List of top Questions asked in AP EAPCET

If the tangent to the curve $ y = ax^2 + bx + c $ at the point $ (1,1) $ is parallel to the x-axis, and the curve passes through the point $ (2,3) $, then find the value of $ a + b + c $:

Let \[ f(x) = x^4 - 4x^3 + 6x^2 + k \] \text{If $f(x) \geq 0$ for all real $x$, then the value of $k$ is:}

A rectangular garden has a length that is 3 meters more than its width. If the area of the garden is 88 square meters, what is the width of the garden?

A straight conductor carries a current of 10 A. The magnetic field at a distance of 2 cm from the wire is: (μ₀ = 4 × 10⁻⁷ T m/A)

A wire of resistance 10 $\Omega$ is stretched to twice its original length. What is the new resistance?

A current of 2 A is passed through molten CaCl$_2$ for 1930 seconds. What is the mass of calcium deposited at the cathode? (Ca molar mass = 40 g/mol, valency = 2, Faraday's constant = 96500 C/mol)

Which of the following statements about photosynthesis is correct?

How many atoms are present in 1 mole of oxygen gas (O₂)?

For a reaction: $ A + B \rightarrow \text{Products} $ It is found that doubling the concentration of A doubles the rate, while doubling B increases the rate fourfold. What is the overall order of the reaction?

Which of the following compounds undergoes Markovnikov addition when treated with HBr?

The combustion of methane is represented by the equation: \[ \text{CH}_4(g) + 2\text{O}_2(g) \rightarrow \text{CO}_2(g) + 2\text{H}_2\text{O}(l) \] Given: $\Delta H_{\text{CH}_4} = -75 \, \text{kJ/mol}$
$\Delta H_{\text{CO}_2} = -393.5 \, \text{kJ/mol}$
$\Delta H_{\text{H}_2\text{O}} = -285.8 \, \text{kJ/mol}$
What is the enthalpy change ($\Delta H$) for the combustion of 1 mole of methane?

At 700 K, the equilibrium constant $K_e$ for the reaction $ \text{N}_2(g) + 3\text{H}_2(g) \rightleftharpoons 2\text{NH}_3(g) $ is 0.2 mol L$^{-2}$. What is the value of $K$ for the reverse reaction?

What is the distance between the points $(3, -2)$ and $(-1, 4)$?

One mole of an ideal gas at 300 K is compressed isothermally from a volume of $V_1$ to $V_2$. Calculate:
The work done on the gas
The change in internal energy
The heat exchanged with the surroundings
Use $R = 8.314\, \text{J/molK}$, $ \ln(2.5) = 0.916$

The enthalpy of combustion of methane is 890 kJ/mol. How much heat is released when 8 g of methane is burned completely? (Molar mass of CH$_4$ = 16 g/mol)

Which plant hormone is responsible for apical dominance?

A test tube of mass 8 g and uniform cross-sectional area 12 cm² is floating vertically in water. It contains 12 g of lead at the bottom. When the tube is slightly depressed and released, it performs vertical oscillations.
Find the time period of oscillation.

Which element has the smallest atomic radius among the following?

What is the equivalent weight of sulphuric acid (H₂SO₄) in a reaction where it donates 2 H⁺ ions?

Two particles are projected at angles $ \theta $ and $ (90^\circ - \theta) $ with the same speed of 25 m/s. If the second particle reaches 15 m higher than the first, then the angle of projection $ \theta $ is:

Two light waves of intensities $I_1 = 4I$ and $I_2 = I$ interfere. If the path difference between the waves is 25 % of the wavelength $\lambda$, find the resultant intensity at that point.