List of top Questions asked in TS EAMCET

ICBN refers to?
A point charge of 3.0 μC is at the center of a cubic Gaussian surface of radius 10 cm. What is the net electric flux through the surface?
Which of the following statements are correct with respect to the inflorescence in Cotoneaster?
How many among the given species have the highest bond order? CN\(^-\), CO, NO\(^-\), O\(_2\), N\(_2\)
A drop of radius \( R \) breaks into \( n \) equal drops. What is the ratio of total final surface energy to initial surface energy?
A body moves along the sides of an equilateral triangle of side 20 cm and comes back to the initial point after one round. Then the distance and displacement of the body respectively are
A straight wire carrying current \( I \) is lying along the axis of a circular loop carrying current \( I \). The force on this wire due to the circular loop is proportional to (Assume the axis of the circular loop is perpendicular to the plane of the loop).
A body moving with uniform acceleration travels a distance of 25 m in the fourth second and 37 m in the sixth second. The distance covered by the body in the next two seconds is
A cannon placed on a cliff at a height of 375 m fires a cannonball with a velocity of 100 m/s\(^{-1}\) at an angle of 30° above the horizontal. The horizontal distance between the cannon and the target is:
(Acceleration due to gravity \( g = 10 \) ms\(^{-2}\))
The relation between the current \( i \) (in ampere) in a conductor and the time \( t \) (in second) is given by \( i = 12t + 9t^2 \). The charge passing through the conductor between the times \( t = 2 \, \text{s} \) and \( t = 10 \, \text{s} \) is.
If the line \( 4x - 3y + p = 0 \) (where \( p + 3>0 \)) touches the circle \( x^2 + y^2 - 4x + 6y + 4 = 0 \) at the point \( (h,k) \), then the value of \( h - 2k \) is:
The displacement equations of sound waves produced by two sources are given by: \( y_1 = 5 \sin(400t) \) and \( y_2 = 8 \sin(408t) \), where \( t \) is time in seconds. If the waves are produced simultaneously, the number of beats produced per minute is:

Evaluate the integral: \[ \int \frac{\sec x}{3(\sec x + \tan x) + 2} \,dx \]

If the line \[ 2x + by + 5 = 0 \] forms an equilateral triangle with \[ ax^2 - 96bxy + ky^2 = 0, \] then \( a + 3k \) is: \
If all the numbers which are greater than 6000 and less than 10000 are formed with the digits \( 3,5,6,7,8 \) without repetition of the digits, then the difference between the number of odd numbers and the number of even numbers among them is:
Which of the following has the least electron gain enthalpy?
The mean and variance of a binomial variate \(X\) are \(\frac{16}{5}\) and \(\frac{48}{25}\) respectively. Given that \(P(X \geq 1) = 1 - K \left(\frac{3}{5}\right)^7\), find \(5K\):
A stone is thrown vertically up from the top end of a window of height 1.8 m with a velocity of 8 m/s\(^1\). The time taken by the stone to cross the window during its downward journey is:
(Acceleration due to gravity \( g = 10 \) ms\(^{-2}\))
If the focus of an ellipse is \((-1,-1)\), equation of its directrix corresponding to this focus is \(x + y + 1 = 0\) and its eccentricity is \(\frac{1}{\sqrt{2}}\), then the length of its major axis is:
The set of all real values of \(x\) for which the expansion of: $$ \left( 125x^2 - \frac{27}{x} \right)^{-23} $$ is valid, is: 
Given a square matrix \(A\) where \(A^2 + I = 2A\), find \(A^9\).
If \( (2, -1) \) is the point of intersection of the pair of lines \[ 2x^2 + axy + 3y^2 + bx + cy - 3 = 0 \quad \text{then} \quad 3a + 2b + c = \]
X and Z respectively in the following reaction sequence are: \[ C_3H_6 \xrightarrow{X} Y \xrightarrow{C_6H_6/AlCl_3} Z \]
If the angle between the pair of lines given by the equation \(ax^2 + 4xy + 2y^2 = 0\) is \(45^\circ\), then the possible values of 'a' are
f is a real valued function satisfying the relation \(f\bigl(3x + \tfrac{1}{2x}\bigr) \;=\; 9x^2 + \tfrac{1}{4x^2}\). If \(f\bigl(x + \tfrac{1}{x}\bigr) = 1\) then \(x =\) ?