List of top Questions asked in VITEEE- 2008

The directrix of the parabola \(y^2 + 4x + 3 = 0\) is
If \(I=\int \frac{x^5}{\sqrt{1+x^3}}\,dx\), then \(I\) is equal to
Let \([\,]\) denote the greatest integer function and \(f(x)=[\tan^2 x]\). Then
If \(g(x)\) is a polynomial satisfying \(g(x)g(y)=g(x)+g(y)+g(xy)-2\) for all real \(x\) and \(y\) and \(g(2)=5\), then \(\lim_{x\to 3} g(x)\) is
Let A and B are two fixed points in a plane then locus of another point C on the same plane then CA+CB = constant, \(>AB\) is
If \(\left|\frac{z-25}{z-1}\right|=5\), the value of \(|z|\)
The center and radius of the sphere \(x^2+y^2+z^2-3x-4z+1=0\) are
The shortest distance between the straight lines through the points \(A_1=(6,2,2)\) and \(A_2=(-4,0,-1)\), in the directions of \((1,-2,2)\) and \((3,-2,-2)\) is
Argument of the complex number \(\left(\frac{-1-3i}{2+i}\right)\) is
In a triangle ABC, the sides \(b\) and \(c\) are the roots of the equation \(x^2-61x+820=0\) and \(A=\tan^{-1}\left(\frac{4}{3}\right)\), then \(a^2\) is equal to
The simplified expression of \(\sin(\tan^{-1}x)\), for any real number \(x\) is given by
The equation \(r^2 - 2\vec{r}\cdot\vec{c} + h = 0,\ |\vec{c}|>\sqrt{h}\), represents
Identify the reactant
Maleic acid and Fumaric acid are
The gas evolved on heating alkali formate with soda-lime is
When ethyl alcohol is heated with conc. H\(_2\)SO\(_4\), product obtained is
Anisole is the product obtained from phenol by the reaction known as
Ethylene glycol gives oxalic acid on oxidation with
Hydroboration oxidation of 4-methyl-octene would give
Diamond is hard because
If an endothermic reaction occurs spontaneously at constant temperature \(T\) and pressure \(P\), then which of the following is true?
A spontaneous process is one in which the system suffers :
Hair dyes contain
The magnetic moment of a salt containing Zn\(^{2+}\) ion is
Which of the following is not a characteristic of transition elements ?