. If the direction of the 3 N force were reversed, the resultant would be \[\sqrt{19}N\]. The value of P is       AIEEE  Solved  Paper-2007
  A)
   5 N    
  done clear
  B)
          6 N       
  done clear
  C)
          3 N       
  done clear
  D)
          4 N
  done clear
  View Answer play_arrow

• question_answer17) Two aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are 0.3 and 0.2, respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is       AIEEE  Solved  Paper-2007
  A)
   0.06      
  done clear
  B)
          0.14      
  done clear
  C)
          0.2        
  done clear
  D)
          0.7
  done clear
  View Answer play_arrow

• question_answer18) If\[1.0\times {{10}^{-7}}g\]for\[1.0\times {{10}^{-4}}g\],\[{{S}_{N}}2\]then D is       AIEEE  Solved  Paper-2007
  A)
   divisible by neither\[X=a\]nor y
  done clear
  B)
   divisible by both\[RC{{H}_{2}}X>{{R}_{3}}CX>{{R}_{2}}CHX\]and y
  done clear
  C)
   divisible by\[RC{{H}_{2}}X>{{R}_{2}}CHX>{{R}_{3}}CX\]but not y
  done clear
  D)
   divisible by y but not\[{{R}_{3}}CX>{{R}_{2}}CHX>RC{{H}_{2}}X\]
  done clear
  View Answer play_arrow

• question_answer19) For the hyperbola \[{{R}_{2}}CHX>{{R}_{3}}CX>RC{{H}_{2}}X\]which of the following remains constant when \[\alpha \] varies?       AIEEE  Solved  Paper-2007
  A)
   Eccentricity
  done clear
  B)
   Directrix
  done clear
  C)
   Abscissae of vertices
  done clear
  D)
   Abscissae of foci
  done clear
  View Answer play_arrow

• question_answer20) If a line makes an angle of \[C{{H}_{3}}C{{H}_{2}}OH\xrightarrow[{}]{P+{{I}_{2}}}A\xrightarrow[Ether]{Mg}B\xrightarrow[{}]{HCHO}\]with the positive directions of each of X-axis and Y-axis, then the angle that the line makes with the positive direction of the Z-axis is       AIEEE  Solved  Paper-2007
  A)
   \[C\xrightarrow[{}]{{{H}_{2}}O}D\]                        
  done clear
  B)
   \[n=3,\text{ }l=1,\text{ }m=1,\text{ }s=+\text{ }1/2\]  
  done clear
  C)
          \[n=3,l=2,m=1,s=+1/2\]              
  done clear
  D)
          \[n=4,\text{ }l=0,\text{ }m=0,\text{ }s=+\text{ }1/2\]
  done clear
  View Answer play_arrow

• question_answer21) A value of C for which the conclusion of Mean Value Theorem holds for the function\[n=3,\text{ }l=0,\text{ }m=0,\text{ }s=+\text{ }1/2\] \[OH...N\] the interval [1, 3] is       AIEEE  Solved  Paper-2007
  A)
   \[FH...F\]           
  done clear
  B)
          \[OH...O\]         
  done clear
  C)
          \[OH...F\]                          
  done clear
  D)
          \[2Al(s)+6HCl(aq)\xrightarrow[{}]{{}}2A{{l}^{3+}}(aq)\]
  done clear
  View Answer play_arrow

• question_answer22) The function\[+6C{{l}^{-}}(aq)+3{{H}_{2}}(g)\]is an increasing function in       AIEEE  Solved  Paper-2007
  A)
   \[6\text{ }L\text{ }HCl(aq)\]      
  done clear
  B)
           \[3\text{ }L\text{ }{{H}_{2}}(g)\]
  done clear
  C)
                          \[33.6\,L\,{{H}_{2}}(g)\]              
  done clear
  D)
         \[Al\]
  done clear
  View Answer play_arrow

• question_answer23) Let\[67.2\text{ }L\,{{H}_{2}}(g)\]. If\[Al\]then | a| equals       AIEEE  Solved  Paper-2007
  A)
   \[11.2\,L\,{{H}_{2}}(g)\]                  
  done clear
  B)
          1                            
  done clear
  C)
   \[HCl(aq)\]   
  done clear
  D)
   5
  done clear
  View Answer play_arrow

