Solved papers for JEE Main & Advanced AIEEE Solved Paper-2011
done AIEEE Solved Paper-2011 Total Questions - 30
question_answer1) Consider 5 independent Bernoulli?s trials each with probability of success \[\rho \]. If the probability of at least one failure is greater than or equal to \[\frac{31}{32}\], then \[\rho \] lies in the interval.
AIEEE Solved Paper-2011
question_answer4) Let R be the set of real numbers. Statement-1: \[A=\{(x,y)\in R\times R:y-x\] is an integer} is an equivalence relation on R. Statement-2: \[B=\{(x,y)\in R\times R:x=\alpha y\] for some rational number ?} is an equivalence relation on R.
AIEEE Solved Paper-2011
A)
Statement-1 is false, Statement-2 is true
doneclear
B)
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1
doneclear
C)
Statement-1 is true, Statement-2 is true Statement-2 is not a correct explanation for Statement-1
question_answer5) Let \[\alpha ,\beta \] be real and z be a complex number. If \[{{z}^{2}}+\alpha z+\beta =0\] has two distinct roots on the line Re \[z=1\], then it is necessary that.
AIEEE Solved Paper-2011
question_answer7) The number of values of k for which the linear equations \[4x+ky+2z=0\] \[kx+4y+z=0\] \[\left. 2x+2y+z=0 \right|\] possess a non-zero solution is.
AIEEE Solved Paper-2011
question_answer8) Statement-1: The point A(1, 0, 7) is the mirror image of the point B(1, 6, 3) in the line : \[\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}\]. Statement-2: The line: \[\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}\] bisects the line segment joining A(1, 0, 7) and B(1, 6, 3).
AIEEE Solved Paper-2011
A)
Statement-1 is false, Statement-2 is true
doneclear
B)
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1
doneclear
C)
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
question_answer9) Consider the following statements P : Suman is brilliant Q : Suman is rich R : Suman is honest The negation of the statement ?Suman is brilliant and dishonest if and only if Suman is rich? can be expressed as.
AIEEE Solved Paper-2011
question_answer10) The lines \[{{L}_{1}}:y-x=0\] and \[{{L}_{2}}:2x+y=0\] intersect the line \[{{L}_{3}}:y+2=0\] at P and Q respectively. The bisector of the acute angle between \[{{L}_{1}}\] and \[{{L}_{2}}\] intersects \[{{L}_{3}}\] at R. Statements 1 : The ratio PR : RQ equals \[2\sqrt{2}:\sqrt{5}\]. Statement 2 : In any traingle, bisector of an angle divides the triangle into two similar triangles.
AIEEE Solved Paper-2011
A)
Statement-1 is true, Statement-2 is false
doneclear
B)
Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1
doneclear
C)
Statement-1 is true, Statement-2 is true; Statement-2 is the not the correct explanation of Statement-1
question_answer11) A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. 40 more than the saving of immediately previous month. His total saving from the start of service will be Rs. 11040 after.
AIEEE Solved Paper-2011
question_answer12) Equation of the ellipse whose axes are the axes of coordinates and which passes through the point (-3, 1) and has eccentricity \[(-3,1)\]\[\sqrt{\frac{2}{5}}\] is.
AIEEE Solved Paper-2011
question_answer15) If the angle between the line \[x=\frac{y-1}{2}=\frac{z-3}{\lambda }\]and the plane \[x+2y+3z=4\] is \[{{\cos }^{-1}}\left( \sqrt{\frac{5}{14}} \right)\], then \[\lambda \] equals.
AIEEE Solved Paper-2011
question_answer18) If the mean deviation about the median of the numbers \[a,2a,\,........\,,50a\] is 50, then \[\left| a \right|\] equals.
AIEEE Solved Paper-2011
question_answer19) If \[\vec{a}=\frac{1}{\sqrt{10}}(3\hat{i}+\hat{k})\] and \[b=\frac{1}{7}(2\hat{i}+3\hat{j}-6\hat{k})\], then the value of \[(2\vec{a}-\vec{b}.[(\vec{a}\times \vec{b})\times (\vec{a}+2\vec{b})]\]is.
AIEEE Solved Paper-2011
question_answer20) The values of p and q for which the function
\[f(x)=\left\{ \begin{align}
& \frac{\sin (p+1)x+sinx}{x},\,\,\,\,\,\,x
& q,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x=0 \\
& \frac{\sqrt{x+{{x}^{2}}}-\sqrt{x}}{{{x}^{3/2}}},\,\,\,\,\,\,\,x>0 \\
\end{align} \right.\]
is continuous for all \[x\] in R, are.
AIEEE Solved Paper-2011
question_answer22) Let I be the purchase value of an equipment and \[V(t)\] be the value after it has been used for t years. The value \[V(t)\] depreciates at a rate given by differential equation \[\frac{dV(t)}{dt}=-k(T-t)\], where \[k>0\] is a constant and T is the total life in years of the equipment. Then the scrap value \[V(T)\] of the equipment is.
AIEEE Solved Paper-2011
question_answer23) If C and D are two events such that \[C\subset D\] and \[P(D)\ne 0\], then the correct statement among the following is.
AIEEE Solved Paper-2011
question_answer24) Let A and B be two symmetric matrices of order 3. Statement-1: A(BA) and (AB)A are symmetric matrices. Statement-2: AB is symmetric matrix if matrix multiplication of A with B is commutative.
AIEEE Solved Paper-2011
A)
Statement-1 is false, Statement-2 is true
doneclear
B)
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1
doneclear
C)
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
question_answer26) Statement-1: The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is empty is \[^{9}{{C}_{3}}\]. Statement-2: The number of ways of choosing any 3 places from 9 different places is \[^{9}{{C}_{3}}\].
AIEEE Solved Paper-2011
A)
Statement-1 is false, Statement-2 is true
doneclear
B)
Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1
doneclear
C)
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
question_answer30) The vectors \[\vec{a}\] and \[\vec{b}\] are not perpendicular and \[\vec{c}\] and \[\vec{d}\] are two vectors satisfying \[\vec{b}\times \vec{c}=\vec{b}\times \vec{d}\]and \[\vec{a}.\,\vec{d}=0\]. Then the vector \[\vec{d}\] is equal to
AIEEE Solved Paper-2011