List of top Questions asked in TS EAMCET- 2025

A real valued function \( f(x)=\left|x^{2}-3x+2\right|+2x-3 \) is defined on \( [-2,1] \). If m and M are absolute minimum and absolute maximum values of \( f \) respectively then \( M-4m= \)

If \( f(x)=x+\log \left(\frac{x-1}{x+1}\right) \) is a well-defined real valued function then \( f \) is

Let 'a' be a positive real number. If a real valued function \( f(x) = \begin{cases}\frac{6^x - 3^x - 2^x + 1}{1 - \cos\left(\frac{x}{a}\right)} & \text{if } x \neq 0 \\ \log 3 \log 4 & \text{if } x = 0 \end{cases} \) is continuous at \( x=0 \), then \( a = \)

If [x] is the greatest integer function then \( \lim_{x \to 3^-} \frac{(3-|x| + \sin|3-x|) \cos(9-3x)}{|3-x|[3x-9]} = \)

One of the foci of an ellipse is \( (2,-3) \) and its corresponding directrix is \( 2x+y=5 \). If the eccentricity of the ellipse is \( \frac{\sqrt{5}}{3} \) then the coordinates of the other focus are

A line L perpendicular to the line \( 5x-12y+6=0 \) makes positive intercept on the Y-axis. If the distance from the origin to the line L is 2 units and the angle made by the perpendicular drawn from the origin to the line L with positive X-axis is \( \theta \), then \( \tan \theta + \cot \theta = \)

If \( X \sim B(7, p) \) is a binomial variate and \( P(X=3) = P(X=5) \) then \( p = \)

If \( \begin{vmatrix} 9 & 25 & 16 \\ 16 & 36 & 25 \\ 25 & 49 & 36 \end{vmatrix} = K \), then \( K, K+1 \) are the roots of the equation

If the augmented matrix corresponding to the system of equations \( x+y-z=1 \), \( 2x+4y-z=0 \) and \( 3x+4y+5z=18 \) is transformed to \( \begin{bmatrix} 1 & a & 0 & -1 \\ 0 & 2 & 1 & b \\ 0 & 0 & c & 32 \end{bmatrix} \), then

If the equation of the plane passing through the points (2,1,2), (1,2,1) and perpendicular to the plane \( 2x-y+2z=1 \) is \( ax+by+cz+d=0 \) then \( \frac{a+b}{c+d} = \)

The shortest distance between the lines \( \bar{r} = (3\bar{i} - 5\bar{j} + 2\bar{k}) + t(4\bar{i} + 3\bar{j} - \bar{k}) \) and \( \bar{r} = (\bar{i} + 2\bar{j} - 4\bar{k}) + s(6\bar{i} + 3\bar{j} - 2\bar{k}) \) is

If \( \bar{a} = \bar{i} - 2\bar{j} - 2\bar{k} \) and \( \bar{b} = 2\bar{i} + \bar{j} + 2\bar{k} \) are two vectors then \( (\bar{a} + 2\bar{b}) \times (3\bar{a} - \bar{b}) = \)

The major products P and Q from the following reactions are
Reaction 1: \( \text{P} \leftarrow[\text{(ii) H}_2\text{O}]{\text{(i) LiAlH}_4} \text{C}_6\text{H}_5\text{CONH}_2 \) Reaction 2: \( \text{C}_6\text{H}_5\text{CONH}_2 \xrightarrow{\text{Br}_2 / \text{NaOH}} \text{Q} \)

Consider the following reaction sequence. \( \text{CH}_3\text{CHO} \xrightarrow[\text{(ii) } \text{H}_2\text{O} / \text{H}^+]{\text{(i) } \text{CH}_3\text{MgBr}} \text{(A)} \xrightarrow{\text{H}_2\text{SO}_4, \Delta} \text{(B)} \xrightarrow[\text{(ii) } \text{H}_2\text{O}_2 / \text{OH}^-]{\text{(i) } \text{B}_2\text{H}_6} \text{(C)} \) (A) and (C) are

The structure of which artificial sweetener contains aspartic acid and phenylalanine parts?

Which of the following hormones is an example of polypeptide?

'X' is a polymer, which is mainly used for making unbreakable cups and laminated sheets. The monomers of 'X' are

Which one of the following is not an ambidentate ligand?

In acidic medium one mole each of \( \text{MnO}_4^- \) and \( \text{Cr}_2\text{O}_7^{2-} \) is reduced by x and y moles of ferrous ions. The sum of x and y is

Which of the following pairs of oxoacids has basicity as 2?

Xenon hexafluoride on partial hydrolysis gives 'X' and HF. The shape of 'X' is

Phosphorus on reaction with sulphuryl chloride gives a compound X, which on complete hydrolysis gives Y. X and Y are respectively

Which of the following is not related to extraction of copper?

For the reaction \( R \to P \), half life is independent of initial concentration of the reactant, R. Which one of the following graphs is not correct for this reaction?