List of top Questions asked in AP EAMCET

If $ (a, \beta) $ is the orthocenter of the triangle with the vertices $ A(2, 5), B(1, 5), C(1, 4) $, then $ a + \beta = $:

For real values of $ x $ and $ a $, if the expression $ \frac{x+a}{2x^2 - 3x + 1} $ assumes all real values, then:

At STP $x$ g of a metal hydrogen carbonate (MHCO$_3$) (molar mass $84 \, {g/mol}$) on heating gives CO$_2$, which can completely react with $0.02 \, {moles}$ of MOH (molar mass $40 \, {g/mol}$) to give MHCO$_3$. The value of $x$ is:

A tightly wound coil of 200 turns and of radius 20 cm carrying current 5 A. Magnetic field at the centre of the coil is.

If the pair of lines represented by \[ 3x^2 - 5xy + P y^2 = 0 \] and \[ 6x^2 - xy - 5y^2 = 0 \] have one line in common, then the sum of all possible values of $ P $ is:

A bowling machine placed at a height $ h $ above the earth surface releases different balls with different angles but with the same velocity $ 10 \sqrt{3} \, \text{ms}^{-1} $. All these balls landing velocities make angles 30° or more with horizontal. Then the height $ h $ (in meters) is:

If $ a $ is a rational number, then the roots of the equation $ x^2 - 3ax + a^2 - 2a - 4 = 0 $ are:

Evaluate the integral $$ I = \int_1^5 \left( |x - 3| + |1 - x| \right) \, dx $$

A body of mass 4 kg is moving with a velocity 6 ms$^{-1}$ on a smooth surface. If it is brought to rest in 4 s, the force applied is:

If $ x $ is real and $ \alpha, \beta $ are maximum and minimum values of $ \frac{x^2 - x + 1}{x^2 + x + 1} $ respectively, then $ \alpha + \beta = $:

The following data is obtained for coagulating a positively charged sol in 2 hours:

What is the coagulating value of electrolyte for this sol?

Three particles of each mass $ m $ are kept at the three vertices of an equilateral triangle of side $ 1 $. The moment of inertia of the system of the particles about any side of the triangle is:

Which of the following molecules is not having glycosidic linkage?

Simplify the expression: $ 4 + \frac{1}{4 + \frac{1}{4 + \frac{1}{4 + \cdots}}} $

The vertical extension in a light spring by a weight of 1 kg suspended from the lower end is 9.8 cm. The time period of oscillation of the spring is:

The equation $ 2x^2 - 3xy - 2y^2 = 0 $ represents two lines $ L_1 $ and $ L_2 $. The equation $ 2x^2 - 3xy - 2y^2 - x + 7y - 3 = 0 $ represents another two lines $ L_3 $ and $ L_4 $. Let $ A $ be the point of intersection of lines $ L_1 $ and $ L_3 $, and $ B $ be the point of intersection of lines $ L_2 $ and $ L_4 $. The area of the triangle formed by the lines $ AB $, $ L_3 $, and $ L_4 $ is: .

A coil of two turns is made of a wire length L and another coil of four turns is made from same length L. When the same current is flowing in two coils, then the ratio of magnetic inductions at their centres is:

If the work done $W$, length $L$ and time $T$ are considered as the fundamental quantities, the dimensional formula for mass is:

Equation of the line touching both parabolas $ y^2 = 4x $ and $ x^2 = -32y $ is:

Time period of a simple pendulum in air is $ T $. If the pendulum is in water and executes SHM, its time period is $ t $. The value of $ \frac{T}{t} $ is [Density of bob is $ \frac{5000}{3} $ kg/m$^3$]

The relation between the force (F in newton) acting on a particle executing simple harmonic motion and the displacement of the particle (y in metre) is given by: \[ 500F + \pi^2 y = 0 \] If the mass of the particle is 2 g, the time period of oscillation of the particle is:

The RMS value of the electric field of an electromagnetic wave emitted by a source is $ 660 $ N/C. The average energy density of the electromagnetic wave is:

A Circle S passes through the points of intersection of the circles $ x^2 + y^2 - 2x + 2y - 2 = 0 $ and $ x^2 + y^2 + 2x - 2y + 1 = 0 $. If the centre of this circle S lies on the line $ x - y + 6 = 0 $, then the radius of the circle S is:

What is the kinetic energy (in $ {J/mol} $) of one mole of an ideal gas (molar mass = $0.01 \, {kg/mol}$) if its rms velocity is $4 \times 10^2 \, {m/s}$?

tan 9$^\circ$ - tan 27$^\circ$ - tan 63$^\circ$ + tan 81$^\circ$ =