List of top Questions asked in AP EAPCET- 2026

A $5\text{ kg}$ block on a horizontal surface is pulled by a force of $15\text{ N}$. If the coefficient of friction between the block and the surface is $0.2$, then the acceleration of the block is [Take $g = 10\text{ ms}^{-2}$]:

A body which is initially at rest breaks into 2 pieces of masses $4M$ and $6M$ respectively, together having a total kinetic energy $E$. The piece with mass $4M$, after breaking has a kinetic energy of:

Acceleration varies as $a = 6t$. Starting from rest, the velocity of the particle after $t = 2\text{ s}$ is:

A particle moves in a horizontal circle. If its speed is doubled, the centripetal force acting on it becomes:

Evaluate $\int_{-\pi}^{\pi} \frac{\cos^2 x}{1+a^x} dx$

Evaluate $\int_0^{\pi/2} \sin^6 x \cos^4 x dx$

Solve $\cos(x+y)dy=dx$

The range of strong nuclear force is in the order of:

Eliminate constants from $y=A(x+B)^2$

Solve $(1+y^2)+(x-e^{-\tan^{-1}y})\frac{dy}{dx}=0$

Evaluate $\lim_{n\to\infty} \frac{1}{n^2}\sum_{r=1}^n r e^{r/n}$

If $\int \frac{\cos 8x + 1}{\cot 2x - \tan 2x} dx = A\cos 8x + c$, then $A =$

Area between $y^2=x$ and $y=|x|$ is:

The evaluation of the indefinite integral $\int \frac{dx}{\sin x + \sin 2x}$ is:

Evaluate $\int \frac{x-1}{(x+1)^3}e^x dx$:

If $\int x^5 e^{-4x^3} dx = \frac{1}{48}e^{-4x^3} f(x) + c$, then $f(x) =$

The maximum value of $y = x(\log x)^2$ is:

Evaluate $\int \frac{1+x^2}{\sqrt{1-x^2}} dx$:

If the displacement of a particle at time $t$ ($0 < t < \pi$) is given by $s = 3 \sin 2t - 6 \cos t$, then the acceleration for the values of $t$ at which its velocity is zero is:

The value of \[ \sin20^\circ\sin40^\circ\sin80^\circ \] is:

If $f(x) = \sqrt{3}\sin x - \cos x - 2ax + b$ decreases for all $x \in \mathbb{R}$, then:

The maximum area of a rectangle inscribed in a circle of radius $r$ is:

Let \[ \vec a=\hat i+2\hat j+2\hat k, \qquad \vec b=2\hat i+\hat j+2\hat k. \] If \(\theta\) is the angle between \(\vec a\) and \(\vec b\), then the value of \[ \cos\theta \] is:

Let \[ A= \begin{bmatrix} 1 & 2\\ 2 & 1 \end{bmatrix}. \] Then the determinant of \(A^2\) is:

The value of \[ \lim_{x\to0}\frac{\sin5x-5\sin x}{x^3} \] is: