List of top Questions asked in AP EAPCET

The charge $ q $ (in coulombs) passing through a $ 10 \Omega $ resistor as a function of time $ t $ (in seconds) is given by: \[ q = 3t^2 - 2t + 6 \] The potential difference across the ends of the resistor at time $ t = 5 $ s is:

The current passing through a coil of 120 turns and inductance $ 40 $ mH is $ 30 $ mA. The magnetic flux linked with the coil is:

If $3A = \begin{bmatrix} 1 & 2 & 2 \\[0.3em] 2 & 1 & -2 \\[0.3em] a & 2 & b \end{bmatrix}$ and $AA^T = I$, then$\frac{a}{b} + \frac{b}{a} =$:

If the line with direction ratios \[ (1, a, \beta) \] is perpendicular to the line with direction ratios \[ (-1,2,1) \] and parallel to the line with direction ratios \[ (\alpha,1,\beta), \] then $ (\alpha, \beta) $ is:

P is a point on $ x + y + 5 = 0 $, whose perpendicular distance from $ 2x + 3y + 3 = 0 $ is $ \sqrt{13} $, then the coordinates of P are:

Evaluate the integral \[ \int \frac{\sin^6 x}{\cos^8 x} \, dx. \]

Identify the correctly matched pair from the following:

The equation $ x^4 - x^3 - 6x^2 + 4x + 8 = 0 $ has two equal roots. If $ \alpha, \beta $ are the other two roots of this equation, then $ \alpha^2 + \beta^2 = $:

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:

The maximum height attained by the projectile is increased by 10% by keeping the angle of projection constant. What is the percentage increase in the time of flight?

The equation of the circle touching the circle \[ x^2 + y^2 - 6x + 6y + 17 = 0 \] externally and to which the lines \[ x^2 - 3xy - 3x + 9y = 0 \] are normal is:

An ideal gas is found to obey $ PV^{\frac{3}{2}} = \text{constant} $ during an adiabatic process. If such a gas initially at a temperature $ T $ is adiabatically compressed to $ \frac{1}{4} $th of its volume, then its final temperature is:

If the ordinates of points $ P $ and $ Q $ on the parabola \[ y^2 = 12x \] are in the ratio 1:2, then the locus of the point of intersection of the normals to the parabola at $ P $ and $ Q $ is:

The focal length of the objective lens of a telescope is 30 cm and that of its eye lens is 3 cm. It is focused on a scale at a distance 2 m from it. The distance of the objective lens from the eye lens to see the clear image is:

An urn contains 3 black and 5 red balls. If 3 balls are drawn at random from the urn, the mean of the probability distribution of the number of red balls drawn is:

Consider the following standard electrode potentials ($E^\circ$ in volts) in aqueous solution: \includegraphics[]{135.png} Based on this data, which of the following statements is correct?

Hydrated sodium aluminum silicate is called:

A metal block is made from a mixture of 2.4 kg of aluminium, 1.6 kg of brass, and 0.8 kg of copper. The metal block is initially at 20°C. If the heat supplied to the metal block is 44.4 calories, find the final temperature of the block if specific heats of aluminium, brass, and copper are 0.216, 0.0917, and 0.0931 cal.kg$^{-1}$°C$^{-1}$ respectively.

A machine with efficiency $ \frac{2}{3} $ used 12 J of energy in lifting a 2 kg block through a certain height and it is allowed to fall through the same. The velocity while it reaches the ground is:

The difference in radii between fourth and third Bohr orbits of $ He^+ $ (in m) is:

The length of the side of a cube is $ 1.2 \times 10^{-2} $ m. Its volume up to correct significant figures is:

A body is executing simple harmonic motion. At a displacement $ x $, its potential energy is $ E_1 $, and at a displacement $ y $, its potential energy is $ E_2 $. The potential energy $ E $ at a displacement $ (x + y) $ is: