List of top Questions asked in VITEEE

A circular current carrying coil has a radius $R$. The distance from the centre of the coil on the axis, where the magnetic induction will be $\frac{1}{8}$th to its value at the centre of the coil is
A circuit has a self-inductance of $1\,H$ and carries a current of $2\,A$. To prevent sparking, when the circuit is switched off, a capacitor which can withstand $400\, V$ is used. The least capacitance of capacitor connected across the switch must be equal to
Which of the following hydrogen bonds are strongest in vapour phase?
Which of the following isomerism is shown by ethyl acetoacetate?
Which of the following has an ester linkage?
A proton and an $\alpha$ -particle, accelerated through the same potential difference, enter a region of uniform magnetic field normally. If the radius of the proton orbit is $10 \,cm$, then radius of $\alpha$ -particle is
The Daniel cell is balanced on $125\, cm$ length of a potentiometer. Now, the cell is short circuited by a resistance of $2\, \Omega$ and the balance is obtained at $100\, cm$. The internal resistance of the denial cell is
The amplification factor of a triode is $50$. If the grid potential is decreased by $0.20\, V$. What increase,in plate potential will keep the plate current unchanged?
The output $Y$ of the logic circuit shown in figure is best represented as
The output $Y$ of the logic circuit shown in figure is best represented as
The standard molar heat of formation of ethane, $CO_2$ and water are respectively $-21.1, -94.1$ and $-68.3\, kcal$. The standard molar heat of combustion of ethane will be
The bond angles of $NH _{3}, NH _{1}^{+}$and $NH _{2}^{-}$are in the order
If we add impurity to a metal those atoms also deflect electrons. Therefore,
If the integers $m$ and $n$ are chosen at random from $1$ to $100$ , then the probability that a number of the form $7^{n}+7^{m}$ is divisible by $5$ , equals to
The sum of the series $ \displaystyle\sum_{r = 0}^{n}\left(-1\right)^{r}\, ^{n}C_{r}\left(\frac{1}{2^{r}}+\frac{3^{r}}{2^{2r}}+\frac{7^{r}}{2^{3r}}+\frac{15^{r}}{2^{4r}}+...m \text{terms}\right)$ is
The value of the integral $\int\limits ^{1/2}_{-1/2}\left[\left(\frac{x+1}{x-1}\right)^{^2}+\left(\frac{x+1}{x-1}\right)^{^2}-2\right]^{^{1/2}}\:\:dx$ is
The value of $2 \,tan^{-1} (cosec \,tan^{-1} x - tan \,cot^{-1} x))$ is
The angle of intersection of the circles $x^{2}+y^{2}-x+y-8=0$ and $x^{2}+y^{2}+2 x+2 y-11=0$ is
The number of integral values of $K$, for which the equation $7\, \cos \,x + 5\, \sin\, x = 2K + 1$ has a solution, is
If a tangent having slope of $-\frac{4}{3}$ to the ellipse $\frac{x^{2}}{18}+\frac{y^{2}}{34}=1$ intersects the major and minor axes in points $A$ and $B$ respectively, then the area of $\Delta OAB$ is equal to (O is the centre of the ellipse)
If $\alpha$ and $\beta$ are the roots of $x^{2}-ax+b=0$ and if $\alpha^{n}+\beta^{n}=V_{_n},$ then
The value of the determinant $\begin{vmatrix}1&cos \left(\alpha-\beta\right)&cos \alpha\\ cos \left(\alpha -\beta \right)&1&cos \beta\\ cos \alpha &cos \beta &1\end{vmatrix}$ is
If the points ($x_1$, $y_1$), ($x_2$, $y_2$) and ($x_3$, $y_3$) are collinear, then the rank of the matrix $\begin{bmatrix}x_{_1}&y_{_1}&1\\ x_{_2}&y_{_2}&1\\ x_{_3}&y_{_3}&1\end{bmatrix}$will always be less than
The line joining two points $A(2,0), B(3,1)$ is rotated about $A$ in anti-clockwise direction through an angle of $15^{\circ}$. The equation of the line in the now position,is
The line $2x+\sqrt{6y}=2$ is a tangent to the curve $x^{2}-2y^{2}=4$. The point of contact is