List of top Questions asked in AP EAPCET

If \( 2\sinh x = \cosh x \), then \( x = \)
If the velocity of a particle moving along a straight line with uniform acceleration, is given by \( V = \sqrt{196 - 16X} \, \text{m/s} \), then its acceleration is
Two particles of masses 1 g and 2 g move towards each other with velocities 10 m/s and 20 m/s respectively. The velocity of the centre of mass of the system of the two particles is
In the given reactions, 'X' and 'Y' respectively are: \[ \ce{C6H5CH2NH2 ⇔[X] C6H5CONH2 ⇒[Y] C6H5NH2} \]
If \[ \int \frac{\sin^2 \alpha - \sin^2 x}{\cos x - \cos \alpha} \, dx = f(x) + Ax + B, \, B \in \mathbb{R}, \text{ then} \] \[ \frac{\sin^2 \alpha - \sin^2 x}{\cos x - \cos \alpha} \, dx = f(x) + Ax + B, \, B \in \mathbb{R} \]
If \( q \) is electric charge, \( B \) is magnetic field, \( R \) is the dee radius and \( m \) is the mass of ions, the kinetic energy of the ions in cyclotron is given by:
Which of the following is not correct?
If A and B simultaneously toss one coin each every time, each 50 times, then the probability of not getting a tail on both the coins is:
If a Bernoulli trial is conducted n times, then which one of the following is not suitable to use Poisson distribution?
Let a focal chord \( 12x + 5y - 27 = 0 \) of the parabola \( y^2 = kx \) intersect the parabola at points \( P \) and \( P' \). If \( S \) is the focus of the parabola, then \( 9(SP + SP') \) = ?
If \( f(n) = n!(31-n)! \), where \( n \in \{ 0, 1, 2, \dots, 31 \} \), then the minimum value of \( f(n) \) is:
If \( C_j \) stands for \( \binom{n}{j} \), then: \[ \frac{C_1}{C_0} + 2 \times \frac{C_2}{C_1} + 3 \times \frac{C_3}{C_2} + ... + n \times \frac{C_n}{C_{n-1}} \]
If \( f(x) = \sqrt{x} + \sin x \), then all the points of the set \( \left( x, f(x) \right)/f'(x) = 0 \) lie on:
A block of steel of mass 2 kg slides down a rough inclined plane of inclination of \( \sin^{-1} \left( \frac{3}{5} \right) \) at a constant speed. The temperature of the block as it slides through 80 cm, assuming that the mechanical energy lost is used to increase the temperature of the block is nearly:
Blue colour of the sky is due to
An ideal gas (X) present in a vessel of volume \( V \) exerted a pressure of 16.4 atm at 200 K. What is its concentration in mol \( L^{-1} \)? % Given Data Given \( R = 0.082 \, \text{L atm mol}^{-1} \text{K}^{-1} \)
The mean of 5 observations is 4.4 and their variance is 8.24. If three of those observations are 1, 2, and 6, then the other two observations are:
An inductor and a resistor are connected in series to an AC source. If the power factor of the circuit is 0.5, the ratio of the resistance of the resistor and the reactance of the inductor is:
Which of the following has more pK\(_a\) value?
A ray of light incident along a line meets another line $7x - y + 1 = 0$ at the point $(0,1)$ and is then reflected along the line $y + 2x = 1$. Then the equation of the line of inciden is
Sphalerite is the ore of metal \( M_1 \) and malachite is the ore of metal \( M_2 \). Atomic numbers of \( M_1 \) and \( M_2 \) are respectively
The correct order of reactivity of the following towards nucleophilic addition reactions is: \[ \text{I. CH}_3\text{COCH}_3,\quad \text{II. CH}_3\text{CH}_2\text{CHO},\quad \text{III. ClCH}_2\text{CHO} \]
The number of elements in the set $ S = \{x \in \mathbb{Z} : x^2 - 7x + 6 \le 0 \text{ and } x^2 - 3x>0 \} $ is
In $ \triangle ABC $, if $ r $ is the inradius and $ r_1, r_2, r_3 $ are the ex-radii, then \[ \frac{1}{4} \left[ b^2 \sin 2C + c^2 \sin 2B \right] = \]
Among the following, Ampere’s circuital law is represented by: