List of top Questions asked in AP EAPCET

Which of the following conditions are not suitable for a spontaneous reaction?
A ray makes angles \( \alpha, 2\alpha, 3\alpha \) with the coordinate axes OX, OY, OZ respectively. Then possible values of \( \alpha \) are:
The total number of positive integral solutions \((x, y, z)\) of \( xyz = 24 \) is:
In a Binomial distribution $B(n, p)$, if the mean and variance are 15 and 10 respectively, then the value of the parameter $n$ is
In a triangle ABC, if $a \ne b$, then \[ \frac{a\cos A - b\cos B}{a\cos B - b\cos A} + \cos C = ? \]
If $ \sin\theta + \csc\theta = 4 $, then find: $$ \sin^2\theta + \csc^2\theta = ? $$
In any triangle ABC, \( \frac{\cos 2A}{a^2} - \frac{\cos 2B}{b^2} = \)
Suppose a point \( P \) moves such that: \[ BP^2 - AP^2 = 121 \] where \( A = (2, 5) \), \( B = (5, 11) \). Then the locus of \( P \) is a straight line. What is the slope of this line?
For any real number $t$, the point $\left( \dfrac{8t}{1 + t^2}, \dfrac{4(1 - t^2)}{1 + t^2} \right)$ lies on a/an
The ratio of the areas of the greatest and the smallest circles touching \((x \pm 1)^2 + (y \pm 1)^2 = 1\) is (The equation \((x \pm 1)^2 + (y \pm 1)^2 = 1\) represents four circles with radius 1, centered at (1,1), (1,-1), (-1,1), (-1,-1).)
The locus of the point of intersection on the line \( \sqrt{3}x - y - 4\sqrt{3}k = 0 \) and \( \sqrt{3}kx + ky - 4\sqrt{3} = 0 \) for different real values of k is a hyperbola H. If e is the eccentricity of H then \(4e^2 = \)
\( \int \sqrt{x+\sqrt{x^2+2}} \ dx = \)
Find the false statement for ideal gases:
Which of the following molecules is eliminated during peptide bond formation?
If a function \( f: \mathbb{R} - \{l\} \to \mathbb{R} - \{m\} \) defined by \( f(x) = \frac{x+3}{x-2} \) is a bijection, then \( 3l + 2m = \) ?
The distribution of some charges on two Gaussian surfaces A and B are as shown in the figure. If $\phi_A$ and $\phi_B$ are electric fluxes linked with the surfaces A and B respectively, then $\frac{\phi_A}{\phi_B} =$
The distribution of some charges on two Gaussian surfaces
Choose the correct option from the following:
A ray is incident from a medium of refractive index 2 to another with refractive index 1. The critical angle is:
Which of the following does not show disproportionation reaction?
The percentage of abundance of three elements X, Y and Z in the earth’s crust are about 27.7, 8.3 and 46.0 by mass respectively. X, Y and Z are
A uniform rod of length 60 cm is placed with one end in contact with the horizontal table and is then inclined at an angle 30\(^\circ\) to the horizontal and allowed to fall. The angular velocity of the rod when it becomes horizontal is (acceleration due to gravity = 10 ms\(^{-2}\))
A short bar magnet produces a magnetic field of \(6.4 \times 10^{-5}\) T at a distance of 20 cm from the center of the magnet on the normal bisector of the magnet. The magnetic field produced by this magnet at a distance of 40 cm on the axis is
Let $f(x) = \begin{cases} \dfrac{1}{|x|}, & |x|>1 \\ ax^2 + b, & |x| \leq 1 \end{cases}$. If $\lim_{x \to 1} f(x)$ and $\lim_{x \to -1} f(x)$ exist, then the possible values for $a$ and $b$ are
Which of the following is formed when SO3 is absorbed by concentrated H2SO4?
If the slope of the tangent at a point $(x,y)$ on a curve is $\frac{y-4}{x}$ and the curve passes through $(4,3)$, then the point where it cuts the line $y=x$ is