• question_answer24) The sum of the series\[\alpha -\]upto infinity is       AIEEE  Solved  Paper-2007
  A)
   \[\beta -\]                         
  done clear
  B)
          \[{{H}_{2}}O\] 
  done clear
  C)
   \[25{}^\circ C\]                
  done clear
  D)
         \[\Lambda _{C{{H}_{3}}COONa}^{o}=91.0\text{ }S\text{ }c{{m}^{2}}/equiv\]
  done clear
  View Answer play_arrow

• question_answer25) If \[\hat{u}\] and \[\hat{v}\] are unit vectors and \[\theta \] is the acute angle between them, then\[\Lambda _{HCl}^{o}=426.2\text{ }S\text{ }c{{m}^{2}}/equiv\]is a unit vector for       AIEEE  Solved  Paper-2007
  A)
   exactly two values of \[\theta \]
  done clear
  B)
   more than two values of \[\theta \]
  done clear
  C)
   no value of \[\theta \]
  done clear
  D)
   exactly one value of \[\theta \]
  done clear
  View Answer play_arrow

• question_answer26) A particle just clears a wall of height b at a distance a and strikes the ground at a distance c from the point of projection. The angle of projection is       AIEEE  Solved  Paper-2007
  A)
   \[{{\Lambda }^{o}}\]           
  done clear
  B)
          \[{{\Lambda }^{o}}\]                    
  done clear
  C)
          \[NaCl\]
  done clear
  D)
          \[{{\Lambda }^{o}}\]
  done clear
  View Answer play_arrow

• question_answer27) The average marks of boys in a class is 52 and that of "girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is       AIEEE  Solved  Paper-2007
  A)
   40                         
  done clear
  B)
          20                         
  done clear
  C)
          80                         
  done clear
  D)
          60
  done clear
  View Answer play_arrow

• question_answer28) The equation of a tangent to the parabola \[C{{H}_{3}}COOK\]is\[{{H}^{+}}(\lambda _{{{H}^{+}}}^{o})\]. The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is       AIEEE  Solved  Paper-2007
  A)
   (-1, 1)             
  done clear
  B)
          (0, 2)    
  done clear
  C)
          (2, 4)                    
  done clear
  D)
          (-2, 0)
  done clear
  View Answer play_arrow

• question_answer29) If (21 3, 5) is one end of a diameter of the sphere \[{{\Lambda }^{o}}\] then the coordinates of the other end of the diameter are       AIEEE  Solved  Paper-2007
  A)
   (4, 9,-3)          
  done clear
  B)
         (4,-3, 3)
  done clear
  C)
          (4, 3, 5)           
  done clear
  D)
          (4, 3, -3)
  done clear
  View Answer play_arrow

• question_answer30) Let \[(CIC{{H}_{2}}COOH)\]and\[KMn{{O}_{4}}\] If the vector \[\vec{c}\] lies in the plane of \[\vec{a}\] and \[\vec{b}\], then\[O_{2}^{2-}\]equals
  A)
   0                            
  done clear
  B)
          1                            
  done clear
  C)
          -4                          
  done clear
  D)
          -2
  done clear
  View Answer play_arrow

• question_answer31) Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of values which 'k' can take is given by       AIEEE  Solved  Paper-2007
  A)
   {1, 3}             
  done clear
  B)
          {0, 2}    
  done clear
  C)
          {-1, 3}                  
  done clear
  D)
          {-3,-2}
  done clear
  View Answer play_arrow

• question_answer32) Let P = (-1, 0), Q = (0, 0) and\[O_{2}^{+}\] be three points. The equation of the bisector of \[{{O}_{2}}\]is       AIEEE  Solved  Paper-2007
  A)
  \[NO\] 
  done clear
  B)
          \[Si,Ge,Sn\]
  done clear
  C)
                          \[Pb\]
  done clear
  D)
                          \[Ge{{X}_{2}}<Si{{X}_{2}}<Sn{{X}_{2}}<Pb{{X}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer33) If one of the lines of\[Si{{X}_{2}}<Ge{{X}_{2}}<Pb{{X}_{2}}<Sn{{X}_{2}}\]is a bisector of the angle between the lines\[Si{{X}_{2}}<Ge{{X}_{2}}<Sn{{X}_{2}}<Pb{{X}_{2}}\]then m is       AIEEE  Solved  Paper-2007
  A)
   \[Pb{{X}_{2}}<Sn{{X}_{2}}<Ge{{X}_{2}}<Si{{X}_{2}}\]                    
  done clear
  B)
          \[S{{O}_{2}}\]                  
  done clear
  C)
          \[S{{O}_{3}}\]                  
  done clear
  D)
          2
  done clear
  View Answer play_arrow

