List of top Questions asked in AP EAPCET- 2023

A resistor of resistance 40 $ \Omega $, a capacitor of capacitive reactance 20 $ \Omega $ and an inductor of inductive reactance 50 $ \Omega $ are connected in series to an ac source of 100 V. The current through the circuit is:

The equation of the pair of asymptotes of the hyperbola $x^2 - 2y^2 - 8x + 8y + 4 = 0$ is

A flywheel is rotating at a rate of 150 rev/minute. If it slows at constant retardation of $ \pi $ rads$^{-2} $, then the time required for the wheel to come to rest is

Evaluate the integral: \[ \int_0^{\frac{\pi}{4}} \frac{\cos^2 x}{\cos^2 x + 4 \sin^2 x} \, dx \]

If 5 L of an ideal gas at a constant external pressure of 2 atm expands isothermally to a final volume of $ X $ L, the system does a work of -2,026.4 J. $ X $ (in L) is

If the equations $ x = t^2 + t + 1, \quad y = t^2 - t + 1 $ represent a curve $ C $ with parameter $ t $, then the Cartesian equation of $ C $ is:

Two identical balls $ P $ and $ Q $ are moving with the same velocity. If the velocity of $ Q $ is reduced to zero and that of $ P $ is reduced to half, the ratio of change in temperatures of $ P $ to $ Q $ is:

If matrix $ D_1 = \text{diag}(a, b, c) $, matrix $ D_2 = \text{diag}(3, 3, 3) $ and $ A $ is a skew-symmetric matrix of order 3, then
\[ \text{Tr}(D_1 D_2 A + D_2 D_1 + D_1 A + D_2 A) - \text{Tr}(D_1 + D_2) = ? \]

Two mercury drops of radii $ r $ and $ 2r $ merge to form a bigger drop. The surface energy released in the process is nearly (Surface tension of mercury is } $S$ and take $9^{2/3} = 4.326$)

Find A and B

Which of the following is used in perfumery?

A lorry is moving on a smooth circular path of radius 50 m with a velocity of 20 m/s. Then the banking angle of the road is:

Let $f:\mathbb{R} \to \mathbb{R}$ be a differentiable function such that $|f(x)-f(y)| \le 2|x-y|^{3/2} \ \forall x,y \in \mathbb{R}$. If $f(0)=1$, then $\int_0^1 f^2(x)dx=$

Let $ A(1,2) $ be the centre and 3 be the radius of a circle $ S $. Let $ B(-1, -1) $ be the centre and $ r $ be the radius of another circle $ S_1 $. If $ \frac{\pi}{3} $ is the angle between the circles $ S $ and $ S_1 $, then the number of possible values of $ r $ is:

If the sum of the coefficients of even powers of $ x $ in the expansion of $ (1 - x + x^2)^{2n} $ is 3281, then $ n $ is:

If $ A, B $ and $ C $ are three events of a random experiment with $ P(A) = 0.4 $, $ P(B) = 0.3 $, and $ P(A \cap B) = 0.2 $, then the probability that neither A nor B occurs is:

If a person moving along a straight line covers the first half of the distance with velocity $ V_1 $ and the next half with velocity $ V_2 $, then the average velocity is:

Match List I with List II:

If $ \tan A = \tan \alpha \coth x = \cot \beta \tanh x $, then $ \tan(\alpha + \beta) = $:

Among the following, velocity $ v $ - time $ t $ graph representing the motion of a vertically projected body is:

The intensity of ground waves decreases with the increase of distance travelled is due to:

Evaluate the integral: \[ \int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{1}{1 + \sqrt{\cot x}} \, dx = \]