List of top Questions asked in AP EAPCET

A particle is projected at an angle of $ 60^\circ $ to the horizontal with an initial speed of $ 20 \, \text{m/s} $. If $ g = 10 \, \text{m/s}^2 $, what is the maximum height reached by the particle?

A light ray passes from air ($ \mu = 1 $) into a glass slab ($ \mu = 1.5 $) at an angle of incidence of $ 30^\circ $. What is the angle of refraction inside the glass slab?

Which of the following elements has the highest first ionization energy?

Find the midpoint of the line segment joining the points (3, 4) and (7, -2).

A bag contains 5 red and 3 blue balls. If one ball is drawn at random, what is the probability that it is red?

If $ \sin \theta + \cos \theta = 1 $, find the value of $ \sin \theta \cos \theta $.

A bag contains 3 red and 4 blue balls. If one ball is drawn at random, what is the probability that it is red?

Find the equation of the circle with center at (2, -3) and radius 5.

If $ \cos \theta = \frac{5}{13} $ and $ \theta $ is in the fourth quadrant, find the value of $ \tan \theta $.

If $x^2 + y^2 = 25$ and $xy = 12$, then what is the value of $x^4 + y^4$?

The function $ f(x) = \frac{x^2 - 4x + 3}{x^2 - 5x + 6} $ is defined for all real values of $ x $ except:

If the equation of a straight line passing through the point (1,2) and perpendicular to the line $3x + 4y = 7$ is:

The number of real Solution of the equation \[ \sqrt{x + 4} + \sqrt{5 - x} = 5 \] \text{is:}

The plants showing: hypogynous flower, valvate aestivation, and tricarpellary ovary are:

A current of 2 A is passed through molten CaCl$_2$ for 1930 seconds. What is the mass of calcium deposited at the cathode? (Ca molar mass = 40 g/mol, valency = 2, Faraday's constant = 96500 C/mol)

The general solution of the equation \[ 2\sin^2 \theta - \cos^2 \theta = \sin \theta \]

The mean of 6 numbers is 15, and the standard deviation is 2. If each number is increased by 5, what is the new standard deviation?

The sum of the first 10 terms of an arithmetic progression is 145, and the first term is 1. Find the common difference.

A total charge $q$ is uniformly distributed over a circular ring of radius $R$. The ring is rotated about its axis with angular velocity $\omega$. Find the magnetic dipole moment of the ring.

If the arithmetic mean of the terms $a, a + d, a + 2d, ..... a + (2n)d$ is 35 and the sum of the series is 735, then the value of $n$ is:

If $ \sin \theta = \frac{3}{5} $ and $ \theta $ is in the first quadrant, find the value of $ \tan \theta $.

In a redox titration, 25 mL of 0.1 M KMnO$_4$ is required to completely react with oxalic acid in acidic medium. The volume of 0.2 M oxalic acid used is:
(Balanced reaction: $ 2\text{MnO}_4^- + 5\text{C}_2\text{O}_4^{2-} + 16\text{H}^+ \rightarrow 2\text{Mn}^{2+} + 10\text{CO}_2 + 8\text{H}_2\text{O} $)

One mole of an ideal gas at 300 K is compressed isothermally from a volume of $V_1$ to $V_2$. Calculate:
The work done on the gas
The change in internal energy
The heat exchanged with the surroundings
Use $R = 8.314\, \text{J/molK}$, $ \ln(2.5) = 0.916$

Let $ f(x) = 2x^3 - 3x \neq 4 $. Then the inverse function $ f^{-1}(x) $ is:

Let a circle pass through the point $ (1, 2) $ and touch the $ x $-axis at $ (3, 0) $. Then the equation of the circle is: