List of top Questions asked in VITEEE

In a $\Delta A B C \frac{(a+b+c)(b+c-a)(c+a-b)(a+b-c)}{4 b^{2} c^{2}}$ equals

The angle between the lines whose direction cosines satisfy the equations $l+m+n=0, l^{2}+m^{2}-n^{2}=0$ is

What are $X$ and $Y$ in the following reaction sequence $C _{2} H _{5} OH \ce{->[{ Cl _{2} }]} \underline{X} \ce{->[{ Cl _{2}}]}\underline{Y}$

If the ratio of lengths, radii and Young's modulus of steel and brass wires shown in the figure are $a, b $ and $c$ respectively, the ratio between the increase in lengths of brass and steel wires would be

$pH$ of a buffer solution decreases by $0.02$ units when $0.12\,g$ of acetic acid is added to $250\, mL$ of a buffer solution of acetic acid and potassium acetate at $27^{\circ} C$. The buffer capacity of the solution is

The chemical entities present in thermosphere of the atmosphere are

The point $(3, -4)$ lies on both the circles $x^{2}+y^{2}-2x+8y+13=0$ and $x^{2}+y^{2}-4x+6y+11=0 $ Then, the angle between the circles is

For the following cell reaction $Ag \left| Ag ^{+}\right| AgCl \left| Cl ^{\ominus}\right| Cl _{2}, Pt$ $\Delta G ^{\circ} f ( AgCl )=-109\, kJ / mol$ $\Delta G ^{\circ} f \left( Cl ^{-}\right)=-129\, kJ / mol$ $\Delta G ^{\circ} f \left( Ag ^{+}\right) 78 \,kJ / mol$ $E ^{\circ}$ of the cell is

How many ' $mL$' of perhydrol is required to produce sufficient oxygen which can be used to completely convert $2 \,L$ of $SO _{2}$ gas to $SO _{3}$ gas?

If $f: R \rightarrow R$ is defined by $f(x)=\begin{cases}\frac{2 \sin x-\sin 2 x}{2 x \cos x}, & \text { if } x \neq 0 \\ a, & \text { if } x=0\end{cases}$ then the value of a so that f is continuous at $0$ is

If $m_{1}, m_{2}, m_{3}$ and $m_{4}$ are respectively the magnitudes of the vectors $\vec{ a }_{1}=2 \hat{ i }-\hat{ j }+\hat{ k }, \,\,\,\vec{ a }_{2}=3 \hat{ i }-4 \hat{ j }-4 \hat{ k }$ $\vec{ a }_{3}=\hat{ i }+\hat{ j }-\hat{ k } \,\,\,$ and $\,\,\,\vec{ a }_{4}=-\hat{ i }+3 \hat{ j }+\hat{ k }$ then the correct order of $m_{1}, m_{2}, m_{3}$ and $m_{4}$ is

The number of subsets of $\{1, 2, 3, ..., 9\} $containing at least one odd number is

The equations of the circle which pass through the origin and makes intercepts of lengths $4$ and $8$ on the $x$ and $y$-axes respectively are

The pairs of straight lines $x^{2}-3xy+2y^{2}=0 $ and $x^{2}-3xy+2y^{2}+x-2=0$ form a

The area (in square unit) of the circle which touches the lines $4 x+3 y=15$ and $4 x+3 y=5$ is

The area (in square unit) of the triangle formed by $x+y+1=0$ and the pair of straight lines $x^{2}-3xy=2y^{2}=0$ is

Which of the following sets consists only of essential amino acids ?

Which of the following is not a characteristic of transition elements ?

The continuous phase contains the dispersed phase throughout, Example is

Milk changes after digestion into :

Let [ ] denote the greatest integer function and f (x) = [tan$^2$ x]. Then

Which of the following is ketohexose ?

$Cl - P - Cl$ bond angles in $PCl_5$ molecule are

Alkyl cyanides undergo Stephen reduction to produce