List of top Questions asked in AP EAPCET- 2022

If $\dfrac{13x + 43}{2x^2 + 17x + 30} = \dfrac{A}{2x + 5} + \dfrac{B}{x + 6}$, then $A^2 + B^2 = $
The value of $\tan\left(\dfrac{7\pi}{8}\right)$ is
The sum of the real roots of the equation $|x - 2|^2 + |x - 2| - 2 = 0$ is
If $e^{i\theta = \cos\theta + i\sin\theta$ then}
$\sum_{n=0}^{\infty} \dfrac{\cos(n\theta)}{2^n} \div \sum_{n=0}^{\infty} \dfrac{\cos(n\theta)}{5^n} =$
If a set $A$ has $m$ elements and the set $B$ has $n$ elements, then the number of injections from $A$ to $B$ is
If $A = \begin{bmatrix} 2 & -3\\ -4 & 1 \end{bmatrix}$, then $(A^T)^2 + (12A)^T = $
If $A = \begin{bmatrix} 1 & 0 & 0 \\ a & -1 & 0 \\ b & c & 1 \end{bmatrix}$ is such that $A^2 = I$, then
Multiplicative inverse of the complex number $(\sin\theta, \cos\theta)$ is
Let $A = \begin{bmatrix} -2 & x & 1 \\ x & 1 & 1 \\ 2 & 3 & -1 \end{bmatrix}$. If the roots of the equation $\det A = 0$ are $l, m$ then $l^3 - m^3 =$
$\left\{ x \in \mathbb{R} \,\middle|\, \frac{\sqrt{|x^2 - 2|x| - 8}}{\log(2 - x - x^2)} \text{ is a real number} \right\} =$
The domain of the real valued function $f(x) = \sin\left(\log\left(\frac{\sqrt{4 - x^2}}{1 - x}\right)\right)$ is
The outer electronic configuration of \(\text{Pd}^{2+}\) is
The IUPAC name of the following complex is \([Co(NH_2CH_2CH_2NH_2)_2Br_2]Br\)
The correct statements with respect to dialysis of colloidal solution are:
I. Colloidal particles can pass through the membrane
II. Animal bladder can be used as membrane
III. Cellophane is not used as membrane
IV. Ions and small molecules can diffuse through membrane into water
The energy conversion involved in a galvanic cell is
The molality and molarity of a solution of glucose in water which is labeled as 10% (w/w) are respectively (density of solution = 1.2 g/mL)
1.8 g of glucose (molar mass 180 g/mol) is dissolved in 0.1 kg of water. The freezing point of the solution (in °C) is
(K$_f$ for water = 1.86 K kg mol$^{-1}$)
The major product ‘B’ of the following reaction sequence is
major product ‘B’ of the following reaction sequence is
The two stable isotopes of carbon present in the naturally occurring carbon are
The bond order values of anions of sodium peroxide and potassium super oxide are respectively
The conjugate base of NH$_4^+$ is
In long form of periodic table, the d-block element which forms interstitial hydride is
Arrange the following in the correct order of their bond orders: N$_2$, O$_2$, O$_2^+$, O$_2^-$
The element with the electronic configuration [Kr]4d$^{10}$5s$^0$ is
The average number of photons emitted per second by a laser of power \(6.6 \times 10^{-3}\) W producing a light of wavelength 600 nm is (Planck’s constant, \(h = 6.6 \times 10^{-34}\) J·s)