List of top Questions asked in AP EAPCET

Let \( A = \begin{bmatrix} n & 0 & 0 \\ 0 & n & 0 \\ 0 & 0 & n \end{bmatrix} \) and \( B = \begin{bmatrix} 0 & 0 & n \\ 0 & n & 0 \\ n & 0 & 0 \end{bmatrix} \). Then \( A^2 + B^2 + AB = \)
Let \( z \) and \( w \) be two complex numbers such that \( \bar{z} + i\bar{w} = 0 \) and \( \text{Arg}(zw) = \pi \). Then \( \text{Arg}(z) = \)
If the complex numbers \( z_1, z_2, 0 \) are vertices of an equilateral triangle, then \( z_1^2 + z_2^2 = \)
Let \( z = x + iy \) be a complex number with \( x, y \in \mathbb{Z} \). Then the area (in square units) of the rectangle whose vertices are the roots of the equation \( \bar{z} \cdot z^3 + z \cdot \bar{z}^3 = 350 \) is:
If a function \( f \) satisfies \( f(x+1) + f(x-1) = \sqrt{2}f(x) \), then \( f(x+2) + f(x-2) = \)
The domain of the real-valued function \(f(x) = \frac{\sqrt{\log_{0.5}(x-3)}}{\sqrt{x-1}}\) is:
If the system of equations \(x+y-z=6\), \(3x-y+z=2\), and \(x+ky+z=-8\) has a unique solution \(x=2\), \(y=0\), \(z=-4\), then the value of \(k\) satisfies which quadratic equation?
The maximum value of \( f(x) = \frac{x}{1 + 4x + x^2} \) is
The minimum value of \( f(x) = x + \frac{4}{x + 2} \) is
If \( f(x) = \max \{3 - x, 3 + x, 6\} \) is not differentiable at \( x = a \) and \( x = b \), then \( |a| + |b| = \)
What are the oxidation states of the three Br atoms in the molecule \( \mathrm{Br_3O_6} \)?
The bond lengths of \( \mathrm{C_2} \), \( \mathrm{N_2} \), and \( \mathrm{B_2} \) molecules are \( X_1 \), \( X_2 \), and \( X_3 \) pm respectively. The correct order of their bond lengths is:
Arrange the following in decreasing order of their pK$_b$ values:
Arrange the following in decreasing order of their pKb values:
Identify the major product formed from the following:
Nai/dry acetone
When 1-chlorobutane is treated with aqueous KOH it gives P. However, when treated with alcoholic KOH it gives Q. Identify P and Q respectively.
Identify the major product formed in the following reaction sequence:
ch3cocl/anhyd alcl3
Arrange the following in increasing order of their reactivity for nucleophilic addition reaction:
Arrange the following in increasing order of their reactivity for nucleophilic addition reaction:
The diameter range of colloidal particles is approximately:
Photographic plates are prepared by coating emulsion of which of the following in gelatin?
What are x and y in the following reaction?
$x \text{Pb}_3\text{O}_4 \rightarrow y \text{PbO} + \text{O}_2$
Assertion (A): HCl gas is dried by passing through concentrated H$_2$SO$_4$
Reason (R): HCl gas reacts with NH$_3$ that gives white fumes
The catalyst used in the manufacture of polyethylene is a mixture of
Which of the following is correct related to the colours of TiCl$_3$ (X) and [Ti(H$_2$O)$_6$]Cl$_3$ (Y)?
The compound or ion which is not aromatic in the following is
The number of network solids and ionic solids in the list given below is respectively
H$_2$O (ice), AlN, Cu, CaF$_2$, diamond, MgO, CCl$_4$, ZnS, Ag, NaCl, SiO$_2$