List of top Questions asked in AP EAPCET

When a wave enters into a rarer medium from a denser medium, the property of the wave which remains constant is:

The capacitance of an isolated sphere of radius $ r_1 $ is increased by 5 times when enclosed by an earthed concentric sphere of radius $ r_2 $. The ratio $ \frac{r_1}{r_2} $ is:

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 = ? $

If the line segment joining the points $ (1,0) $ and $ (0,1) $ subtends an angle of $ 45^\circ $ at a variable point $ P $, then the equation of the locus of $ P $ is:

The correct order of bond angles of the molecules $ SiCl_4 $, $ SO_3 $, $ NH_3 $, $ HgCl_2 $ is:

If $ a $ is a common root of $ x^2 - 5x + \lambda = 0 $ and $ x^2 - 8x - 2\lambda = 0 $ ($ \lambda \neq 0 $) and $ \beta, \gamma $ are the other roots of them, then $ a + \beta + \gamma + \lambda = $:

Identify the incorrect set from the following:

Let $ F $ and $ F' $ be the foci of the ellipse $ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 $ (where $ b<2 $), and let $ B $ be one end of the minor axis. If the area of the triangle $ FBF' $ is $ \sqrt{3} $ sq. units, then the eccentricity of the ellipse is:

Evaluate the integral: \[ \int \frac{3x^9 + 7x^8}{(x^2 + 2x + 5x^9)^2} \,dx= \]

The two reactions involved in the conversion of benzene diazonium chloride to biphenyl are respectively

If $ \vec{i} - 2\vec{j} + 3\vec{k}, 2\vec{i} + 3\vec{j} - \vec{k}, -3\vec{i} - \vec{j} - 2\vec{k} $ are the position vectors of three points A, B, C respectively, then A, B, C:

P is a point on $ x + y + 5 = 0 $, whose perpendicular distance from $ 2x + 3y + 3 = 0 $ is $ \sqrt{13} $, then the coordinates of P are:

If \[ a^2 x^4 + b^2 y^4 = c^6, \] then the maximum value of $ xy $ is:

Hydrolysis of an alkyl bromide X (C$_4$H$_9$Br) follows first-order kinetics. Reaction of X with Mg in dry ether followed by treatment of D$_2$O gave Y. What is Y?

If $\cos \alpha + \cos \beta + \cos \gamma = \sin \alpha + \sin \beta + \sin \gamma = 0,$ then evaluate $(\cos^3 \alpha + \cos^3 \beta + \cos^3 \gamma)^2 + (\sin^3 \alpha + \sin^3 \beta + \sin^3 \gamma)^2 =$

Evaluate the infinite series: \[ 1 + \frac{1}{3} + \frac{1.3}{3.6} + \frac{1.3.5}{3.6.9} + \dots \text{ to } \infty = \]

Evaluate the integral: \[ I = \int_{-3}^{3} |2 - x| dx. \]

The general solution of the differential equation $$ (y^2 + x + 1) \, dy = (y + 1) \, dx $$ is:

When the temperature of a gas is raised from 27°C to 90°C, the increase in the rms velocity of the gas molecules is:

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:

An urn contains 3 black and 5 red balls. If 3 balls are drawn at random from the urn, the mean of the probability distribution of the number of red balls drawn is: