List of top Questions asked in AP EAPCET

A polymer sample contains 5 molecules of molar mass 1000, 3 molecules of molar mass 500 and 2 molecules of molar mass 250. What is its weight average molecular weight (Mw)?
Let \( f(x) = |x| \) and \( g(x) = |x| + a \), \( (a>0) \). For \( 0 \le x \le b \), \( \{(x, y) / g(x) \le y \le f(x)\} \) represents all the points in the interior of
If \( \alpha \) and \( \beta \) are the roots of the equation \( x^2 + x + 1 = 0 \), then the quadratic equation whose roots are \( \alpha^{2023} \) and \( \beta^{2012} \) is
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\(^{-2} \))
The time required (in hours) to reduce 3 mol of \( Fe^{3+} \) ions to \( Fe^{2+} \) ions with 2.0 amperes of current is (1 F = 96500 C mol\(^{-1} \))
If \( A = \begin{bmatrix} 1 & 0 & 1 \\ 0 & 1 & 1 \\ 0 & 1 & 0 \end{bmatrix} \), then \( A^{-1} \) = ?
If \[ \int \frac{x^3}{\sqrt{1 + x^2}} \, dx = A(1 + x^2)^{\frac{3}{2}} + B(1 + x^2)^{\frac{1}{2}} + C, \text{ then } A + B = \]
The condition that the lines joining the origin to the points of intersection of the line \( \frac{x}{a} + \frac{y}{b} = 2 \) and the circle \( (x - a)^2 + (y - b)^2 = r^2 \) are at right angles is:
If \( r_1 \) and \( r_2 \) are the angles of refraction at the first face and second face of a prism, then the angle of the prism is:
A body is thrown vertically upwards with an initial velocity \( u \). If \( g \) is the acceleration due to gravity, then the total time taken for the body to return to the starting point is:
In \(\triangle ABC\), if \(a, b, c\) are in arithmetic progression and \(C = 2A\), then \(a : c = \)
The sum of the global minimum and global maximum values of the function \[ f(x) = \frac{4}{3}x^3 - 4x \quad \text{in } [0, 2] \text{ is} \]
\(\displaystyle \int_{0}^{\pi} \frac{\cos x}{\sqrt{1 - \sin^2 x}} \, dx =\)
Among the following organic halides in the increasing order of their dehydrohalogenation reactions in the presence of alcoholic KOH
dehydrohalogenation reactions
Evaluate the following integral: \[ \int (x^3 + x^2 m + x^m) (2x^{2m} + 3x^m + 6x^m) \, dx \]
Inside a charged hollow sphere, at any point the electric field \( E \) and potential \( V \) are:
If \( f(x) = \frac{x^3 + 5}{\sqrt{12 + x}} \) and } \[ \int_{-5}^{5}f(x) \, dx = \int_{0}^{5} \left( f(x) + g(x) \right) \, dx, \text{ then } g(x) = \]
A stone thrown with velocity \( u \) at angles \( \theta \) and \( (90^\circ - \theta) \) with the horizontal reaches maximum heights \( H_1 \) and \( H_2 \) respectively. Its horizontal range is
Let \( S = \{ z \in \mathbb{C} : |z - 1 + i| = 1 \} \) represents:
Evaluate: \[ \frac{1}{\cos 290^\circ} + \frac{1}{\sqrt{3} \sin 250^\circ} \]
Evaluate the integral: \[ \int_0^1 \left( \sqrt{10} \right)^{2x} \, dx \]
If \( \alpha \) and \( \beta \) are respectively the order and degree of the differential equation \[ y = e^{\frac{d^2y}{dx^2}}, \] then the value of \( \alpha + \alpha^\beta + \alpha^{2\beta} + \dots + \alpha^{2023\beta} \) is:
The number of rotational degrees of freedom of a monatomic molecule is:
Which of the following is not the property of covalent substances?
Which one of the following functions is discontinuous at $x=1$?