List of top Questions asked in AP EAPCET

In any triangle $ ABC $, evaluate: $$ \frac{\cos A}{a} + \frac{\cos B}{b} + \frac{\cos C}{c} $$
Sides passing through vertex $ (\alpha, \beta) $ of a triangle are bisected at right angles by the lines: $$ y^2 - 8xy - ax^2 = 0 $$ Find the coordinates of the centroid of the triangle.
The pairs of straight lines \( 2x^2 + axy + 3y^2 = 0 \) and \( 2x^2 + bxy - 3y^2 = 0 \) share a common line, and the other lines are perpendicular. Then values of \( a \) and \( b \) are?
If $$ ^{10}C_2 = ^{3^{n+1}}C_3 $$ then the value of $ n $ is:
If variance of a Poisson distribution is 3, find: \[ P(1<X<4) \]
If $ a, b>0 $, then the minimum value of: $$ y = \frac{b^2}{a - x} + \frac{a^2}{x},\quad \text{for } 0<x<a $$
Find the distance between the directrices of the ellipse: \[ \frac{x^2}{36} + \frac{y^2}{20} = 1 \]
Given: \[ \text{CH}_3\text{COOC}_2\text{H}_5 + \text{H}_2\text{O} \rightarrow \text{CH}_3\text{COOH} + \text{C}_2\text{H}_5\text{OH} \] Initial concentrations: Ethyl acetate = 0.001 M, Water = 2 M 99% hydrolyzed in 10 s. Find rate constant \( k \).
The major product of the following reaction is (Grignard Reagent with D2}O)
Grignard Reagent with D2O
Which of the following reactions takes places when tertiary butanol passed over heated copper at 573 K ?
The standard Gibbs energy ($\Delta G^\ominus$) for the following reaction is A(s) + B$^{2+}$ (aq) $\rightleftharpoons$ A$^{2+}$ (aq) + B(s), K$_c$=10$^{12}$ at 25$^\circ$C (K$_c$= equilibrium constant)
The pH of 0.01 N lime water is
The anions (A) of \( \text{C}_p\text{A}_q \) molecule form an fcc lattice. Cations (C) are positioned at the body center and half of the edge centers. The formula of the molecule is:
Carbohydrates are stored in plants and animals in which of the following forms respectively?
The standard molar enthalpy of vaporisation ($\Delta_{vap}H^\ominus$) of A, B and C liquids is 23.3, 41 and 29 kJ mol$^{-1}$ respectively. The correct order of dipole-dipole attractive forces in these liquids is
A cubic lattice has A atoms at the body center, B atoms at the corners, C atoms at half of the face centers. The formula of the lattice is

Identify the major product from the following reaction sequence:

If \( \Delta x \) is the uncertainty in position and \( \Delta v \) is the uncertainty in velocity of a particle and both are equal, then the correct expression for uncertainty in momentum for the same particle is:
A light from Paschen series of hydrogen atom is able to eject photoelectrons from a metal. Then the work function of the metal is
The general formula of the compound formed when a metal (M) of group - 1 reacts with non metal (x) of group - 16 is

Match the Following: 

ProcessOptionExpression
A. Isothermal processiv\( W = -nRT \ln\left( \frac{V_f}{V_i} \right) \)
B. Adiabatic processiii\( W = \Delta U \)
C. Isobaric processii\( W = -P \times \Delta V \)
D. Isochoric processi\( q = \Delta U \)
A solution containing 6.0 g of urea is isotonic with a solution containing 10 g of a non-electrolytic solute X. The molar mass of X (in g mol\textsuperscript{-1}) is
The element with highest electronegativity after fluorine is:
Maximum number of electrons possible with spin quantum number \(+\frac{1}{2}\) and principal quantum number \(n = 4\) in an atom is:
The correct order of acidic nature of the following alkynes is:
I. \( \text{C}_2\text{H}_2 \)
II. \( (\text{CH}_3)_2\text{C}_2 \)
III. \( (\text{CH}_3)\text{C}_2\text{H} \)