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
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
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
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
question_answer5) The largest interval lying in\[FeCl,\] which the function \[{{C}_{2}}\xrightarrow[{}]{{}}C_{2}^{+}\] is defined, is
AIEEE Solved Paper-2007
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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