List of top Questions asked in AP EAPCET

A resistor of 100 \( \Omega \), an inductor of \( \frac{25}{\pi} \) mH, and a capacitor of 0.1 \( \mu \)F are connected in series to an ac source. The impedance of the circuit is minimum for a frequency of:
A car is moving along a circular path having coefficient of friction 0.5 and radius of curvature 16.2 m. Then the maximum velocity of the car that can travel without falling outwards is (Acceleration due to gravity = 10 ms\(^{-2} \))
Two photons each of energy \(2~\text{eV}\) incident simultaneously on a photosensitive material of work function \(3~\text{eV}\). The maximum kinetic energy of the emitted photoelectrons is
Three charges \(+Q\), \(q\), \(+Q\) are placed respectively, at distances \(0\), \(\frac{d}{2}\), and \(d\) from the origin on the x-axis. If the net force experienced by \(+Q\) placed at \(x = 0\) is zero, then the value of \(q\) is
n-type semiconductor is formed when germanium is doped with:
A gas of mass 'm' and molecular weight 'M' is flowing in an insulated tube with a velocity '2V'. If the flow of the gas is suddenly stopped and all the kinetic energy is utilized to compress the gas, the increase in the temperature of the gas is ($\gamma$ is ratio of specific heats, R is universal gas constant)
A Carnot's engine can have 100% efficiency if the temperature of the sink is
Tangent \( L_1 = 3x - 4y - 8 = 0 \) and the chord \( L_2 = x + y - 1 = 0 \) are at a distance of 2 and \( \sqrt{2} \) units respectively from the centre of a circle \( S \). \((h, k)\) is the centre of \( S \) such that \( h^2 + k^2 = 13 \). If the midpoint of the chord \( L_2 = 0 \) is \( (\alpha, \beta) \) and the radius of the circle is \( r \), then \( \alpha + \beta + r = \):
If $ S_n = \int_0^{\frac{\pi}{2}} \frac{\sin((2n-1)x)}{\sin x} \, dx $, and $ n $ is an integer, then $ S_{n+1} - S_n = $:
Let \( [x] \) represent the greatest integer not more than \( x \). The discontinuous points of the function \[ f(x) = \frac{5 + [x]}{\sqrt{11 + [x]} - 6x + 2 + [x]} \] lie in the interval:
Evaluate the integral: \[ \int \frac{e^x \left( 2 + \sin(2x) \right)}{1 + \cos(2x)} \, dx \]
The locus of the point on the curve \( y = \sin x \) where the tangent drawn at that point always passes through the point \( (0, \pi) \) is:
If four dice are thrown simultaneously, then the probability that none of the dice shows the number 1 on its face, is:
If \(g(x)\) is the inverse of the function \(f(x)\) and \(f'(x) = \dfrac{1}{h(x)}\), then what is the value of \(g'(x)\)?
If 5 dice are rolled simultaneously, then the number of ways of getting a total of 7 from the numbers on their faces is:
If \( \frac{\tan A}{1 - \cot A} + \frac{\cot A}{1 - \tan A} = \):
If \( 2\sinh x = \cosh x \), then \( x = \)
If \( A = \begin{bmatrix} 1 & 0 & 1 \\ 0 & 1 & 1 \\ 0 & 1 & 0 \end{bmatrix} \), then \( A^{-1} \) = ?
If $X_1, X_2, ..., X_n$ are $n$ independent events such that $P(X_r) = \frac{1}{r+1}$, for $r=1, 2, ..., n$, then the probability that none of the $n$ events occur is
If the tangent drawn to the curve \( y = x^3 - ax^2 + x + 1 \) at each point \( x \in \mathbb{R} \), is inclined at an acute angle with the positive direction of \( X \)-axis, then the set of all possible values of \( a \) is:
If \( \sinh x = \frac{5}{12} \), then \( \cosh \frac{x}{2} \) is:
If \(\vec{r}\) is the position vector of the centroid \(G\) of triangle \(ABC\) and \[ 2\hat{i} + \hat{j} - \hat{k} \quad \text{and} \quad 2\hat{i} + 4\hat{j} - 4\hat{k} \] are respectively the position vectors of its vertices \(A\) and \(B\), then \[ AG^2 + BG^2 + CG^2 =\ ? \]
An equation of a plane parallel to the plane \( x - 2y + 2z - 5 = 0 \) and which is at one unit distance from the origin is:
If the equation of the tangent drawn at \((h, k)\) to the hyperbola \(\frac{(x - 1)^2}{1} - \frac{(y - 2)^2}{2} = 1\) is \(x = 2\), then \(h + k =\)
If the sum of the coefficients of even powers of \( x \) in the expansion of \( (1 - x + x^2)^{2n} \) is 3281, then \( n \) is: