List of top Questions asked in TS EAMCET

If \( \frac{x+1}{x^3(x-1)} = \frac{a}{x} + \frac{b}{x^2} + \frac{c}{x^3} + \frac{d}{x-1} \) then
If \( y = f(\cosh x) \) and \( f'(x) = \log(x + \sqrt{x^2-1}) \) then \( \frac{d^2 y}{dx^2} = \)
If A, B are the points of contact of the tangents drawn from the point (-3,1) to the circle \( x^2+y^2-4x+2y-4=0 \), then the equation of the circumcircle of the triangle PAB is
Consider the following statements
Statement-I: $\cosh^{-1}x = \tanh^{-1}x$ has no solution
Statement-II: $\cosh^{-1}x = \coth^{-1}x$ has only one solution
The correct answer is
The value of the greatest integer k satisfying the inequation $2^{n+4} + 12 \geq k(n+4)$ for all $n \in N$ is
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
Number of solutions of the equation $\sin^2\theta + 2\cos^2\theta - \sqrt{3}\sin\theta\cos\theta = 2$ lying in the interval $(-\pi, \pi)$ is
Optical communication using fibres is performed in the frequency range of:
The layer of the atmosphere which efficiently reflects high frequency waves particularly at night is
In several fungi and plants, the bisexual condition is denoted by
Two wires A and B made of same material and areas of cross-section in the ratio $1:2$ are stretched by same force. If the masses of the wires A and B are in the ratio $2:3$, then the ratio of the elongations of the wires A and B is
Agaricus basidiocarp is having 60 basidia. Find out number of nuclear fusions, meiotic divisions and basidiospores formed from that basidiocarp
A metal crystallises in two cubic phases, fcc and bcc with edge lengths 3.5 Å and 3 Å respectively. The ratio of densities of fcc and bcc is approximately
Identify ``X'' name of enzyme; and ``Y'' enzyme class number by observing the reaction given below:
\[ \text{Glutamic acid} + NH_3 + \text{ATP} \xrightarrow{X} \text{Glutamine} + \text{ADP} + \text{iP} \]
Maltose on hydrolysis gives two monosaccharide units. The incorrect statement about the monosaccharides formed is
Observe the following colloids:
I. Gold
II. Detergent
III. Starch
IV. Soap
V. Synthetic rubber
VI. Sulphur
VII. Cellulose
The number of multimolecular colloids and macromolecular colloids in the above list is respectively
The force of mutual attraction between any two objects by virtue of their masses is
Identify the characters of ovules related to Bean family.
I. Body of ovule bends
II. Ovule is placed at right angles to the funiculus
III. Embryo sac is slightly curved
IV. Micropyle comes towards the funiculus
If the half life of an element is 10 minutes, then the time taken (in minutes) for the element to decay from 20% to 80% is
Three logic gates are connected as shown in the figure. If the inputs are A=1, B=0 and C=1, then the values of \(y_1, y_2\) and \(y_3\) respectively are
Identify correct matching of the following diseases:
(Note: The question header in the source image mentioned "viral diseases observed in plants" which appears to be a context error as Scrapie is an animal prion disease, but the matching task is clear.)
The oxygenation activity of RuBisCo enzyme in photorespiration forms
A uniform circular disc of mass $\dfrac{\pi}{40}$ kg is rotating about an axis passing through its center and perpendicular to its plane with an angular speed of 150 rev/min. If the angular momentum of the disc is 6.25 Js, then its radius is:
An alpha particle and a proton are accelerated from rest in a uniform electric field. The ratio of the times taken by proton and alpha particle to attain equal displacements is
The number of non-ionizable valences of Co$^{3+}$ and Pt$^{4+}$ ions in the complexes CoCl$_3\cdot5$NH$_3$ and PtCl$_4\cdot5$NH$_3$ is respectively