List of top Questions asked in AP EAMCET

Identify the set of molecules in which the central atom has only one lone pair of electrons in their valence shells:

The hybridization of aluminum in the complexes X and Y respectively is:

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) $:

Identify the autocatalytic reaction from the following:

If the circle S = 0 cuts the circles x² + y² - 2x + 6y = 0, x² + y² - 4x - 2y + 6 = 0, and x² + y² - 12x + 2y + 3 = 0 orthogonally, then the equation of the tangent at (0, 3) on S = 0 is:

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

Given are two statements regarding the properties of carbon in Group 14 of the periodic table:
Statement-I: Carbon has the highest catenation power in group 14 elements.
Statement-II: Carbon has small size and high electronegativity compared to other elements of group 14.

If the area of the triangle formed by the straight lines $-15x^2 + 4xy + 4y^2 = 0$ and $x = a$ is $200 \, {sq. units}$, then $|a| =$

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:

Evaluate the integral $ \int \frac{dx}{\sqrt{\sin^3 x \cdot \cos (x - \alpha)}} $:

If $ a $ is in the 3rd quadrant, $ \beta $ is in the 2nd quadrant such that $ \tan \alpha = \frac{1}{7}, \sin \beta = \frac{1}{\sqrt{10}} $, then \[ \sin(2\alpha + \beta) = \]

In the given LCR series circuit the quality factor is

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

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

The square root of the independent term in the expansion of \[ \left( \frac{2x^2}{5} + \frac{5}{\sqrt{x}} \right)^{10} \] is:

Water is flowing in a streamline manner in a horizontal pipe. If the pressure at a point where cross-sectional area is $ 10 $ cm$^2$ and velocity $ 1 $ m/s is $ 2000 $ Pa, then the pressure of water at another point where the cross-sectional area is $ 5 $ cm$^2$ is:

If the equation of the circle whose radius is 3 units and which touches internally the circle $$ x^2 + y^2 - 4x - 6y - 12 = 0 $$ at the point $(-1, -1)$ is $$ x^2 + y^2 + px + qy + r = 0, $$ then $p + q - r$ 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:

Evaluate the expression: \[ \sin^2 76^\circ + \sin^2 16^\circ - \sin 76^\circ \sin 16^\circ \]

In a spring-block system as shown in the figure, if the spring constant $ K = 9 \, {N/m} $, then the time period of oscillation is:

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

An inductor and a resistor are connected in series to an AC source of voltage $ 144\sin(100\pi t + \frac{\pi}{2}) $ volts. If the current in the circuit is $ 6\sin(100\pi t + \frac{\pi}{2}) $ amperes, then the resistance of the resistor is:

Identify the correctly matched set from the following: