List of top Questions asked in TS EAMCET

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

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

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 $27^\circ C$?

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

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

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 $2b =$

The positive value of 'a' for which the system of linear homogeneous equations \( x+ay+z=0 \), \( ax+2y-z=0 \), \( 2x+3y+z=0 \) has non-trivial solutions is

The sum of bond order of \(O_2\), \(O_2^-\), \(O_2^{2-}\) and \(O_2^+\) is equal to

Nitrogen and oxygen of volumes one litre each at atmospheric pressure are mixed in a closed container of volume three litres. If the process is isothermal, the ratio of final pressure of the mixture and atmospheric pressure is

At absolute zero temperature, a semiconductor behaves like

A particle initially at rest is moving along a straight line with an acceleration of 2 ms⁻². At a time of 3 s after the beginning of motion, the direction of acceleration is reversed. The time from the beginning of the motion in which the particle returns to its initial position is