List of top Questions asked in AP EAMCET

Match the following: 

Two persons A and B throw three unbiased dice one after the other. If A gets the sum 13, then the probability that B gets a higher sum is:
If the pair of lines represented by \[ 3x^2 - 5xy + P y^2 = 0 \] and \[ 6x^2 - xy - 5y^2 = 0 \] have one line in common, then the sum of all possible values of \( P \) is:
Which of the following polymerisation leads to the formation of neoprene?
The length of the tangent drawn at the point \( P \left( \frac{\pi}{4} \right) \) on the curve \( x^{2/3} + y^{2/3} = 2^{2/3} \) is:
tan 9$^\circ$ - tan 27$^\circ$ - tan 63$^\circ$ + tan 81$^\circ$ =
Two objects having masses in \(1:4\) ratio are at rest. When both of them are subjected to the same force separately, they achieved the same kinetic energy during times \(t_1\) and \(t_2\) respectively. The ratio of \(\frac{t_2}{t_1}\) is

Match the following: 

What is the percentage of carbon in the compound X, formed in the given sequence of reactions? 

Identify Z in the following reaction sequence. 


 

The centripetal acceleration of a particle in uniform circular motion is \( 18 \, {ms}^{-2} \). If the radius of the circular path is \( 50 \) cm, the change in velocity of the particle in a time of \( \frac{T}{18} \) is:
When a wave enters into a rarer medium from a denser medium, the property of the wave which remains constant is:
The rate of emission of radiation of a black body at 27°C is \(E_1\). If the temperature increased to 327°C the emission is \(E_2\), then \(E_2\) is:
The smallest positive value (in degrees) of \( \theta \) for which \( \tan(\theta + 100^\circ) = \tan(\theta + 50^\circ) \tan(\theta - 50^\circ) \) is valid, is:

Match List I with List II and select the correct answer. 


 

Two mercury drops, each with same radius \( r \), merged to form a bigger drop. If \( T \) is the surface tension of mercury, then the surface energy of the bigger drop is given by
If \( A = \begin{bmatrix} 2 & 3 \\ 1 & k \end{bmatrix} \) is a singular matrix, then the quadratic equation having the roots \( k \) and \( \frac{1}{k} \) is:
The area (in square units) bounded by the curves \( x = y^2 \) and \( x = 3 - 2y^2 \) is:
One bar magnet is in simple harmonic motion with time period \( T \) in an earth’s magnetic field. If its mass is increased by 9 times, the time period becomes:
If \( \alpha \) and \( \beta \) are two distinct negative roots of the equation \( x^5 - 5x^3 + 5x^2 - 1 = 0 \), then the equation of least degree with integer coefficients having \( \sqrt{-\alpha} \) and \( \sqrt{-\beta} \) as its roots is:
Polymers that can be softened on heating and hardened on cooling are called
Evaluate the integral: $$ \int \frac{x^3 \tan^{-1}(x^4)}{1 + x^8} \,dx. $$ 
What are \( X \) and \( Y \) respectively in the following reaction sequence? \begin{center} \includegraphics[]{139.png} \end{center}
If \(I_{n}=\int_{0}^{\pi/4}\tan^{n}x~dx,\) then \(I_{13}+I_{11}=\)
Identify B in the given reaction sequence:
phenylacetonitrile