List of top Questions asked in AP EAPCET- 2022

If $f(f(0)) = 0$, where $f(x) = x^2 + ax + b$, $b \neq 0$, then $a + b =$
The product formed in the given reaction is Phenylmagnesium bromide (C$_6$H$_5$-MgBr) reacting with D$_2$O, leading to product ?.
If \( b \) and \( c \) are non-zero real numbers, and \[ A = \begin{bmatrix} 1 & b & c \\ b & 2 & 3 \\ c & 3 & 4 \end{bmatrix}, \quad B = \begin{bmatrix} 0 & b & c \\ -b & 0 & 2 \\ -c & -2 & 0 \end{bmatrix}, \] then \( \det(A + B) = \) ?
If \( \frac{a}{a_1} = \frac{b}{b_1} \), then the substitution used to solve the differential equation \(\frac{dy}{dx} = \frac{ax + by + c}{a_1x + b_1y + c_1} \) using separation of variables is:
Evaluate \( \int_{-\pi}^{\pi} \frac{\cos^{2022}x}{1 + (2022)^x} \, dx \).
The number of radial nodes and angular nodes in a 4f orbital are respectively:
In the reaction of phosphorous with conc. HNO3, the oxidized and reduced products respectively are
How many grams of Mg is required to completely reduce 100 mL, 0.1 M $\mathrm{NO}_3^-$ solution using the following reaction? $\mathrm{NO}_3^- + \mathrm{Mg} \to \mathrm{Mg}^{2+} + \mathrm{NH}_3$
Consider a disc of radius \( R \) and mass \( M \). A hole of radius \( \frac{R}{3} \) is created in the disk such that the center of the hole is \( \frac{R}{3} \) away from the center of the disc. The moment of inertia of the remaining system about the axis perpendicular to the disc and passing through the original center is:
A natural number $n$ such that $n!$ ends in exactly 1000 zeros is
A reaction gas mixture contains 50%, 30%, 20% of A, B and C by volume respectively. The mixture undergoes the following reactions: \[ \text{(i) } A + 2B \rightarrow P_1 \\ \text{(ii) } 2P_1 + 3C \rightarrow P_2 \] Choose the correct answer if the reaction completes.
Elements A and B have FCC and BCC structures respectively with unit cell edge length \( a = 3 \, \text{Å} \).
The number of atoms in 210 g of A = number of atoms in 594 g of B.
If density of A is \( 7 \, \text{g/cm}^3 \), what is the density of B?
On the locus of the point \( P(x, y) \) equidistant from \( (3, 0) \) and \( (0, 4) \), if \( A \) and \( B \) are two points that satisfy \( 4x = 3y \) and \( x = y \) respectively, then the distance between A and B is:
Suppose ABOC is a rhombus in the first quadrant with O being the origin. If the vertices B and C of \(\triangle ABC\) lie respectively on \(y=\frac{x}{\sqrt{3}}\) and \(y=0\), and the side BC passes through \((\frac{2}{3}, \frac{2}{3})\), then the midpoint of BC is
If \( \sin\left(x + \frac{\pi}{3}\right) + \sin\left(x - \frac{\pi}{3}\right) = 1 \), then the value of \( x \) in the interval \( [0, \pi] \) is:
A sphere of surface area \( 4 \, \text{m}^2 \), temperature 400 K, emissivity 0.5 is in an environment of 200 K. The net rate of energy exchange is (take \( \sigma = 5.67 \times 10^{-8} \, \text{Wm}^{-2} \text{K}^{-4} \))
If f is a relation from set of positive real numbers to the set of positive real numbers defined by \(f(x) = 3x^2-2\) then f is
\( \int \frac{dx}{(1+\sqrt{x})^{2022}} = \)
If \( \frac{d}{dx} \left( \frac{x^2+1}{(x^2+5)(x^2+9)} \right) = \frac{2x(x^2+1)}{(x^2+5)(x^2+9)} \left[ \frac{1}{f(x)} - \frac{1}{g(x)} - \frac{1}{h(x)} \right] \), then \( 2h(x)-f(x)-g(x) = \)
The equation of the line which is a normal to the curve \(3x^2-xy+y^2=3\) at \((1,1)\) is
Among the ions O$^{2-}$, Na$^+$, F$^-$, N$^{3-}$, Mg$^{2+}$ the ions with smallest and largest radii are respectively
Identify the correct statements:
If $ \sin \theta = -\frac{3}{4} $, then compute $ \sin 2\theta $

Identify the product(s) formed in the following reaction:

The molecule which has more number of lone pair of electrons than the bond pair of electrons in its central atom is