List of top Questions asked in TS EAMCET

In which of the following ionic pairs, the second ion is smaller in size than the first ion?
The combined equation of a possible pair of adjacent sides of a square with area 16 square units whose centre is the point of intersection of the lines \[ x + 2y - 3 = 0 \quad \text{and} \quad 2x - y - 1 = 0 \] is: \
If \( dQ, dU, dW \) are heat energy absorbed, change in internal energy, and external work done respectively by a diatomic gas at constant pressure, then \( dW : dU : dQ \) is:
The slope of a common tangent to the circles \( x^2 + y^2 - 4x - 8y + 16 = 0 \) and \( x^2 + y^2 - 6x - 16y + 64 = 0 \) is:
If 4 letters are selected at random from the letters of the word PROBABILITY, compute the probability that at least one letter is repeated in the selection.
A cannon placed on a cliff at a height of 375 m fires a cannonball with a velocity of 100 m/s\(^{-1}\) at an angle of 30° above the horizontal. The horizontal distance between the cannon and the target is:
(Acceleration due to gravity \( g = 10 \) ms\(^{-2}\))
If \( x - 2y - 6 = 0 \) is a normal to the circle \( x^2 + y^2 + 2gx + 2fy - 8 = 0 \) and the line \( y = 2 \) touches this circle, then the radius of the circle can be:

Two logic gates are connected as shown in the figure. If the inputs are \( A = 1 \) and \( B = 0 \), then the values of \( y_1 \) and \( y_2 \) respectively are:
 

The sum of all the 4-digit numbers formed by taking all the digits from \(2, 3, 5, 7\) without repetition is

Identify the products R and S in the reaction sequence given. 

If \(A + B + C = 2S\), then \[ \sin(S - A)\,\cos(S - B)\;-\;\sin(S - C)\,\cos S \;=\;? \]
If \(4+3x-7x^2\) attains its maximum value \(M\) at \(x=\alpha\) and \(5x^2-2x+1\) attains its minimum value at \(x=\beta\), then \[ \frac{28\,(M - \alpha)}{5\,(m + \beta)} =\,? \] \textit{(Assume \(m\) is that minimum value of \(5x^2 -2x +1\) at \(x=\beta\))}
The molecular formula of a coordinate complex is CoH\(_{12}\)O\(_6\)Cl\(_3\). When one mole of this aqueous solution of complex is reacted with excess of aqueous AgNO\(_3\) solution, three moles of AgCl were formed. What is the correct formula of the complex?
If \( z = x + iy \) and the point \( P \) represents \( z \) in the Argand plane, then the locus of \( z \) satisfying the equation \( |z-1| + |z+i| = 2 \) is:

The numerically greatest term in the expansion of (3x - 16y)15 when x = 2⁄3 and y = 3⁄2 is ?

A body P is projected at an angle of 30° with the horizontal and another body Q is projected at angle of 30° with the vertical. If the ratio of the horizontal ranges of the bodies P and Q is 1:2, then the ratio of the maximum heights reached by the bodies P and Q is
Two point charges -10 µC and +5 µC are situated on the X-axis at \( x = 0 \) and \( x = \sqrt{2} \, \text{m} \). The point along the X-axis where the electric field becomes zero is.
The general solution of the differential equation \[ \frac{dy}{dx} + \frac{\sin(2x + y)}{\cos x} + 2 = 0 \] is:

If \( A = \begin{pmatrix} 9 & 3 & 0 \\ 1 & 5 & 8 \\ 7 & 6 & 2 \end{pmatrix} \) and

\[ A^T A^{-2} = \begin{pmatrix} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33} \end{pmatrix} \]

then

\[ \sum_{1 \leq i \leq 3} \sum_{1 \leq j \leq 3} a_{ij} \]

is:

The hybridisation of the central atom of \( BF_3 \), \( SnCl_2 \), \( HgCl_2 \), respectively is?
If \( (2,3) \) is the focus and \( x - y + 3 = 0 \) is the directrix of a parabola, then the equation of the tangent drawn at the vertex of the parabola is:
Identify the pair of elements in which the difference in atomic radii is maximum.
A body is projected from the ground at an angle of \( \tan^{-1}\sqrt{7} \) with the horizontal. At half of the maximum height, the speed of the body is \( n \) times the speed of projection. The value of \( n \) is
If the ratio of the perpendicular distances of a variable point \( P(x,y,z) \) from the X-axis and from the YZ-plane is 2:3, then the equation of the locus of \( P \) is:
At T(K), \(K_c\) for the reaction AO\(_2\)(g) + BO\(_2\)(g) \(\rightleftharpoons\) AO\(_3\)(g) + BO(g) is 16. One mole each of reactants and products are taken in a 1L flask and heated to T(K), and equilibrium is established. What is the equilibrium concentration of BO (in mol L\(^{-1}\))?