List of top Questions asked in AP EAPCET

Cobalt (III) chloride forms a green-colored complex ‘X’ with NH$_3$. Number of moles of AgCl formed when excess AgNO$_3$ solution is added to 100 mL of 1M solution of ‘X’ is:

The number of nucleophiles in the following list is: \[ CH_3NH_2, \quad CH_3CHO, \quad C_2H_4, \quad CH_3SH \]

The range of the real valued function $ f(x) =$ $\sin^{-1} \left( \frac{1 + x^2}{2x} \right)$ $+ \cos^{-1} \left( \frac{2x}{1 + x^2} \right)$ is:

Evaluate the integral \[ I = \int_{-1}^{1} \left( \sqrt{1 + x + x^2} - \sqrt{1 - x + x^2} \right) \, dx \]

Evaluate the integral $$ \int_{0}^{\frac{\pi}{4}} \frac{x^2}{(x \sin x + \cos x)^2} dx. $$

For a first-order reaction, the concentration of reactant was reduced from 0.03 mol L$^{-1}$ to 0.02 mol L$^{-1}$ in 25 min. What is its rate (in mol L$^{-1}$ s$^{-1}$)?

If $ a $ is in the 3rd quadrant, $ \beta $ is in the 2nd quadrant such that $ \tan \alpha = \frac{1}{7}, \sin \beta = \frac{1}{\sqrt{10}} $, then \[ \sin(2\alpha + \beta) = \]

The values of $ a $ and $ b $ in the solubility product equation for barium phosphate are:

Two spheres A & B of radii 4 cm & 6 cm are given charges of 80 µC & 40 µC respectively. If they are connected by a fine wire, the amount of charge flowing from one to the other is:

The number of positive divisors of 1080 is:

Imaginary part of $ \frac{(1 - i)^3}{(2 - i)(3 - 2i)} $ is:

Suppose the axes are to be rotated through an angle $ \theta $ so as to remove the $ xy $ term from the equation $3 x^2 + 2\sqrt{3}xy + y^2 = 0 $. Then in the new coordinate system, the equation $ x^2 + y^2 + 2xy = 2 $ is transformed to:

The area of the region enclosed by the curves \[ 3x^2 - y^2 - 2xy + 4x + 1 = 0 \] and \[ 3x^2 - y^2 - 2xy + 6x + 2y = 0 \] is:

When two coaxial coils having the same current in the same direction are brought close to each other, then the value of current in both the coils:

A machine with efficiency $ \frac{2}{3} $ used 12 J of energy in lifting a 2 kg block through a certain height and it is allowed to fall through the same. The velocity while it reaches the ground is:

A body of mass 2 kg collides head-on with another body of mass 4 kg. If the relative velocities of the bodies before and after collision are 10 ms$^{-1}$ and 4 ms$^{-1}$ respectively, the loss of kinetic energy of the system due to the collision is \bigskip

Let $ f(x) = 3 + 2x $ and $ g_n(x) = (f \circ f \circ \dots \text{n times}) (x) $. If for all $ n \in \mathbb{N} $, the lines $ y = g_n(x) $ pass through a fixed point $ (a, \beta) $, then $ \alpha + \beta = ? $

A resistor of resistance $ R $, inductor of inductive reactance $ 2R $ and a capacitor of capacitive reactance $ X_C $ are connected in series to an A.C. source. If the series LCR circuit is in resonance, then the power factor of the circuit and the value $ X_C $ are respectively:

A body starting from rest with an acceleration of $ \frac{5}{4} \, \text{ms}^{-2} $. The distance travelled by the body in the third second is:

Two bodies A and B of masses $ 2m $ and $ m $ are projected vertically upwards from the ground with velocities $ u $ and $ 2u $ respectively. The ratio of the kinetic energy of body A and the potential energy of body B at a height equal to half of the maximum height reached by body A is:

If $ y = \tan(\log x) $, then $ \frac{d^2y}{dx^2} $ is given by:

The square root of $ 7 + 24i $ is:

Which transition metal does not form ‘MO’ type oxide? (M = transition metal)

A solid compound is formed by atoms of A (cations), B (cations), and O (anions). Atoms of O form an hcp lattice. Atoms of A occupy 25% of tetrahedral holes and atoms of B occupy 50% of octahedral holes. What is the molecular formula of the solid?

In the expansion of $\frac{2x+1}{(1+x)(1-2x)}$, the sum of the coefficients of the first 5 odd powers of $x$ is: