List of top Questions asked in AP EAPCET- 2023

If $ f(x) = \int_0^x \frac{5t^8 + 7t^6}{(t^2 + 2t + 1)^2} dt $ and $ f(0) = 0 $, then the value of $ f(1) $ is:

If $ O $ is the origin and $ P, Q $ are points on the line $ 3x + 4y + 15 = 0 $ such that $ OP = OQ = 9 $, then the area of $ \triangle OPQ $ is:

The Cartesian form of the curve given by $ x = \frac{a}{2}\left(t + \frac{1}{t}\right) $, $ y = \frac{a}{2}\left(t - \frac{1}{t}\right) $, where $ t $ is a parameter, is:

If $ \vec{E} $ and $ \vec{B} $ are the electric and magnetic field vectors of an electromagnetic wave, then the direction of propagation of the electromagnetic wave is

Which of the following statements are true about acceleration due to gravity $ g $?
A. $ g $ is greater at poles.
B. $ g $ decreases with height.
C. $ g $ is same all over Earth.
D. $ g $ is maximum at centre of Earth.

If the difference between the mean and variance of a binomial variate is $ \dfrac{5}{9} $, then the probability of getting 2 successes for an event when the experiment is conducted 5 times is:

DDT is

If the equation of the tangent drawn at $(h, k)$ to the hyperbola $\frac{(x - 1)^2}{1} - \frac{(y - 2)^2}{2} = 1$ is $x = 2$, then $h + k =$

The external work done when air expands from 10 litres to 15 litres at a pressure of 2 atm is:

If the solution for the system of equations \[ x + 2y - z = 3, \ 3x - y + 2z = 1, \ 2x - 2y + 3z = 2 \] is $ ( \alpha, \beta, \gamma ) $, then find the value of $ \alpha^2 + \beta^2 + \gamma^2 $.

The materials which can be stretched to cause large strains are called as

If $E_o$ and $B_o$ are the magnitudes of the electric and magnetic fields respectively of an electromagnetic wave in vacuum, then among the following the correct relation is ($\mu_o$ -- permeability of free spa, $\varepsilon_o$ -- permittivity of free spa)

The following is not used as a nuclear fuel.

Let A, A' be the end points of major axis, S, S' be the foci and B, B' be the end points of minor axis of an ellipse E. If $\angle \text{BAB}' = 60^\circ$, then $\angle \text{SBS}' =$

The electric field in $ N C^{-1} $ of an electromagnetic wave is $ E = 36 \sqrt{\pi} \sin ( \omega t - kx) $. The average energy density of the electromagnetic wave due to the electric field is:

In a p-n-p transistor,

Two simple pendulums of lengths 1 m and 2 m are in phase at the mean position at a certain instant of time. The pendulums will be again in phase at a time of $ \frac{3T}{2} $, where $ T $ is the time period of the shorter pendulum. Then $ x = $?

Let $ S $ be a circle concentric with the circle $ 3x^2 + 3y^2 + x + y - 1 = 0 $. If the length of the tangent drawn from a point $ (2, -2) $ to the given circle is the radius of the circle $ S $, then the power of the point $ (2, 1) $ with respect to the circle $ S $ is

The equation of motion of a particle executing simple harmonic motion is given by: \[ 4\frac{d^2y}{dt^2} + \pi^2 y = 0 \] where $ y $ is in meters and $ t $ is in seconds. The time period of oscillation of the particle is:

Identify the correct statements about chemisorption:

I) It is irreversible adsorption
II) Enthalpy of adsorption is in the range of 20-40 kJ mol$^-1$
III) It is unlayered adsorption
IV) It does not need appreciable activation energy

Identify the pair in which both are not extensive properties.

Among the following, the correct statements are
I. Lithium forms solid hydrogen carbonate
II. LiCl is soluble in ethanol
III. The formula of lithium oxide is LiO
IV. Lithium hydroxide decomposes on heating

If $ \int f(x)\,dx = \Psi(x) $, then $ \int x^5 f(x^3)\,dx = $:

Which is the correct option for the following reaction? \[ 2\,\text{CH}_3\text{CH}_2\text{Br} \xrightarrow{\text{2Na/Dry ether}} \text{?} \]

The range of the real valued function $ f(x) = \sqrt{9 - x^2} $ is: