List of top Questions asked in AP EAPCET- 2026

The value of \[ \lim_{n \to \infty} \left\{ \frac{1}{n+m} + \frac{1}{n+2m} + \frac{1}{n+3m} + \dots + \frac{1}{n+nm} \right\} \] is:

In a \(\triangle ABC\), \(a = 1, b = \sqrt{3}\) and \(\angle C = \frac{\pi}{6}\). Then the measure of the third side \(c =\)

If the area of triangle \(ABC\) is \(b^2 - (c - a)^2\), then \(\tan B =\)

In a triangle \(\triangle ABC\), if \(a, b,\) and \(c\) are in arithmetic progression, then \(\cos A + 2 \cos B + \cos C =\)

If \(I = \int \frac{\sin x + \sin^3 x}{\cos 2x} dx = P \cos x + Q \log \left| \frac{\sqrt{2} \cos x - 1}{\sqrt{2} \cos x + 1} \right|\) (where \(c\) is a constant of integration), then values of \(P\) and \(Q\) are respectively

A thin metal disc of radius \(r\) floats on water surface and bends the surface downwards along the perimeter making an angle \(\theta\) with vertical edge of the disc. If the disc displaces a weight of water \(W\) and surface tension of water is \(T\), then the weight of metal disc is

The coordinates of a particle moving in x-y plane at any instant of time \(t\) is \(x = 4t^2\); \(y = 3t^2\). The speed of the particle at that instant is:

The masses of two particles having same kinetic energies are in the ratio \(2 : 1\). Then their de Broglie wavelengths are in the ratio.

A particle is executing SHM of amplitude \(4\text{ cm}\) and time period \(4\text{ s}\). The time taken by it to move from positive extreme position to half the amplitude is

If \(x\) and \(y\) be the distances of the object and images formed by a concave mirror from its focus and \(f\) be the focal length then:

The equation of path of a projectile moving in x-y plane is given by $ y = x - \frac{x^2}{25} $, then the initial speed and maximum height of particle will be (take $ g = 10 \, \text{m/s}^2 $):

Two polaroids are oriented with their principal planes making an angle of $60^\circ$. Then the percentage of incident unpolarized light which passes through the system is:

Twenty seven drops of same size are charged at $220\text{ V}$ each. They combine to form a bigger drop. Calculate the potential of the bigger drop.}

A current loop of magnetic moment $ 0.5 \, \text{Am}^2 $ is placed in a magnetic field of $ 0.4 \, \text{T} $. If the loop is rotated from an angle of $ 0^\circ $ to $ 180^\circ $, what is the change in potential energy?}

The potential energy of a simple harmonic oscillator when the particle is half way to its end point is (where $ E $ is the total energy):

Identify the correct set of molecules with zero dipole moment:

Which of the following orders is not correct for the given property?

The IUPAC name of an element with atomic number 119 is:

The energy of the second bohr orbit of the hydrogen atom is $-328 \, \text{kJ mol}^{-1}$; hence the energy of the fourth bohr orbit would be:

The radius in the hydrogen atom in the ground state is $0.53$ \AA. The radius of $Li^{+2}$ ion (atomic number $= 3$) in a similar state is \ldots..

The equation of the normal to the curve \( y = \log_e x \) at the point \( P(1,0) \) is ____.

If the direction ratios of two lines are given by $ l + m + n = 0 $ and $ mn - 2ln + lm = 0 $, then the angle between the lines is:

Let the function $ f(x) $ be defined as $ f(x) = \frac{x - |x|}{x} $, then:

Gas is being pumped into a spherical balloon at the rate of $ 30 \, \text{ft}^3/\text{min} $. Then the rate at which the radius increases when it reaches the value $ 15 \, \text{ft} $ is:

Let \[ f(x)=\int \frac{\sqrt{x}}{(1+x)^2}\,dx \quad (x\geq 0) \] Then \[ f(3)-f(1) \] is equal to: