List of top Questions asked in TS EAMCET- 2026

Let \[ \vec a=2\vec i-\vec j-3\vec k,\qquad \vec b=\vec i+3\vec j-2\vec k,\qquad \vec c=3\vec i-2\vec j+\vec k \] If magnitude of projection of \[ \vec a+\lambda\vec b \] on \(\vec c\) is \[ \frac{10}{\sqrt{14}} \] then sum of squares of magnitudes of all such vectors is

Which of the following statements about \(C_6H_5N_2BF_4\) are correct? I. With NaF gives \(C_6H_5F\) II. With NaNO\(_2\)/Cu gives \(C_6H_5NO_2\) III. On heating gives \(C_6H_5F\) IV. With HNO\(_3\) gives \(C_6H_5NO_2\)

If all roots of \[ x^5-3x^4+2x^3-3x^2+5x-2=0 \] are increased by real value h so that term containing \(x^3\) vanishes in transformed equation and h is integer, then h=

Number of solutions of equation \[ 3^{2\sin^2x}+3^{2\cos^2x}=6 \] lying in interval \[ [-\pi,\pi] \] is

The SI unit of self-inductance is:

If \(S(n):2n<n!\), \(n\in\mathbb N\), then \(S(n+1)\) is true for all \(n\ge\):

The correct order of hydration enthalpy of ions of Li, Na, Mg, Ca is

Which of the following has the highest electronegativity?

For an amplitude modulated wave, if the maximum amplitude is \(400%\) more than its minimum amplitude, then the modulation index is

The susceptibility of Al is $2 \times 10^{-5}$. The percent increase in the magnetic field when the space within a current carrying toroid is filled with Al is:

A ball of mass 0.5 kg is dropped freely from a point A which is at a height of 10 m from the ground. Between second and third collisions with the ground, the linear momentum of the ball becomes zero at a point B. If the coefficient of restitution between the ball and the ground is 0.5, then the percentage loss of the potential energy of the ball when it reaches point B is

If a capillary tube of inner radius \(0.5mm\) is immersed vertically in water, then mass of water risen in capillary tube is (Surface tension \(=0.07Nm^{-1}\), \(g=10ms^{-2}\))

A metal sphere of density \(9300\text{ kg m}^{-3}\) and radius \(1.5\text{ mm}\) is falling with a terminal velocity \(V\) through a vertical column of liquid of density \(1300\text{ kg m}^{-3}\) and coefficient of viscosity \(\eta\). The terminal velocity of another sphere of the same metal but of radius \(3\text{ mm}\) falling through another liquid of density \(800\text{ kg m}^{-3}\) and coefficient of viscosity \(1.7\eta\) is:

$\text{KMnO}_4$ oxidizes $\text{M}^{2+}$ to $\text{M}^{4+}$ in acid medium. $500\text{ mL}$ of $0.02\text{M}$ $\text{M}^{2+}$ solution requires $500\text{ mL}$ of $x\text{ M}$ $\text{MnO}_4^-$ solution for complete oxidation. The value of $x$ is:

8 g of NaOH is dissolved in 1.0 L solution containing one mole of acetic acid and one mole of sodium acetate. The pH value of the resulting solution is: \[ pK_a=4.74 \]

Let \[ A= \begin{bmatrix} x&2&-1\\ -2&1&2x\\ 3x&2&1 \end{bmatrix} \] and \[ det(A)=f(x) \] If \(f(x)\) attains minimum value \(m\) at \(x=n\), then \[ \left|\frac{m}{n}\right|= \]

Phosphorus acid ($\mathrm{H_3PO_3}$) on heating undergoes disproportionation to give:

If the vector \[ \alpha\hat i+\beta\hat j+\hat k \] is along the bisector of the angle between the vectors \[ 2\hat i-\hat j+2\hat k \] and \[ \hat i+2\hat j+2\hat k, \] then \(2\alpha+6\beta=\)

If the real valued function \[ f(x)=\log(2x-3)-2x^2+6x-4 \] then the interval in which \(f(x)\) is increasing is

Bag A: 4W,3R,2B; Bag B: 2W,4R,3B. One bag chosen randomly, two balls drawn. Probability of one white and one black is

A student found 6 Mathematics books, 5 Physics books and 4 Chemistry books. If he buys at least one book of each subject, total number of ways is

A particle executes SHM with amplitude 40 cm and time period 6 s. Minimum time to move from mean position to a point at 20 cm from extreme position is:

The coefficient of $x^{3}$ in the expansion of $(1 - \frac{3}{4}x)^{\frac{1}{2}}$ is

Energy band gap of an insulator is approximately:

The length of an open pipe is half of the length of another closed pipe. When the two pipes are vibrated, four nodes are formed in both the cases. The ratio of the frequencies of the open and the closed pipes is: