List of top Questions asked in AP EAMCET

Evaluate \( \int_{ \log 4}^{ \log 5} \frac{e^{2x} + e^x}{e^{2x} - 5e^x +6} dx \):
Evaluate the integral: \[ I = \int (\tan^7 x + \tan x) dx. \]
Evaluate the integral: \[ I = \int \frac{\csc x}{3\cos x + 4\sin x} dx. \]
By considering \( 1' = 0.0175 \), the approximate value of \( \cot 45^\circ 2' \) is:
Evaluate the limit: \[ \lim_{x \to \infty} \left( \frac{3x^2 - 2x + 3}{3x^2 + x - 2} \right)^{3x - 2} \]
Let \( P(a, 4, 7) \) and \( Q(3, \beta, 8) \) be two points. If the YZ-plane divides the join of the points P and Q in the ratio 2:3 and the ZX-plane divides the join of P and Q in the ratio 4:5, then the length of line segment PQ is:
If the coordinate axes are rotated by \( 45^\circ \) about the origin in the counterclockwise direction, then the transformed equation of \( y^2 = 4ax \) is:
The probability that a person goes to college by car,\(\frac{1}{5}\) bus,\(\frac{2}{5}\) or train \(\frac{3}{5}\) is given. If he reaches college on time, find the probability he traveled by car.
A random variable \( X \) follows a Poisson distribution with mean 5. Find the probability that \( X3 \).
In \( \triangle ABC \), given: \[ a = 26, \quad b = 30, \quad \cos C = \frac{63}{65} \] Find \( c \).
In a regular hexagon \( ABCDEF \), if \( \overrightarrow{AB} = \mathbf{a} \) and \( \overrightarrow{BC} = \mathbf{b} \), then find \( \overrightarrow{FA} \).
Find the value of \( x \) satisfying: \[ 1 + \sin x + \sin^2 x + \sin^3 x + \dots = 4 + 2\sqrt{3} \] where \( 0x\pi, x \neq \frac{\pi}{2} \).
The coefficient of \( x^5 \) in the expansion of \( (3 + x + x^2)^6 \) is:

Two statements are given below 
Statement I: Benzanamine can be prepared from phthalimide. 
Statement II: Benzanamine is less basic than phenyl methanamine.

What is X in the following reaction? 


 
 

Amino acids are represented by the following general structure: 

Find out the pair in which amino acid is correctly matched with its group R: 
 

Sucrose is a disaccharide of which of the following?

In which of the following the polymer is correctly matched with the catalyst used for its preparation? 
I. Teflon - Persulphate 
II. Low density polythene - Triethyl aluminium and titanium tetrachloride 
III. Terylene - Zinc acetate/antimony trioxide 

In the disproportionation reaction of nitrous acid, X is formed along with nitric acid and water. X can also be obtained by the reaction of:

Match the following:

The electrolyte which is highly effective for the coagulation of antimony sulphide sol is:
 

At T(K), the decomposition of N2O5(g) is a first-order reaction. The initial pressure of N2O5(g) is 'a' atm. After time, t, the total pressure of the reaction is 'p' atm. The rate constant (k) of the reaction is
The cell reaction of a cell is given below: \[ 2 \, \text{Cu}^{+} \rightarrow \text{Cu} + \text{Cu}^{2+} \]

What is \( E^0_{\text{cell}} \) (in V)?

Given: \( E^0_{\text{Cu}^{2+}/\text{Cu}^{+}} = x \) V; \quad \( E^0_{\text{Cu}^{+}/\text{Cu}} = y \) V

1 g of \( XY_2 \) is dissolved in 20 g of \( C_6H_6 \). The \( \Delta T_f \) of the resultant solution is 2.318 K. When 1 g of \( XY_4 \) is dissolved in 20 g of \( C_6H_6 \), its \( \Delta T_f \) is found to be 1.314 K. What are the atomic masses of X and Y respectively?
(\( k_f \) of \( C_6H_6 \) is 5.1 K kg \( mol^{-1} \))

Identify the correctly matched sets: 
CO - neutral oxide GeO - acidic oxide PbO - basic oxide