List of top Questions asked in AP EAPCET- 2025

If the direction ratios of two lines \(L_1\) and \(L_2\) are \((1,-2,2)\) and \((-2,3,-6)\) respectively, then the direction ratios of the line which is perpendicular to both \(L_1\) and \(L_2\) are?
Assertion (A): $S_3 = 55 \times 2^9$
Reason (R): $S_1 = 90 \times 2^8$ and $S_2 = 10 \times 2^8$
The sum of number of antibonding electrons present in O$_2$, O$_2^+$, O$_2^-$ is:
Observe the following molecules: ClF, SF$_4$, CH$_4$, NH$_3$, XeF$_4$, PCl$_5$. The number of molecules in which the central atom has expanded octet is:
The correct order of atomic radii of C, Al and S is
Which of the following orders is not correct about the property shown against it?
The incorrect statement from the following is
The probability distribution of a discrete random variable \( X \) is given below: \[ \begin{array}{c|cccc} X = x & -1 & 0 & 1 & 2 \\ P(X = x) & \frac{1}{3} & \frac{1}{6} & \frac{1}{6} & \frac{1}{3} \end{array} \] Then the value of \( 6 \sum x^2 P(X = x) - \text{var}(X) \) is:
If \( A = \begin{pmatrix} 1 & 2 & 3 \\ 1 & 3 & 5 \\ 2 & 1 & 6 \end{pmatrix} \) and \( |adj(adj(A))|(adj A)^{-1} = kA \), then k =
A transistor works as an amplifier when
For \( a \in \mathbb{R} \), if the vectors \( \vec{p} = (a+1)\hat{i} + a\hat{j} + a\hat{k} \), \( \vec{q} = a\hat{i} + (a+1)\hat{j} + a\hat{k} \) and \( \vec{r} = a\hat{i} + a\hat{j} + (a+1)\hat{k} \) are coplanar and \( 3\left(\vec{p} \cdot \vec{q} \right)^2 - \lambda \left|\vec{r} \times \vec{q} \right|^2 = 0 \), then the value of \( \lambda \) is:
If the rms speed of the molecules of a diatomic gas at a temperature of 322K is 2000 m/s, then the gas is
The ratio of the wavelengths of the spectral lines emitted due to transitions \( 3 \rightarrow 2 \) and \( 2 \rightarrow 1 \) orbits in the hydrogen atom is
When the current in a coil decreases from 10 A to \( I \) in a time of 2 seconds, the induced emf in the coil is \( \varepsilon_1 \). When the current in the coil decreases from \( I \) to zero in 4 seconds, the induced emf in the coil is \( \varepsilon_2 \). If the ratio of the induced emfs \( \varepsilon_1 : \varepsilon_2 = 2 : 3 \), then the value of \( I \) is
Evaluate: \[ \sin^3 10^\circ + \sin^3 50^\circ - \sin^3 70^\circ = ? \]
Find the area (in square units) of the region bounded by the lines \( x=0 \), \( x=\frac{\pi}{2} \), and the curves \( f(x) = \sin x \), \( g(x) = \cos x \):
A steel sphere of radius $1.2~\text{cm}$ collides with another steel sphere at rest.
If the collision is elastic and the first sphere moves with $\dfrac{7}{9}$ of its initial velocity after collision,
then the radius of the second sphere is
If a body of mass 'm' is projected at an angle '$\theta$' with the horizontal with an initial velocity 'u', then the average torque on the body during the flight is (g - acceleration due to gravity)
Length of the common chord of two circles of same radius is \( 2\sqrt{17} \). If one of the two circles is \( x^2 + y^2 + 6x + 4y - 12 = 0 \), then the acute angle between the two circles is:
\( \int \frac{x}{(1-x^2)\sqrt{2 - x^2} dx = \)}
If \( \log_2 3 = p \), express \( \log_8 9 \) in terms of \( p \):
Evaluate the integral: \[ \int \frac{\sec^2 x}{(\sec x+\tan x)^{5/2}}dx \]
If \(\sigma\) denotes Stefan constant and S denotes heat capacity, then the dimensional formula of \(\frac{\text{S}}{\sigma}\) is
What is ‘Y’ in the following reaction sequence?
Y’ in the following reaction sequence
Which of the following sets is correctly matched?