List of top Questions asked in AP EAPCET- 2024

A current of $6A$ enters one corner $P$ of an equilateral triangle $PQR$ having three wires of resistance $2 \Omega$ each and leaves by the corner $R$ as shown in figure. Then the currents $I_1$ and $I_2$ are respectively

The value of shunt resistance that allows only 10% of the main current through the galvanometer of resistance $ 99 \Omega $ is:

If the origin is shifted to a point $ P $ by the translation of axes to remove the $ y $-term from the equation $ x^2 - y^2 + 2y - 1 = 0 $, then the transformed equation of it is:

A line $ L $ intersects the lines $ 3x - 2y - 1 = 0 $ and $ x + 2y + 1 = 0 $ at the points $ A $ and $ B $. If the point $ (1,2) $ bisects the line segment $ AB $ and $ \frac{a}{b} x + \frac{b}{a} y = 1 $ is the equation of the line $ L $, then $ a + 2b + 1 = ? $

The real valued function $ f: \mathbb{R} \to \left[ \frac{5}{2}, \infty \right) $ defined by $ f(x) = \left| 2x + 1 \right| + \left| x - 2 \right| $ is:

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 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:

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:

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

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:

If the solution of the system of simultaneous linear equations: $$ x + y - z = 6, $$ $$ 3x + 2y - z = 5, $$ $$ 2x - y - 2z + 3 = 0 $$ is $ x = \alpha, y = \beta, z = \gamma $, then $ \alpha + \beta = ?$

There are 6 different novels and 3 different poetry books on a table. If 4 novels and 1 poetry book are to be selected and arranged in a row on a shelf such that the poetry book is always in the middle, then the number of such possible arrangements is:

If \[ A = \begin{bmatrix} 1 & 0 & 2\\ 2 & 1 & 3 \\3 & 2 & 4 \end{bmatrix}, \] then evaluate $ A^2 - 5A + 6I $=

A person climbs up a conveyor belt with a constant acceleration. The speed of the belt is $ \sqrt{\frac{g h}{6}} $ and the coefficient of friction is $ \frac{5}{3\sqrt{3}} $. The time taken by the person to reach from A to B with maximum possible acceleration is:

The maximum height attained by the projectile is increased by 10% by keeping the angle of projection constant. What is the percentage increase in the time of flight?