List of top Questions asked in AP EAMCET- 2024

Match the following ($ f $ is the number of degrees of freedom): \includegraphics[]{100.png}

If \[ \cos \alpha + 4 \cos \beta + 9 \cos \gamma = 0 \quad \text{and} \quad \sin \alpha + 4 \sin \beta + 9 \sin \gamma = 0, \] then \[ 81 \cos (2\gamma - 2\alpha) - 16 \cos (2\beta - 2\alpha) = ? \]

A force of $ (4\hat{i} + 2\hat{j} + \hat{k}) $ N is acting on a particle of mass $ 2 $ kg displaces the particle from a position of $ (2\hat{i} + 2\hat{j} + \hat{k}) $ m to a position of $ (4\hat{i} + 3\hat{j} + 2\hat{k}) $ m. The work done by the force on the particle in joules is:

If $ \omega $ is the cube root of unity, then: \[ \frac{a + b\omega + c\omega^2}{c + a\omega + b\omega^2} = \frac{a + b\omega + c\omega^2}{b + c\omega + a\omega^2} \]

If the period of the function $ f(x) = \frac{\tan 5x \cos 3x}{\sin 6x} $ is $ \alpha $, then find $ f \left( \frac{\alpha}{8} \right) $:

In a triangle, if the angles are in the ratio $ 3:2:1 $, then the ratio of its sides is:

The rate of change of $ x^{\sin x} $ with respect to $ (\sin x)^x $ is:

The elastic energy stored per unit volume in terms of longitudinal strain $ e $ and Young’s modulus $ Y $ is:

A blue lamp emits light of mean wavelength 4500${Å}$. The lamp is rated at 150 W and 8% efficiency. Then the number of photons are emitted by the lamp per second.

Which of the following alkenes does not undergo anti-Markovnikov addition of HBr?

Match the following

What are X and Y respectively in the following reactions?

If the slope of one of the pair of lines represented by $ 2x^2 + 3xy + Ky^2 = 0 $ is 2, then the angle between the pair of lines is:

In the given circuit the currents are $ I_1 = 5A $, $ I_4 = 10A $, and $ I_5 = 15A $. Analyzing the circuit using Kirchhoff’s laws, then $ I_2 $, $ I_3 $, and $ I_6 $ values are:

If the matrix is:
$\left| \begin{array}{ccc} a & 1 & 1 \\ 1 & b & 1 \\ 1 & 1 & c \end{array} \right|>0, \text{ then } abc>?$

The set of all real values of $x$ satisfying the inequality $\frac{7x^2 - 5x - 18}{2x^2 + x - 6}<2$ is

For $|x|<\frac{1}{\sqrt{2}}$ the coefficient of $x$ in the expansion of $\frac{(1-4x)^2(1-2x^2)^{1/2}}{(4-x)^{3/2}}$ is

If $ P $ is a point which divides the line segment joining the focus of the parabola $ y^2 = 12x $ and a point on the parabola in the ratio 1:2, then the locus of $ P $ is:

Let $ [P] $ denote the greatest integer $ \leq P $. If $ 0 \leq a \leq 2 $, then the number of integral values of $ a $ such that $ \lim_{x \to a} [x^2] - [x]^2 $ does not exist is:

Find the domain of $ f(x) $ given: \[ \int \frac{\sin x \cos x}{\sqrt{\cos^4 x - \sin^4 x}} dx = -\frac{f(x)}{2} + C. \] then domain of f{x) is

Two light waves of intensities $ I $ and $ 2I $ superimpose on each other. If the path difference between the light waves reaching a point is 12.5% of the wavelength of the light, then the resultant intensity at the point is (Both the light waves have the same wavelength)

Hydrolysis of XeF$_4$ gives HF, O$_2$, Xe and 'X'. The structure of 'X' is

The energy released in the fission of one $_{92}^{235}{U}$ nucleus is 200 MeV. The energy released in the fission of 235 g of $_{92}^{235}{U}$ is nearly:

A lens with refractive index $ \frac{3}{2} $ has a power of +5 diopters in air. If it is completely immersed in water, its power is (in diopters).
The refractive index of water is $ \frac{4}{3} $

If $ \alpha, \beta, \gamma $ are the roots of the determinant equation: \[ \begin{vmatrix} 1-x & -2 & 1
-2 & 4-x & -2
1 & -2 & 1-x \end{vmatrix} = 0 \] then $ \alpha \beta + \beta \gamma + \gamma \alpha $ is: