List of top Questions asked in AP EAMCET

Find the general solution of the differential equation: $$ (xy + y^2)dx - (x^2 - 2xy)dy = 0. $$ is

If a real-valued function $$ f(x) = \begin{cases} \frac{2x^2 + k(2x) + 9}{3x^2 - 7x - 6}, & \text{for } x \neq 3, \\ l, & \text{for } x = 3 \end{cases} $$ is continuous at $ x = 3 $ and $ l $ is a finite value, then $ l - k = $:

If the differential equation $$ x \, dy + (y + y^2 x) \, dx = 0 $$ with condition $ y = 1 $ at $ x = 1 $, then the solution is:

If the circles $ S = x^2 + y^2 - 14x + 6y + 33 = 0 $ and $ S' = x^2 + y^2 - a^2 = 0 $ (where $ a \in \mathbb{N} $) have 4 common tangents, then the possible number of values of $ a $ is:

If $$ y = 1 + x + x^2 + x^3 + \dots \quad \text{and} \quad |x| < 1, \text{ then } y'' = $$

If the equation of the circle whose radius is 3 units and which touches internally the circle $$ x^2 + y^2 - 4x - 6y - 12 = 0 $$ at the point $(-1, -1)$ is $$ x^2 + y^2 + px + qy + r = 0, $$ then $p + q - r$ is:

Assertion (A): Root pressure does not play a major role in water movement in tall trees.
Reason (R): Root pressure is responsible for pushing up water to small heights in stem.

The mass of particle X is four times the mass of particle Y. The velocity of particle Y is four times the velocity of X. The ratio of de Broglie wavelengths of X and Y is:

In $\triangle ABC$, $bc - r_2 r_3 = $

What is Z in the following set of reactions?

Acetophenone can be prepared from which of the following reactants?

What are $X$ and $Y$ in the following reactions?

What are $X$ and $Y$ respectively in the following reaction?

An alkyl halide C$_4$H$_8$Br(X) undergoes hydrolysis preferably in polar protic solvents. X can be prepared from which of the following reactants?

Two statements are given below:
I. SO₂ is used as antioxidant in wine
II. BHA is used as food preservative in dry fruits

Which of the following forces stabilize the secondary structure of proteins?
A. Hydrogen bonds
B. Covalent bonds
C. Disulphide linkages
D. Vander Waals forces

Observe the following amino acids:

Two statements are given below:
I. Cellulose acetate is rayon
II. Perlan-L is nylon 6, 6

Arrange the following complexes in increasing order of the number of unpaired electrons present in the central metal ion:
I. $ [Fe(CN)_6]^{3-} $
II. $ [Co(C_2O_4)_3]^{3-} $
III. $ [Mn(CN)_6]^{3-} $

Which one of the following ions is diamagnetic in nature?

The number of mixed oxides from the following is: \[ {Al}_2{O}_3, {Pb}_3{O}_4, {Mn}_2{O}_7, {Fe}_3{O}_4, {V}_2{O}_5, {Sb}_2{O}_3 \]

Malachite is a mineral of metal ‘X’. Its composition is:

Adsorption of a gas on a solid obeys the Freundlich adsorption isotherm. In the graph drawn between $\log (x/m)$ (on the y-axis) and $\log p$ (on the x-axis), the slope and intercept are found to be 1 and 0.3, respectively. If the initial pressure of the gas is 0.02 atm, the mass of the gas adsorbed per gram of solid is (${antilog } 0.3 = 2$).

The dispersed phase and dispersion medium in smoke, respectively, are:

A conductivity cell is filled with a solution of KCl of concentration 0.2 mol dm$^{-3}$ and its conductivity is 0.28 S m$^{-1}$. The resistance of this solution is 82.2 Ω. The same cell filled with a solution of 0.0025 mol dm$^{-3}$ K₂SO₄ showed a resistance of 325 Ω. The molar conductivity of K₂SO₄ solution (in S m² mol$^{-1}$) is: