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VITEEE
List of top Questions asked in VITEEE
The molar conductivities of KCl, NaCl and KNO\(_3\) are 152, 128 and 111 S cm\(^2\) mol\(^{-1}\) respectively. What is the molar conductivity of NaNO\(_3\)?
VITEEE - 2008
VITEEE
Chemistry
Electrochemistry
The electrochemical cell stops working after sometime because :
VITEEE - 2008
VITEEE
Chemistry
Electrochemistry
The amount of electricity required to produce one mole of copper from copper sulphate solution will be
VITEEE - 2008
VITEEE
Chemistry
Electrochemistry
Dipping iron article into a strongly alkaline solution of sodium phosphate
VITEEE - 2008
VITEEE
Chemistry
Electrochemistry
Alkyl cyanides undergo Stephen reduction to produce
VITEEE - 2008
VITEEE
Chemistry
Aldehydes, Ketones and Carboxylic Acids
A wittig reaction with an aldehyde gives
VITEEE - 2008
VITEEE
Chemistry
Aldehydes, Ketones and Carboxylic Acids
Cannizzaro reaction is given by
VITEEE - 2008
VITEEE
Chemistry
Aldehydes, Ketones and Carboxylic Acids
Reaction of PCl\(_3\) and PhMgBr would give
VITEEE - 2008
VITEEE
Chemistry
p -Block Elements
Cl--P--Cl bond angles in PCl\(_5\) molecule are
VITEEE - 2008
VITEEE
Chemistry
p -Block Elements
Milk changes after digestion into:
VITEEE - 2008
VITEEE
Chemistry
Biomolecules
Which of the following sets consists only of essential amino acids?
VITEEE - 2008
VITEEE
Chemistry
Biomolecules
Which of the following is ketohexose ?
VITEEE - 2008
VITEEE
Chemistry
Biomolecules
If \(\vec{a},\vec{b},\vec{c}\) be three unit vectors such that \(\vec{a}\times(\vec{b}\times\vec{c})=\frac{1}{2}\vec{b}\), \(\vec{b}\) and \(\vec{c}\) being non-parallel. If \(\theta_1\) is the angle between \(\vec{a}\) and \(\vec{b}\) and \(\theta_2\) is the angle between \(\vec{a}\) and \(\vec{c}\), then
VITEEE - 2008
VITEEE
Mathematics
Vectors
The number of real roots of the equation \(x^4+\sqrt{x^4+20}=22\) is
VITEEE - 2008
VITEEE
Mathematics
Quadratic Equations
If \(\vec{a}=\hat{i}-\hat{j}+\hat{k}\) and \(\vec{b}=2\hat{i}+4\hat{j}+3\hat{k}\) are one of the sides and medians respectively, through the same vertex, then area of the triangle is
VITEEE - 2008
VITEEE
Mathematics
Vectors
If the sides of a right-angle triangle form an A.P., the `Sin' of the acute angles are
VITEEE - 2008
VITEEE
Mathematics
Trigonometry
Probability of getting positive integral roots of the equation \(x^2-n=0\) for the integer \(n,\ 1\le n \le 40\) is
VITEEE - 2008
VITEEE
Mathematics
Probability
Let \(\alpha,\beta\) be the roots of the equation \(x^2-ax+b=0\) and \(A_n=\alpha^n+\beta^n\). Then \(A_{n+1}-aA_n+bA_{n-1}\) is equal to
VITEEE - 2008
VITEEE
Mathematics
Sequences and Series
The plane through the point \((-1,-1,-1)\) and containing the line of intersection of the planes \(\vec{r}\cdot(\hat{i}+3\hat{j}-\hat{k})=0\) and \(\vec{r}\cdot(\hat{i}+2\hat{k})=0\) is
VITEEE - 2008
VITEEE
Mathematics
Three Dimensional Geometry
If \(x,y,z\) are different from zero and
\[ \Delta= \begin{vmatrix} a & b-y & c-z \\ a-x & b & c-z \\ a-x & b-y & c \end{vmatrix}=0 \]
then the value of the expression \(\frac{a}{x}+\frac{b}{y}+\frac{c}{z}\) is
VITEEE - 2008
VITEEE
Mathematics
Matrices and Determinants
If \(D=\text{diag}(d_1,d_2,\ldots,d_n)\), where \(d_i\neq 0\), for \(i=1,2,\ldots,n\), then \(D^{-1}\) is equal to
VITEEE - 2008
VITEEE
Mathematics
Matrices and Determinants
If \(\begin{vmatrix} 0 & a^4 \\ b & 0 \end{vmatrix}=1\), then
VITEEE - 2008
VITEEE
Mathematics
Matrices and Determinants
The system of equations
\[ x+y+z=0 \] \[ 2x+3y+z=0 \] \[ x+2y=0 \]
has
VITEEE - 2008
VITEEE
Mathematics
Matrices and Determinants
Let \(S\) be a finite set containing \(n\) elements. Then the total number of commutative binary operation on \(S\) is
VITEEE - 2008
VITEEE
Mathematics
Functions
If \(R\) be a relation defined as \(aRb\) iff \(|a-b|>0\), then the relation is
VITEEE - 2008
VITEEE
Mathematics
Relations
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