List of top Questions asked in TS EAMCET- 2025

\( ^{20}P_3 - ^{19}P_3 = \)

One of the roots of the equation \((x+1)^4 + 81 = 0\) is

The expression for K is given as a sum of terms up to infinity. Find the value of K.

$(\sqrt{3}+i)^{10} + (\sqrt{3}-i)^{10} =$

If the tangent and the normal drawn to the curve $xy^2 + x^2y = 12$ at the point (1,3) meet the X-axis in T and N respectively, then TN =

(a,b) are the new coordinates of the point (2,3) after shifting the origin to the point (3,2) by translation of axes. If (c,d) are the new coordinates of the point (a,b) after rotating the axes through an angle \( \frac{\pi}{4} \) about the origin in the anti-clockwise direction, then d-c =

How many of the following metals give oxides and nitrides when burnt in air? Be, Na, Mg, Ba, Sr, Li, K

Match the "Technology" given in List-1 with the "Principle of Physics" given in List-2.

Let $\vec{a}=\hat{i}-\hat{j}+\hat{k}$, $\vec{b}=\hat{i}-2\hat{j}-2\hat{k}$, $\vec{c}=6\hat{i}+3\hat{j}-2\hat{k}$ be three vectors. If $\vec{d}$ is a vector perpendicular to both $\vec{a}$, $\vec{b}$ and $|\vec{d}\times\vec{c}|=14$, then $|\vec{d}\cdot\vec{c}|=$

The relation between the displacement 'x' (in metre) and the time 't' (in second) of a particle is \( t = 2x^2+3x \). If the displacement of the particle is 25 cm from the origin (x=0), then the acceleration of the particle is

At $27^\circ C$, the $K_a$ of acetic acid is $1.8 \times 10^{-5}$. What is the percentage of ionization of 0.02M of this acid at $27^\circ C$?

A horizontal force of 10 N is applied on a block of mass 1.5 kg which is initially at rest on a rough horizontal surface. The work done by the applied force in a time of 6 s from the beginning of the motion is (Acceleration due to gravity = 10 ms\(^{-2}\); the coefficient of kinetic friction between the block and the surface is 0.2)

The radius of stationary state (\(n=2\)) of hydrogen atom is \(x\) pm. The radius of stationary state (\(n=3\)) of \( \text{He}^{+} \) ion (in pm) is

If \( f: \mathbb{R}-\{0\} \to \mathbb{R} \) is defined by \( 3f(x) + 4f\left(\frac{1}{x}\right) = \frac{2-x}{x} \), then \( f(3) = \)

\( (\frac{1+i}{1-i})^{228}\)

Mating of superior male of one breed and superior female of another breed is called

Which of the following solution has highest amount of solute?

Functions are formed from the set $A = \{a_1, a_2, a_3\}$ to another set $B = \{b_1, b_2, b_3, b_4, b_5\}$. If a function is selected at random, the probability that it is a one-one function is

The radius of second orbit of hydrogen atom is same as that of orbit (n) of an ion (x). n and x are respectively

The domain and range of $f(x) = \frac{1}{\sqrt{|x|-x^2}}$ are A and B respectively. Then $A \cup B = $ ?

If $A = \begin{pmatrix} 1 & 2 & 3 \\ 2 & 1 & 1 \\ 1 & 3 & 1 \end{pmatrix}$ and $B = \begin{pmatrix} 2 & 3 & 4 \\ 3 & 2 & 2 \\ 2 & 4 & 2 \end{pmatrix}$, then $\sqrt{|\text{Adj}(AB)|} =$

If the electric field of a plane electromagnetic wave is $E_z = 60\sin(0.5\times 10^3x + 1.5\times 10^{11}t)$ Vm$^{-1}$, then the magnetic field of the wave is

The equation of a transverse wave propagating on a stretched string is given by $y = 3\sin(4x + 200t)$, where $x$ and $y$ are in metre and the time $t$ is in second. If the tension applied to the string is $500\,\mathrm{N}$, the linear density of the string is

If the domain of the real valued function $f(x) = \frac{1}{\sqrt{\log_{\frac{1}{3}}\left(\frac{x-1}{2-x}\right)}}$ is $(a,b)$, then $2b =$

In Sr (Z=38), the number of electrons with \(l=0\) is x, number of electrons with \(l=2\) is y. \((x-y)\) is equal to (\(l\) = Azimuthal quantum number)