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TS EAMCET 2025
List of top Questions asked in TS EAMCET- 2025
If \( x = \log_e 3 \), then \( \tanh(2x) + \operatorname{sech}(2x) = \)
TS EAMCET - 2025
TS EAMCET
Mathematics
Trigonometry
If a=3, b=5, c=7 are the sides of a triangle ABC, then \( \cot A + \cot B + \cot C = \)
TS EAMCET - 2025
TS EAMCET
Mathematics
Geometry
Let \(p_1, p_2, p_3\) be the altitudes of a triangle ABC drawn through the vertices A, B, C respectively. If \(r_1=4, r_2=6, r_3=12\) are the ex-radii of triangle ABC then \( \frac{1}{p_1^2} + \frac{1}{p_2^2} + \frac{1}{p_3^2} = \)
TS EAMCET - 2025
TS EAMCET
Mathematics
Geometry
ABCD is a tetrahedron. \( \vec{i}-2\vec{j}+3\vec{k} \), \( -2\vec{i}+\vec{j}+3\vec{k} \), \( 3\vec{i}+2\vec{j}-\vec{k} \) are the position vectors of the points A, B, C respectively. \( -\vec{i}+2\vec{j}-3\vec{k} \) is the position vector of the centroid of the triangular face BCD. If G is the centroid of the tetrahedron, then GD =
TS EAMCET - 2025
TS EAMCET
Mathematics
Geometry and Vectors
If \( \frac{x+1}{x^3(x-1)} = \frac{a}{x} + \frac{b}{x^2} + \frac{c}{x^3} + \frac{d}{x-1} \) then
TS EAMCET - 2025
TS EAMCET
Mathematics
Algebra
5 boys and 5 girls have to sit around a table. The number of ways in which all of them can sit so that no two boys and no two girls are together is
TS EAMCET - 2025
TS EAMCET
Mathematics
Combinatorics
\((1-i\sqrt{3})^{2025}= \)
TS EAMCET - 2025
TS EAMCET
Mathematics
Algebra
If \( A = \begin{pmatrix} 1 & 2 & 2 \\ 2 & 1 & 1 \\ 1 & 2 & 1 \end{pmatrix} \), then \( |\text{Adj}(A^2)| = \)
TS EAMCET - 2025
TS EAMCET
Mathematics
Algebra
What is 'Z' in the given set of reactions? C$_6$H$_5$OCH$_3$ $\xrightarrow{HI}$ X + Y Y $\xrightarrow[\text{Anhy. AlCl}_3]{\text{C}_6\text{H}_6}$ Z
TS EAMCET - 2025
TS EAMCET
Chemistry
Aldehydes, Ketones and Carboxylic Acids
Which of the following can undergo Hell-Volhard-Zelinsky reaction?
TS EAMCET - 2025
TS EAMCET
Chemistry
Aldehydes, Ketones and Carboxylic Acids
Which of the following has lowest pK$_a$ value?
TS EAMCET - 2025
TS EAMCET
Chemistry
Aldehydes, Ketones and Carboxylic Acids
Identify the product 'Y' in the given sequence of reactions. (Chlorobenzene reacts with Conc. HNO$_3$ and Conc. H$_2$SO$_4$ to give X (Major). X then reacts with (i) NaOH, 443 K and (ii) H$^+$ to give Y.)
TS EAMCET - 2025
TS EAMCET
Chemistry
Organic Compounds Containing Nitrogen
The correct statements about the products B and C in the given reactions are (Ethanol reacts with HCl/Anhy ZnCl$_2$ to give A. A reacts with ethanolic AgCN to give B (Minor) and C (Major)). I. B and C are functional isomers II. With H$_2$|Catalyst B gives 1$^\circ$ amine and C gives 2$^\circ$ amine III. B on acid hydrolysis gives formic acid and C gives C$_3$H$_6$O$_2$ IV. C forms isocyanate with HgO
TS EAMCET - 2025
TS EAMCET
Chemistry
Organic Compounds Containing Nitrogen
Which of the following reactions is an example of Clemmensen reduction?
TS EAMCET - 2025
TS EAMCET
Chemistry
Alcohols, Phenols and Ethers
Total number of geometrical isomers possible for the complexes [NiCl$_4$]$^{2-}$, [CoCl$_2$(NH$_3$)$_4$]$^+$, [Co(NH$_3$)$_3$(NO$_2$)$_3$] and [Co(NH$_3$)$_5$Cl]$^{2+}$ is
TS EAMCET - 2025
TS EAMCET
Chemistry
Coordination Compounds
Identify the pair of drugs which act as antihistamines.
TS EAMCET - 2025
TS EAMCET
Chemistry
Chemistry in Everyday Life
Match the following The correct answer is
TS EAMCET - 2025
TS EAMCET
Chemistry
Polymers
The number of moles of oxalate ions oxidized by one mole of permanganate ions in acidic medium is
TS EAMCET - 2025
TS EAMCET
Chemistry
d -and f -Block Elements
Maltose on hydrolysis gives two monosaccharide units. The incorrect statement about the monosaccharides formed is
TS EAMCET - 2025
TS EAMCET
Chemistry
Biomolecules
Noble gas 'X' is used as a diluent for oxygen in modern diving apparatus and noble gas 'Y' is used mainly to provide an inert atmosphere in high temperature metallurgical processes. 'Y' and 'X' are respectively?
TS EAMCET - 2025
TS EAMCET
Chemistry
p -Block Elements
The dibasic oxoacid of phosphorus on disproportionation gives two products A and B. A and B are respectively
TS EAMCET - 2025
TS EAMCET
Chemistry
p -Block Elements
The half-life of a zero order reaction A $\rightarrow$ products, is 0.5 hour. The initial concentration of A is 4 mol L$^{-1}$. How much time (in hr) does it take for its concentration to come from 2.0 mol L$^{-1}$ to 1.0 mol L$^{-1}$?
TS EAMCET - 2025
TS EAMCET
Chemistry
Chemical Kinetics
Which one of the orders is correctly matched with the property mentioned against it?
TS EAMCET - 2025
TS EAMCET
Chemistry
p -Block Elements
Observe the following statements Statement - I: The choice of reducing agent for the reduction of an oxide ore can be predicted by using Ellingham diagram, a plot of $\Delta G^\circ$ Vs T. Statement - II: According to Ellingham diagram, metal oxide with higher $\Delta G^\circ$ is more stable than the oxide with lower $\Delta G^\circ$. The correct answer is
TS EAMCET - 2025
TS EAMCET
Chemistry
General Principles and Processes of Isolation of Elements
In the estimation of nitrogen by Kjeldahl's method 0.933 g of an organic compound 'X' was analyzed. Ammonia evolved was absorbed in 60 mL of 0.1 M H$_2$SO$_4$. The unreacted acid requires 20 mL of 0.1 M NaOH for complete neutralization. The compound 'X' is
TS EAMCET - 2025
TS EAMCET
Chemistry
Organic Chemistry
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