List of top Questions asked in AP EAPCET- 2026

If the mean and variance of a random variable X having binomial distribution are 4 and 2 respectively, then \( P(X=2)= \)

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

One of the partial fractions of \[ \frac{2x^2+x-3}{(x^2+2)(3x-1)} \] is

A solution is prepared by adding 0.5 L of 0.5 M NaOH solution to 0.5 L of x M HCOOH solution. The pH of resultant solution is 4.74. What is x in mol $L^{-1}$? (pKa (HCOOH) = 3.74)

According to the kinetic theory of gases, the absolute temperature of a gas is directly proportional to

The order and degree of the differential equation $\left[1 + \left(\frac{dy}{dx}\right)^2\right]^{3/2} = \frac{d^2y}{dx^2}$ are respectively:

The locus of the point \(z=x+iy\) satisfying \[ \left|\frac{z-(2+i)}{z+(2-i)}\right|=2 \] is:

The hybridization of carbon in methane ($\text{CH}_4$) is

For a spontaneous process at constant temperature and pressure, the change in Gibbs free energy ($\Delta G$) is

The set of all the points at which \[ f(x)=|2-|x|| \] is continuous but not differentiable is:

In Young's double-slit experiment, the fringe width is proportional to

Energy released in the fission of a single \( {}_{92}\text{U}^{235} \) nucleus is 200 MeV. The fission rate of a \( {}_{92}\text{U}^{235} \) fueled reactor operating at a power level of 5W is:

In which of the following, pollutant in air/water is not correctly matched with its effect?

Evaluate: \[ \lim_{x\to e}\frac{\log x-1}{x-e} \]

A circle of radius \(r\) is drawn in a uniform electric field \(E\) as shown in figure. If \(V_A, V_B, V_C\) and \(V_D\) are the potentials at \(A,B,C\) and \(D\) respectively, then: center

center

The locus of the point which forms a right-angled triangle with the fixed points \((2,3)\) and \((5,1)\) is

The conversion of alkyl halide to alcohol by aqueous $\text{KOH}$ is an example of}

If $\omega$ is a complex cube root of unity, then $(1 - \omega + \omega^2)^5 + (1 + \omega - \omega^2)^5 =$

A convex lens of focal length $20 \text{ cm}$ is placed in contact with a concave lens of focal length $40 \text{ cm}$. The power of the combination is}

The method by which very pure nitrogen can be obtained is

The total number of electrons, protons and neutrons present in the three isotopes of hydrogen is

If a tangent drawn to the parabola \( y^{2}=16x \) meets the curve \( xy=4 \) at the points P and Q, then the locus of midpoint of PQ is