List of top Questions asked in AP EAPCET

The number of ATP and NADPH molecules required respectively to synthesize one molecule of glucose in C\(_3\) plants is:
A point P divides the line joining points $A(2, 3)$ and $B(10, 7)$ in the ratio 3:1 internally. What are the coordinates of point P?
A bag contains 4 red and 5 blue balls. One ball is drawn at random. What is the probability that it is red?
Let \( f(x) = \frac{1+x{1-x} \). Find the value of \( f(x) + f(-x) \):}
A ray of light passes from air into glass (refractive index = 1.5) at an angle of incidence 60°. What is the angle of refraction?
A block of mass 5 kg is placed on a rough inclined plane making an angle of 30° with the horizontal. The coefficient of static friction between the block and the plane is 0.4. Will the block slide down the plane? If yes, what is the acceleration?
What is the acceleration of a body of mass 4 kg when a force of 20 N is applied to it?
For a first-order reaction, the concentration of a reactant decreases from 0.8 M to 0.4 M in 20 minutes. What is the half-life of the reaction? (Use $\ln 2 = 0.693$)
If $ a $ and $ b $ are the roots of the equation $ 4x^2 - 12x + 11 = 0 $, find the value of $ a^2 + b^2 $.
A body of mass 4 kg is moving with a velocity of 3 m/s. What is its kinetic energy?
Find the determinant of the matrix: $$ \begin{bmatrix} 3 & 2 \\ 1 & 5 \end{bmatrix} $$
Let \( A(1,2), B(3,4) \) and \( C(k,6) \) be three points such that the area of triangle \( ABC \) is 5 square units. The possible values of \( k \) are:
Two capacitors of capacitance 4 µF and 6 µF are connected in series and then connected to a 120 V battery. The energy stored in the system is:
Two point charges +3µC and -2µC are placed 5 cm apart in vacuum. Find the point on the line joining the charges where the electric field is zero.
Which part of the human eye controls the amount of light entering it?
A 100 W electric bulb is used for 5 hours daily. What is the energy consumed in 30 days?
The standard reduction potentials are: \( E^\circ_{\text{Ag}^+/\text{Ag}} = +0.80\, \text{V} \) and \( E^\circ_{\text{Cu}^{2+}/\text{Cu}} = +0.34\, \text{V} \). What will happen when a copper rod is placed in a solution of silver nitrate?
Two tuning forks produce frequencies of 256 Hz and 260 Hz. When sounded together, how many beats are heard per second? If the intensity of both sources is equal, what type of interference occurs at the beat minima?
A resistor of 10 \(\Omega\) is connected across a 12 V battery. What is the power dissipated in the resistor?
If \( \tan(\theta - \phi) = \frac{3}{4} \) and \( \theta + \phi = \frac{\pi}{2} \), then the value of \[ \tan \left( \frac{\pi}{4} - \theta \right) + \tan \left( \frac{\pi}{4} - \phi \right) \] is:
Which of the following complexes will exhibit optical isomerism?
The nitration of benzene using a mixture of concentrated \(\mathrm{H_2SO_4}\) and concentrated \(\mathrm{HNO_3}\) gives:
If the tangent to the curve \( y = ax^2 + bx + c \) at the point \( (1,1) \) is parallel to the x-axis, and the curve passes through the point \( (2,3) \), then find the value of \( a + b + c \):
Let \[ f(x) = x^4 - 4x^3 + 6x^2 + k \] \text{If \(f(x) \geq 0\) for all real \(x\), then the value of \(k\) is:}
A rectangular garden has a length that is 3 meters more than its width. If the area of the garden is 88 square meters, what is the width of the garden?