List of top Questions asked in AP EAPCET- 2025

If P($\alpha, \beta$) is the radical centre of the circles $S=x^2+y^2+4x+7=0$, $S'=2x^2+2y^2+3x+5y+9=0$ and $S''=x^2+y^2+y=0$, then the length of the tangent drawn from P to S' = 0 is

Evaluate: $ \int_0^{400\pi} \sqrt{1 - \cos 2x} \, dx $

At 298 K, the value of K$_p$ for N$_2$O$_4$(g) $\rightleftharpoons$ 2NO$_2$(g) is 0.113 atm. The partial pressure of N$_2$O$_4$ at equilibrium is 0.2 atm. What is the partial pressure (in atm) of NO$_2$ at equilibrium ?

The following equation is obtained for a first order reaction at 300 K.
$\log_{10} \frac{k}{A} = 0.00174$ What is the activation energy (in J mol$^{-1}$) of the reaction ?
(R = 8.314 J mol$^{-1}$ K$^{-1}$)

If $X$ is a binomial variate with mean $\frac{16}{5}$ and variance $\frac{48}{25}$, then $P(X \leq 2) =$

If the surface area of a spherical bubble is increasing at the rate of 4 sq.cm/sec, then the rate of change in its volume (in cubic cm/sec) when its radius is 8 cms is

If a solid sphere is rolling without slipping on a horizontal plane, then the ratio of its rotational and total kinetic energies is

Match the following:
List-I (Glycosidic linkage)
A. $\alpha$-1,4
B. $\beta$-1,4
C. $\alpha$-1,4, $\alpha$-1,6
List-II (Polysaccharide)
I. Amylose
II. Amylopectin
III. Cellulose

Consider the following statements
Statement-I: A function $ f: A \rightarrow B $ is said to be one-one if and only if \[ f(x) = f(y) \Rightarrow x = y \]
Statement-II: A relation $ f: A \rightarrow B $ is said to be a function if \[ x = y \Rightarrow f(x) \neq f(y) \]
Then which one of the following is true?

If $x>\sqrt{3$ and $\frac{x^2+1}{(x^2+2)(x^2+3)}$ is expanded in terms of powers of $x$, then the coefficient of $x^{-8}$ is}

If the average number of accidents occurring at a particular junction on a highway in a week is 5, then the probability that at most one accident occurs in a particular week is:

Evaluate the limit: \[ \lim_{x \to \infty} \frac{3x+4\cos^2x}{\sqrt{x^2-5\sin^2x}} \]

The angle of projection of a projectile whose path is shown in the given figure is:

In Young's double slit experiment, the distance between the slits is $ 0.2 $ cm, the distance between the screen and the slits is $ 1 $ m. If the wavelength of light used in the experiment is $ 5000 $ Å, then the distance between two consecutive dark fringes on the screen is:

If the maximum and minimum amplitudes of a modulated wave are $ 25 $ V and $ 5 $ V respectively, then the modulation index is:

At $ T $(K), hydrogen and oxygen gases are mixed in the ratio of $ 1:2 $ by mass in a closed vessel of volume $ V $ litres. If the total pressure of the gaseous mixture is $ p $ atm, the partial pressure of oxygen (in atm) is:

If $ \alpha, \beta $ are the acute angles such that $ \frac{\sin \alpha}{\sin \beta} = \frac{6}{5} $ and $ \frac{\cos \alpha}{\cos \beta} = \frac{9}{5\sqrt{5}} $ then $ \sin \alpha = $

If g is the inverse of the function f(x) and $ g(x) = x + \tan x $ then, $ f'(x) = $

Consider the following reaction A(g) + 3B(g) $ \longrightarrow $ 2C(g); $ \Delta H^\ominus = -24 $ kJ. At $25 \, ^\circ\text{C}$ if $ \Delta G^\ominus $ of the reaction is -9 kJ, the standard entropy change (in JK$^{-1}$) of the same reaction at same temperature is

Among the following compounds, which one is not responsible for the depletion of ozone layer?

If $ \frac{1}{2} \leq \frac{x^2+x+a}{x^2-x+a} \leq 2 \ \forall x \in \mathbb{R} $, then $ a = $

The radius of the circle passing through the points of intersection of the circles $ x^2+y^2+2x+4y+1=0 $, $ x^2+y^2-2x-4y-4=0 $, and intersecting the circle $ x^2+y^2=6 $ orthogonally is:

The logic gate equivalent to the circuit shown in the figure is:

Which set of elements form electron-precise hydrides?

Match the following pollutant concentration limits in water with their effects:

List-I (Pollutant Concentration Limit in Water)	List-II (Effect)
Pollutant 1	Effect 1
Pollutant 2	Effect 2
Pollutant 3	Effect 3
Pollutant 4	Effect 4