List of top Questions asked in TS EAMCET- 2026

If \(\theta\) is angle between parabolas \[ y^2=108x \] and \[ x^2=32y \] then \[ \cos2\theta= \]

If \[ A= \begin{bmatrix} 0&\alpha&\beta\\ \beta&\alpha&0\\ \alpha&0&\beta \end{bmatrix} \] where \(\beta>\alpha>0\) and \[ AA^T= \begin{bmatrix} 25&a&b\\ a&25&12\\ b&a&25 \end{bmatrix} \] then \[ a+b+\alpha-\beta= \]

Approximate $(0.98)^{0.2}$ using binomial expansion.}

If \[ \vec r=\vec a+t\vec b \quad\text{and}\quad \vec r=\vec p+l\vec b \] are two lines, where \[ \vec a=\hat i+2\hat j,\qquad \vec b=\hat i+\hat j+\hat k,\qquad \vec p=2\hat i+\hat k. \] The position vector of a point \(A\) is \[ 5\hat i+\hat j-3\hat k. \] Let \(B,C\) be the feet of the perpendiculars drawn from \(A\) to the given two lines respectively, then \[ \overrightarrow{BA}+\overrightarrow{AC}= \]

If \[ A=\operatorname{Adj}\!\left(-2\left(\operatorname{Adj}(P^{-1})\right)\right) \] and \[ P= \begin{bmatrix} 1& 2& 1 1& 0& 1 0& 1& 2 \end{bmatrix}, \] then \(|A|=\)

When a current of \(3\text{ A}\) flows through a uniform copper wire of radius \(0.6\text{ mm}\), the average drift speed of the electrons is \(V\). If \(1.5\text{ A}\) current is flowing in another uniform copper wire of radius \(1.2\text{ mm}\), then the average drift speed of the electrons is:

If \(P(1,2,5)\), \(Q(3,0,7)\), \(R(6,-3,10)\) are collinear and \((\alpha,\beta,\gamma)\) is a point at distance 3 from \(P\) on the same line, then the value of \(\alpha+\beta+\gamma\) lying between 6 and 7 is:

The work done by a centripetal force is:

In a Poisson distribution with parameter \(\lambda\), if \[ 5P(X=3)=P(X=5) \] then \[ P(X=2)= \]

If sides of a triangle are \(6\) and \(3+3\sqrt3\) with included angle \(60^\circ\), then circumradius is

If sum of reciprocals of intercepts of a line equals A.M. of \(\frac{2}{3}\) and \(\frac{4}{5}\), then point of concurrence is

If \( \omega \) is a complex cube root of unity, then \[ \cos\left(\left(\omega^{1234} + \omega^{2021}\right)\pi - \frac{\pi}{4}\right) = \]

The fundamental force responsible for the stability of the nuclei is

One second after projection, the horizontal and vertical velocities of a projectile are found to be equal and after one more second, the motion of the projectile is along the horizontal. The horizontal range of the projectile is \[ (g=10~\text{m s}^{-2}) \]

Number of solutions of the equation \[ \sin\theta+\sin3\theta+\sin5\theta=0 \] in \([-\pi,\pi]\) is

If \[ (\sin\theta+\cos\theta)^4+(\sin\theta-\cos\theta)^4 = p - q(\sin^4\theta+\cos^4\theta), \] then \(p+q=\)

Tangent to circle \(x^2+y^2-4x-8y-5=0\) equally inclined to axes is \(x+by+c=0\), \(b0\). Find \(2b+c\).

In the given circuit, if the forward biased resistance of each diode is \(20\,\Omega\) and the reverse biased resistance of each diode is infinity, then the value of current \(I\) is:

For an LCR series circuit at resonance, the incorrect statement is

Evaluate \[ \int_{\frac{\pi}{4}}^{\frac{3\pi}{4}} \frac{x\sin x}{1+\cos2x}\,dx \]

The effective resistance between the points A and B of the circuit shown in the figure is:

If A, B and C represent the power gain, base resistance and collector resistance respectively of a transistor connected in common emitter configuration, then the common emitter current amplification factor is:

If a random variable \(X\) has the following probability distribution, then the mean of \(X\) is

Which of the following statements are correct? I. Liquid sodium metal is used as coolant in fast breeder nuclear reactor II. LiCl is deliquescent III. LiF and CsI have low solubility in water

Observe the following sequence of reactions and identify the correct statements about \(W\), \(X\) and \(Z\): \[ Ca + O_2 \rightarrow X \xrightarrow{H_2O} Y \xrightarrow{CO_2} Z \xrightarrow{-H_2O} Z \xrightarrow{H_2O/\text{ excess }CO_2} W \] I. W is soluble in water II. Z is used as mild abrasive in toothpaste III. X is slaked lime