List of top Questions asked in AP EAPCET- 2022

Which of the following trigonometric values are negative?
  • I) $ \sin(-292^\circ) $
  • II) $ \tan(-193^\circ) $
  • III) $ \cos(-207^\circ) $
  • IV) $ \cot(-222^\circ) $
Solve: $$ 4^x - 3^{x - \frac{1}{2}} = 3^{x + \frac{1}{2}} - 2^{2x - 1} $$
If $$ S = \left\{ m \in \mathbb{R} : x^2 - 2(1 + 3m)x + 7(3 + 2m) = 0 \text{ has distinct roots} \right\} $$ then the number of elements in $ S $ is:
If one root of the cubic equation: $$ x^3 + 36 = 7x^2 $$ is double of another, then the number of negative roots is:
Let $$ G(x) = \begin{bmatrix} \cos x & -\sin x & 0 \\ \sin x & \cos x & 0 \\ 0 & 0 & 1 \end{bmatrix} $$ If $ x + y = 0 $, then evaluate $ G(x)G(y) $
Find the values of $ x $ for which the expressions $$ \sin x + i\cos 2x \quad \text{and} \quad \cos x - i\sin 2x $$ are conjugate to each other.
The locus of a point $ z $ satisfying: $$ |z|^2 = \text{Re}(z) $$ is a circle with centre:
The crystal field theory is successful in explaining which of the following?
If $f(x) = \begin{cases} \dfrac{x^2 \log(\cos x)}{\log(1+x)}, & x \neq 0 \\ 0, & x = 0 \end{cases}$, then at $x=0$, $f(x)$ is
Identify the major product of the following reaction: bromination of aniline (Br2} + NaOH).
bromination of aniline (Br2 + NaOH).
Identify the major product (Y) from the following reaction.
major product (Y) from the following reaction
Finkelstein reaction is used for the synthesis of
Assertion (A): Animal skins are colloidal in nature.
Reason (R): Animal skin has positively charged particles.
Assertion (A): Transition metals and their complexes show catalytic activity.
Reason (R): The activation energy of a reaction is lowered by the catalyst.
The hybridizations of carbon in graphite, diamond and C60 are respectively
Match List I with List II:
The empirical formula of Calgon is
The set of molecules in which the central atom is not obeying the octet rule is
From the following plots, find the correct option regarding $T_1, T_2, P_1, P_2$
correct option regarding T1,T2,P1,P2
Which of the following elements are arranged in the correct order of their electron gain enthalpies?
Carrier wave and modulating wave voltages increase by 1% and 3%. Find change in modulation index.
If radius of nucleus with mass number 64 is 4.8 fermi, find mass number of nucleus of radius 6 fermi.
Light of intensity 12 W/m\(^2\) is incident on 4 cm\(^2\) black surface. Find radiation pressure.
A steel wire with magnetic moment \( M \) and length \( l \) is bent into semicircle of radius \( R \). Find new magnetic moment.
A magnetic needle points down at \(30^\circ\) to the horizontal. Horizontal component of earth’s magnetic field = 0.3 G. Find the total magnetic field.