List of top Questions asked in TS EAMCET

If \(\alpha_n\) is the coefficient of \(x^n\) in the expansion of \((1-x)^{-5}\) and \(\beta_n\) is the coefficient of \(x^n\) in the expansion of \((1-x)^{-4}\), then \(\alpha_{12} + \beta_{13}\) is equal to: 

The number of values of \(\theta\) lying in \([0, 2\pi]\) for which \(\sin 3\theta\) attains its maximum when \[ \left|\sin\theta \cdot \sin\left(\frac{\pi}{3} - \theta\right)\cdot \sin\left(\frac{\pi}{3} + \theta\right)\right| \le \frac{1}{8} \] is: 

If \(S = \{(x,y)\;|\; x = 2\cos t + 3\sin t,\; y = 3\cos t + 2\sin t,\; t \in \mathbb{R}\}\), then the points of \(S\) lie on the curve: 

\([y]\) represents the greatest integer less than or equal to \(y\) and \(\{y\}\) represents the fractional part of \(y\). If \[ \lim_{x \to 0^{+}} \left( [1-x] + \frac{a^{2[1-x] + \{1-x\} - 1}}{2[1-x] + \{1-x\}^{2}} \right) = 11, \] then \(a =\) ?

An iron rod of mass \(2\,\text{kg}\) and length \(1.5\,\text{m}\) is supplied \(18.4\,\text{kJ}\) of heat. If the specific heat capacity of iron is \(460\,\text{J kg}^{-1}\text{K}^{-1}\) and coefficient of linear expansion is \(1.2 \times 10^{-5}\^\circ\text{C}^{-1}\), then the increase in length of the rod is: 

If the wavelength of an electromagnetic radiation is 4288 \(\AA\), then the de Broglie wavelength associated with its photon is:

If the 9546 \(\AA\) wavelength spectral line in hydrogen spectrum is due to the transition of an electron from a higher orbit to \(n^{th}\) lower orbit, then the value of \(n\) is: