List of top Questions asked in AP EAPCET- 2025

A circle touches the line \(2x + y - 10 = 0\) at (3, 4) and passes through the point (1, -2). Then a point that lies on the circle is
If a straight current-carrying wire of linear density $0.12~\text{kg/m$ is suspended in mid-air by a uniform horizontal magnetic field of $0.5~\text{T}$ normal to the length of the wire, then the current through the wire is (Neglect earth’s magnetic field)}
Two concentric loops $A$ and $B$ of same radius $2\pi~\text{cm$ are placed at right angles to each other. If the currents flowing through $A$ and $B$ are $3~\text{A}$ and $4~\text{A}$ respectively, then the net magnetic field at their common center is}
A short bar magnet is placed in a uniform magnetic field of $2~\text{T}$ such that the axis of the magnet makes an angle of $45^\circ$ with the field. If the torque acting is $0.36~\text{Nm}$, the magnetic moment of the magnet is
If \( \int e^{\sin x}(1 + \sec x \tan x)\, dx = e^{\sin x}f(x) + c \), then in \( 0 \leq x \leq 2\pi \), the number of solutions of \( f(x) = 1 \) is
The specific conductance of 0.05 M NaOH solution is 0.0115 S cm$^{-1}$. What is its molar conductance ($\Lambda_m$) in S cm$^2$ mol$^{-1}$?
For the reaction: A + 2B $\rightarrow$ 3C + 2D, if rate of disappearance of B is $x \times 10^{-2}$ mol L$^{-1}$ s$^{-1}$, the ratio of rate of reaction to rate of appearance of C is:

Match the following:

List-I (Aquated ion)List-II (Colour)
A) Ni\(^{2+}\)V) Green
B) Fe\(^{3+}\)III) Yellow
C) Mn\(^{3+}\)I) Violet
D) V\(^{4+}\)II) Blue
If \[ \left(\frac{\cos \theta + i \sin \theta}{\sin \theta + i \cos \theta}\right)^{2024} + \left(\frac{1 + \cos \theta + i \sin \theta}{1 - \cos \theta + i \sin \theta}\right)^{2025} = x + iy, \] and $x + y$ at $\theta = \frac{\pi}{2}$ is
At 300 K, vapour pressure of pure liquid A is 70 mm Hg. It forms an ideal solution with liquid B. Mole fraction of B = 0.2 and total vapour pressure of solution = 84 mm Hg. What is vapour pressure (in mm) of pure B?
If \( \int \frac{dx}{(x-1)^2(x-3)^2 = \sqrt{f(x)} + c \), then \( f(-1) - f(0) = \)}
If $a = \ln \left( \frac{1}{z^2} \right)$ and $z$ is any non-zero complex number such that $|z| = 1$, then which of the following is the correct expression for $a$?
A liquid drop of diameter $D$ splits into $3375$ small identical drops. If $S$ is the surface tension of the liquid, then the change in the surface energy in the process is
If (a, b) is the common point of the circles \(x^2 + y^2 - 4x + 4y - 1 = 0\) and \(x^2 + y^2 + 2x - 4y + 1 = 0\), then \(a^2 + b^2 =\)
The speed of a stationary wave represented by the equation $y = 0.75 \sin\left(\dfrac{7\pi}{4}x\right)\cos(350\pi t)$ is
A body of mass $1~\text{kg$ is attached to the lower end of a vertically suspended spring of force constant $600~\text{N/m}$. If another body of mass $0.5~\text{kg}$ moving vertically upward hits the suspended body with a velocity $3~\text{m/s}$ and is embedded in it, then the frequency of the oscillation is}
Domain of the real-valued function \(f(x) = \log(x^2 - 1) + x \, \coth^{-1}x\) is
The kinetic energy of a particle executing simple harmonic motion at a displacement of $3~\text{cm$ from the mean position is $4~\text{mJ}$. If the amplitude of the particle is $5~\text{cm}$, then the maximum force acting on the particle is}
For an observer on the earth, if a spectral line of wavelength $6600~\mathring{A$ emitted by a star is found to be redshifted by $22~\mathring{A}$, then the star is}
In \(\triangle ABC\), if \(a + c = 5b\), then \(\cot\dfrac{A}{2} \cdot \cot\dfrac{C}{2} =\)
A straight wire of resistance $18~\Omega$ is bent in the form of an equilateral triangle. The effective resistance between any two vertices of the triangle is
The power dissipated by a uniform wire of resistance $100~\Omega$ when a potential difference of $120~\text{V$ is applied across its ends is}
A car is moving with a velocity of $4~\text{m/s}$ towards east. After a time of $4~\text{s}$, it is heading north-east with a velocity of $4\sqrt{2}~\text{m/s}$. Then the average velocity of the car is
Two bodies of masses $2~\text{kg}$ and $3~\text{kg}$ move at right angles with velocities $20~\text{m/s}$ and $10~\text{m/s}$ respectively.
Then the velocity of the centre of mass of the system is
Consider the following
Statement-I: During isothermal expansion of an ideal gas its enthalpy decreases.
Statement-II: When 2.0 L of an ideal gas expands isothermally into vacuum, $\Delta U = 0$.