• question_answer34) Let\[NaOH(aq)\]where\[N{{a}_{2}}Si{{O}_{3}}\]Then, F(e) equals       AIEEE  Solved  Paper-2007
  A)
   \[{{H}_{2}}O\]                 
  done clear
  B)
          0            
  done clear
  C)
          1            
  done clear
  D)
          2
  done clear
  View Answer play_arrow

• question_answer35) Let\[C{{l}_{2}}\]be a function denned by \[N{{H}_{3}}\]\[{{N}_{2}}\]. Then, which of the following is true?       AIEEE  Solved  Paper-2007
  A)
   \[HCl\]for all\[B{{r}_{2}}\]
  done clear
  B)
  \[NaOH\]is not differentiate at\[NaBr,NaBr{{O}_{4}}\]
  done clear
  C)
  \[{{H}_{2}}O\]is differentiable everywhere
  done clear
  D)
  \[{{K}^{+}},C{{a}^{2+}},M{{g}^{2+}},B{{e}^{2+}}\]is not differentiable at\[M{{g}^{2+}}<B{{e}^{2+}}<{{K}^{+}}<C{{a}^{2+}}\]
  done clear
  View Answer play_arrow

• question_answer36) The function\[B{{e}^{2+}}<{{K}^{+}}<C{{a}^{2+}}<M{{g}^{2+}}\]given by \[{{K}^{+}}<C{{a}^{2+}}<M{{g}^{2+}}<B{{e}^{2+}}\] can be made continuous at\[C{{a}^{2+}}<M{{g}^{2+}}<B{{e}^{2+}}<{{K}^{+}}\]by defining f(0) as       AIEEE  Solved  Paper-2007
  A)
   2                            
  done clear
  B)
  -1                        
  done clear
  C)
  0                            
  done clear
  D)
  1
  done clear
  View Answer play_arrow

• question_answer37) The solution for\[g\text{ }m{{L}^{-1}}\]of the equation \[{{H}_{2}}S{{O}_{4}}\]is.       AIEEE  Solved  Paper-2007
  A)
   2                            
  done clear
  B)
          \[=98\text{ }g\text{ }mo{{l}^{-1}}\]                       
  done clear
  C)
          \[{{H}_{2}}A\]         
  done clear
  D)
         \[1.0\times {{10}^{-5}}\]
  done clear
  View Answer play_arrow

• question_answer38) \[5.0\times {{10}^{-10}}\]equals       AIEEE  Solved  Paper-2007
  A)
   \[\frac{1}{2}\log \,\tan \,\left( \frac{x}{2}+\frac{\pi }{12} \right)+C\]
  done clear
  B)
   \[\frac{1}{2}\log \tan \,\left( \frac{x}{2}-\,\frac{\pi }{12} \right)\,+C\]
  done clear
  C)
   \[\log \,\tan \,\left( \frac{x}{2}+\frac{\pi }{12}\, \right)+C\]
  done clear
  D)
   \[\log \,\tan \,\left( \frac{x}{2}-\frac{\pi }{12} \right)+C\]
  done clear
  View Answer play_arrow

• question_answer39) The area enclosed between the curves\[CaC{{O}_{3}}(s)\xrightarrow{{}}CaO(s)+C{{O}_{2}}(g)\] and\[\Delta H{}^\circ \]is       AIEEE  Solved  Paper-2007
  A)
   \[\Delta S{}^\circ \]       
  done clear
  B)
          1                            
  done clear
  C)
   \[+179.1\text{ }kJ\]                       
  done clear
  D)
          \[mo{{l}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer40) If the difference between the roots of the equation\[160.2\text{ }J/K\]is less than\[\Delta H{}^\circ \]then the set of possible values of a is       AIEEE  Solved  Paper-2007
  A)
   (-3, 3)                  
  done clear
  B)
         \[\Delta S{}^\circ \]        
  done clear
  C)
          \[\frac{1}{2}(1-\sqrt{5})\]            
  done clear
  D)
         \[\frac{1}{2}\sqrt{5}\]
  done clear
  View Answer play_arrow