List of top Questions asked in AP EAPCET

Solve: $$ 4^x - 3^{x - \frac{1}{2}} = 3^{x + \frac{1}{2}} - 2^{2x - 1} $$
The sum of the real roots of the equation: $$ x^4 - 2x^3 + x - 380 = 0 $$ is:
If one root of the cubic equation: $$ x^3 + 36 = 7x^2 $$ is double of another, then the number of negative roots is:
If $$ ^{10}C_2 = ^{3^{n+1}}C_3 $$ then the value of $ n $ is:
There are 10 points in a plane, out of which 6 are collinear. If $ N $ is the number of triangles that can be formed, then $ N = $ ?
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) $
By simplifying the expression: $$ i^{18} - 3i^7 + i^2(1 + i^4)(i^{22}) $$ we get:
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:
Which of the following is formed when SO3 is absorbed by concentrated H2SO4?
The crystal field theory is successful in explaining which of the following?
A ball is projected from the ground into the air. At a height of 5 m, its velocity is \( \vec{v} = (5 \hat{i} + 5 \hat{j}) \, \text{m/s} \). The maximum height reached by the ball is: \( (g = 10 \, \text{m/s}^2) \)
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
Let $f(x) = \begin{cases} \dfrac{1}{|x|}, & |x|>1 \\ ax^2 + b, & |x| \leq 1 \end{cases}$. If $\lim_{x \to 1} f(x)$ and $\lim_{x \to -1} f(x)$ exist, then the possible values for $a$ and $b$ are
In semiconductors, which of the following are true:
Identify the major product of the following reaction: bromination of aniline (Br2} + NaOH).
bromination of aniline (Br2 + NaOH).
Finkelstein reaction is used for the synthesis of
Which among the following will have highest density?
Identify the major product (Y) from the following reaction.
major product (Y) from the following reaction
An aryl carboxylic acid on treatment with sodium hydrogen carbonate liberates a gaseous molecule. Identify the gas molecule liberated.
The macromolecular colloids of the following are:
Assertion (A): Animal skins are colloidal in nature.
Reason (R): Animal skin has positively charged particles.
In the reaction of phosphorous with conc. HNO3, the oxidized and reduced products respectively are
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