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VITEEE
List of top Questions asked in VITEEE
If the complex numbers \( z_1, z_2, z_3 \) are in AP, then they lie on a:
VITEEE - 2012
VITEEE
Mathematics
Complex numbers
If \( 2 \tan^{-1} (\cos x) = \tan^{-1} (2 \csc x) \), then the value of \( x \) is:
VITEEE - 2012
VITEEE
Mathematics
Trigonometry
If \( 3p \) and \( 4p \) are resultant of a force \( 5p \), then the angle between \( 3p \) and \( 5p \) is:
VITEEE - 2012
VITEEE
Mathematics
Vectors
If \( x, y, z \) are all distinct and \[ \begin{vmatrix} x^2 & 1 + x^3 \\ y^2 & 1 + y^3 \\ z^2 & 1 + z^3 \end{vmatrix} = 0, \] then the value of \( xyz \) is:
VITEEE - 2012
VITEEE
Mathematics
Determinants
The solution of the differential equation \[ \frac{dy}{dx} + \frac{2yx}{1 + x^2} = \frac{1}{(1 + x^2)^2} \] is
VITEEE - 2012
VITEEE
Mathematics
Differential equations
The probability that at least one of the events A and B occurs is 0.6. If A and B occur simultaneously with probability 0.2, then \( P(A) + P(B) \) is:
VITEEE - 2012
VITEEE
Mathematics
Probability
Which one of the following complexes is not expected to exhibit isomerism?
VITEEE - 2012
VITEEE
Chemistry
coordination compounds
A 0.1 molal aqueous solution of a weak acid is 30% ionised. If Kf for water is \( 1.86^\circ C/\text{mol} \), the freezing point of the solution will be
VITEEE - 2012
VITEEE
Chemistry
Solutions
What is the value of electron gain enthalpy of \( \text{Na} \), if \( \text{IE}_\text{Na} = 5.1 \, \text{eV} \)?
VITEEE - 2012
VITEEE
Chemistry
Periodic Classification of Elements
Which of the following compound is the most basic?
VITEEE - 2012
VITEEE
Chemistry
Amines
The unit of rate constant for a zero order reaction is
VITEEE - 2012
VITEEE
Chemistry
Chemical Kinetics
Which of the following structures is the most preferred and hence of lowest energy for \( \text{SO}_3 \)?
VITEEE - 2012
VITEEE
Chemistry
Chemical bonding and molecular structure
Which of the following carbonyls will have the strongest C—O bond?
VITEEE - 2012
VITEEE
Chemistry
Aldehydes, Ketones and Carboxylic Acids
A solid compound XY has NaCl structure. If the radius of the cation is 100 pm, the radius of the anion \( Y^{1-} \) will be
VITEEE - 2012
VITEEE
Chemistry
The solid state
Which of the following compounds undergoes nucleophilic substitution reaction most easily?
VITEEE - 2012
VITEEE
Chemistry
Haloalkanes and Haloarenes
Consider the following processes \[ \Delta H (\text{kJ/mol}) = \frac{1}{2} B + 150 \] For \( B + D \rightarrow E + 2C \), \( \Delta H \) will be
VITEEE - 2012
VITEEE
Chemistry
Thermodynamics
The order of reactivity of phenyl magnesium bromide (\( \text{PhMgBr} \)) with the following compounds is:
VITEEE - 2012
VITEEE
Chemistry
Organic Chemistry
Match the compounds given in List-I with List-II and select the suitable option using the codes given below:
VITEEE - 2012
VITEEE
Chemistry
Organic Chemistry
Which has the maximum number of molecules among the following?
VITEEE - 2012
VITEEE
Chemistry
Mole concept and Molar Masses
Which of the above compounds on being warmed with iodine solution and NaOH will give iodoform?
VITEEE - 2012
VITEEE
Chemistry
Aldehydes, Ketones and Carboxylic Acids
Which of the following is not a fat-soluble vitamin?
VITEEE - 2012
VITEEE
Chemistry
Biomolecules
Which of the following is not a fat-soluble vitamin?
VITEEE - 2012
VITEEE
Chemistry
Biomolecules
Which of the statements about 'Denaturation' given below are correct? (a) Denaturation of proteins causes loss of secondary and tertiary structures of the protein.
(b) Denaturation leads to the conversion of double strand of DNA into single strand.
(c) Denaturation affects the primary structure which gets destroyed.
VITEEE - 2012
VITEEE
Chemistry
Biomolecules
In the following reaction,
VITEEE - 2012
VITEEE
Chemistry
Organic Chemistry
Fructose reduces Tollen's reagent due to
VITEEE - 2012
VITEEE
Chemistry
Carbohydrates
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