List of top Questions asked in AP EAPCET

The domain and range of a real valued function \( f(x) = \cos (x-3) \) are respectively.
If the line $$ 4x - 3y + 7 = 0 $$ touches the circle $$ x^2 + y^2 - 6x + 4y - 12 = 0 $$ at $ (\alpha, \beta) $, then find $ \alpha + 2\beta $.
The number of ways of selecting 3 numbers that are in Arithmetic Progression (A.P.) from the set \(\{1, 2, 3, \ldots, 100\}\) is:
The numerically greatest term in the expansion of $ (x + 3y)^{13} $, when $ x = \frac{1}{2},\ y = \frac{1}{3} $, is
The general solution of the differential equation \(\frac{dy}{dx} + xy = 4x - 2y + 8\) is
Which of the following enzymatic reaction is not correctly matched with enzyme shown against it in brackets?
Which method is used to purify liquids having very high boiling points and liquids which decompose at or below their boiling point?
Three blocks A, B and C are arranged as shown in the figure such that the distance between two successive blocks is 10 m. Block A is displaced towards block B by 2 m and block C is displaced towards block B by 3 m. The distance through which the block B should be moved so that the centre of mass of the system does not change is
Three blocks A, B and C are arranged as shown in the figure
\[ \left( \sqrt{2} + 1 + i \sqrt{2} - 1 \right)^8 = ? \]
For all $n \in \mathbb{N}$, if $n(n^2+3)$ is divisible by $k$, then the maximum value of $k$ is
If \(\alpha\) is the angle made by the perpendicular drawn from origin to the line \(12x - 5y + 13 = 0\) with the positive X-axis in anti-clockwise direction, then \(\alpha =\)
If \[ A = \begin{bmatrix} x & 2 & 1 \\ -2 & y & 0 \\ 2 & 0 & -1 \end{bmatrix}, \] where \( x \) and \( y \) are non-zero real numbers, trace of \( A = 0 \), and determinant of \( A = -6 \), then the minor of the element 1 of \( A \) is:}
If $X$ is a binomial variate with mean $\frac{16}{5}$ and variance $\frac{48}{25}$, then $P(X \leq 2) =$
Two objects of masses 5 kg and 10 kg are placed 2 meters apart. What is the gravitational force between them?
(Use \(G = 6.67 \times 10^{-11}\, \mathrm{Nm^2/kg^2}\))
For all \( n \in \mathbb{N} \), if \( 1^3 + 2^3 + 3^3 + \cdots + n^3>x \), then a value of \( x \) among the following is:
The number of solutions of the equation $4 \cos 2\theta \cos 3\theta = \sec \theta$ in the interval $[0, 2\pi]$ is
If 2 moles of an ideal monoatomic gas at a temperature of 27 °C is mixed with 4 moles of another ideal monoatomic gas at a temperature of 327 °C, then the temperature of the mixture of the two gases is
The linear momentum of a body of mass 8 kg is 24 kg m s$^{-1}$. If a constant force of 24 N acts on the body in the direction of the motion for a time of 3 s, then the increase in the kinetic energy of the body is
Identify the correct option from the following:

The logic gate equivalent to the combination of logic gates shown in the figure is

In Young’s double slit experiment, the wavelengths of red and blue lights used are \(7.5 \times 10^{-5}\) cm and \(5 \times 10^{-5}\) cm respectively. If the \(n^{th}\) bright fringe of red color coincides with \((n+1)^{th}\) bright fringe of blue colour, then the value of \( n \) is
If \( \log_2 3 = p \), express \( \log_8 9 \) in terms of \( p \):
All the values of \(k\) such that the quadratic expression \(2kx^2 - (4k+1)x + 2\) is negative for exactly three integral values of \(x\), lie in the interval:
If a ball projected vertically upwards with certain initial velocity from the ground crosses a point at a height of 25 m twice in a time interval of 4 s, then the initial velocity of the ball is
(Acceleration due to gravity $= 10~\text{m/s}^2$)

Match the pollination types in List-I with their correct mechanisms in List-II: 

List-I (Pollination Type)List-II (Mechanism)
A) XenogamyI) Genetically different type of pollen grains
B) OphiophilyII) Pollination by snakes
C) ChasmogamousIII) Exposed anthers and stigmas
D) CleistogamousIV) Flowers do not open
If a steel rod of a radius 10 mm and length 80 cm is streched by a force of 66 kN along its length, then the longitudinal stress on the rod is nearly