List of top Questions asked in TS EAMCET

The domain of the real-valued function $$ f(x) = \sin^{-1} \left( \log_2 \left( \frac{x^2}{2} \right) \right) $$ is:

If the function

$ f(x) = \begin{cases} \frac{\cos ax - \cos 9x}{x^2}, & \text{if } x \neq 0 \\ 16, & \text{if } x = 0 \end{cases} $

is continuous at $ x = 0 $, then $ a = ? $

Ategmic, Unitegmic, and Bitegmic ovules are present serially in:

A particle moving from a fixed point on a straight line travels a distance $S$ meters in $t$ sec. If $S = t^3 - t^2 + t + 3$, then the distance (in mts) travelled by the particle when it comes to rest is:

Two positive point charges are separated by a distance of 4 m in air. If the sum of the two charges is $ 36 \mu C $ and the electrostatic force between them is $ 0.18 $ N, then the bigger charge is:

If $ \cos^2 84^\circ + \sin^2 126^\circ - \sin 84^\circ \cos 126^\circ = K $ and $ \cot A + \tan A = 2K $, then the possible values of $ \tan A $ are:

Number of cervical vertebrae in most mammals is:

The ratio between electric field energy density and magnetic field energy density of an electromagnetic wave, in its region is:

In Bohr model of hydrogen atom, if the difference between the radii of $ n^{th} $ and$ (n+1)^{th} $orbits is equal to the radius of the $ (n-1)^{th} $ orbit, then the value of $ n $ is:

Study the following and pick up the correct statements: \begin{itemize} \item[(I)] All the threatened species are listed in red data book \item[(II)] National parks, Sanctuaries, Biosphere Reserves etc. are some of the methods of ex-situ conservation \item[(III)] An area which is set aside, minimally disturbed for conservation of the resources of an area is called Biosphere Reserve \item[(IV)] $\beta$-diversity is measured by counting the number of taxa within a particular area \end{itemize}

A solid sphere and a disc of same mass $M$ and radius $R$ are kept such that their curved surfaces are in contact and their centers lie along the same horizontal line. The moment of inertia of the two body system about an axis passing through their point of contact and perpendicular to the plane of the disc is:

Identify the incorrect pair:

If the equation of the transverse common tangent of the circles $x^2 + y^2 - 4x + 6y + 4 = 0$ and $x^2 + y^2 + 2x - 2y - 2 = 0$ is $ax + by + c = 0$, then $\frac{a}{c} =$

At 300 K, the vapour pressure of liquids A and B are 600 and 500 mm of Hg respectively. Two moles of A and three moles of B are mixed. The mole fractions of A and B in vapor state are respectively

A vector of magnitude $\sqrt{2}$ units along the internal bisector of the angle between the vectors $2\mathbf{i} - 2\mathbf{j} + \mathbf{k}$ and $\mathbf{i} + 2\mathbf{j} + 2\mathbf{k}$ is:

Match the following:

If $ y = 44x^{45} + 45x^{44} $, then $ y'' $ is:

If $z = 1 - \sqrt{3}\,i$, then $z^3 - 3z^2 + 3z = \;?$

In which of the following organisms, cell wall is not found in any stage?

If $ \mathbf{a} = 4\hat{i} + 5\hat{j} - 3\hat{k} $ and $ \mathbf{b} = 6\hat{i} - 2\hat{j} - 2\hat{k} $ are two vectors, then the magnitude of the component of $ \mathbf{b} $ parallel to $ \mathbf{a} $ is:

The half-lives of two radioactive materials A and B are respectively $ T $ and $ 2T $. If the ratio of the initial masses of the materials A and B is 8:1, then the time after which the ratio of the masses of the materials A and B becomes 4:1 is:

P and Q are the points of trisection of the line segment joining the points $ (3, -7) $ and $ (-5,3) $. If line PQ subtends a right angle at a variable point R, then the locus of R is:

Match the following:

Assertion (A): Endosperm is haploid in Gymnosperms
Reason (R): Female gametophytic tissue acts as endosperm in Gymnosperms

In the following group of plants, sporophytes are dependent on gametophytes.