List of top Questions asked in AP EAPCET

The angle made by a line \(L\) with positive X-axis measured in the positive direction is \(\frac{\pi}{6}\) and the intercept made by \(L\) on Y-axis is negative. If \(L\) is at a distance 5 units from the origin, then the perpendicular distance from the point \(\left(1,-\sqrt{3}\right)\) to the line \(L\) is?
A metal crystallizes in simple cubic lattice. The volume of one unit cell is \( 6.4 \times 10^{-7} \, \text{pm}^3 \). What is the radius of the metal atom in pm?
When the temperature increases, the viscosity of
If \[ \frac{2x^4 - 3x^2 + 4}{(x^2 + 1)(x^2 + 2)} = a + \frac{px + q}{x^2 + 1} + \frac{mx + n}{x^2 + 2}, \] then $\frac{n}{q} =$
If \[ 2x^2 + 3xy - 2y^2 - 5x + 2fy - 3 = 0 \] represents a pair of straight lines, then one of the possible values of \(f\) is?
If a real valued function \[ f(x) = \begin{cases} \log(1 + [x]), & x \geq 0 \\ \sin^{-1}[x], & -1 \leq x<0 \\ k([x] + |x|), & x<-1 \end{cases} \] is continuous at \(x = -1\), then find \(k\).
If the rms speed of the molecules of a diatomic gas at a temperature of 322K is 2000 m/s, then the gas is
When an object is placed in front of a convex mirror at a distance 'u' from the pole of the mirror such that the size of the image is 'n' times that of the object, then the object distance 'u' is
If a constant force of \((2i + 3j + 4k) \, \text{N}\) acting on a body of mass \(5 \, \text{kg}\) displaces it from \((3i - 4k)\, \text{m}\) to \((2i + 2j + 3k)\, \text{m}\), then the work done by the force on the body is:
A motor can pump 7560 kg of water per hour from a well of depth 100 m. If the efficiency of the pump is 70%, then the power of the pump is:
If the axes are translated to the orthocentre of the triangle formed by points \(A(7,5), B(-5,-7), C(7,-7)\), then the coordinates of the incentre of the triangle in the new system are?
The number of solutions of the equation $4 \cos 2\theta \cos 3\theta = \sec \theta$ in the interval $[0, 2\pi]$ is
A sample of a ferromagnetic iron in the shape of a cube of side 1.0 μm contains $8.7 \times 10^{29}$ atoms per cubic meter and the magnetic dipole moment of each iron atom is $9.3 \times 10^{-29}$ Am². Then the maximum possible magnetic dipole moment (in Am²) of the sample is nearly
If \(A(\cos \alpha, \sin \alpha)\), \(B(\sin \alpha, -\cos \alpha)\), and \(C(1, 2)\) are the vertices of \(\triangle ABC\), then find the locus of its centroid.
What is the approximate molality of 10% (w/w) aqueous glucose solution? (Molar mass of glucose = 180 g mol\(^{-1}\))
Evaluate \[ \lim_{x \to 0} \sqrt{\frac{x + 2 \sin x + 3 \tan x - \tan^3 x}{x^2 + 2 \sin x + \tan x + 3 - \sqrt{\sin^2 x - 2 \tan x - x + 3}}} = ? \]
The ratio of the time periods of the revolution of the electrons in the second and third excited states of hydrogen atom is
The potential energy of a satellite of mass \( m \) revolving around the earth at a height of \( R \) from the surface of the earth is:
The van't Hoff factor for 0.5 m aqueous CH₃COOH solution is 1.075. What is the experimentally observed \(\Delta T_f\) (in K) for this solution? \( K_f = 1.86 \, \text{K kg mol}^{-1} \)
In a common emitter transistor amplifier the resistance of collector is 3 kΩ. If the current amplification factor is 100 and the base resistance is 2 kΩ, then the power gain of the transistor is
If \(f(x) = x^{\sec^{-1} x}\), then find \(f'(2)\).
In a series LCR circuit, the voltages across the capacitor, resistor, and inductor are in the ratio 2:3:6. If the voltage of the source in the circuit is 240 V, then the voltage across the inductor is
Which one of the statements regarding X is not correct?
3-Hydroxybutanoic acid → 3-Hydroxypentanoic acid → X X is:
Evaluate: \(\tan\left(2\tan^{-1}\left(-\frac{1}{3}\right) + \tan^{-1}\left(\frac{1}{7}\right)\right) =\)
The internal energy of 4 moles of a monoatomic gas at a temperature of 77°C is