List of top Questions asked in TS EAMCET- 2026

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

Let \[ \vec a=i+2j+2k,\quad \vec b=2i-j+2k,\quad \vec c=2i+j+2k \] If \(\vec d\times \vec a=\vec b\times \vec a\) and \(\vec d\cdot \vec c=8\), then for \(\vec r=2i+2j+k\), find \(\vec d\cdot \vec r\)

The variance for the following discrete frequency distribution is

If \[ \vec a=i+2j-2k,\quad \vec b=6i-3j+2k, \] and \(\vec c\perp \vec a\), \(\vec c\times \vec b=i-2j-6k\), then angle between \(\vec b\) and \(\vec c\) is

Let \(\vec a=i+j+k\), \(\vec b=i-j+k\). If \(\vec c \perp \vec a\), \(\vec d \parallel \vec a\), and \(\vec b=\vec c+\vec d\), then \((\vec c\times \vec d)^2=\)

Let \(O\) be the origin and \(\vec r\) be the position vector of a point \(P\). If \(\overline{OP}\) makes angles \(\frac{\pi}{3}\) and \(\frac{\pi}{6}\) with \(\overline{i}\) and \(\overline{j}\) respectively, then a vector along \(\overline{OP}\) with magnitude 2 is

Given position vectors of A, B, C, D are coplanar, find \(y-x\) for intersection of AB and CD.

If \(x\in\left(0,\frac{1}{\sqrt2}\right)\), then \[ \cot\left[\cos^{-1}\{\tan(\sin^{-1}x)\}\right]= \]

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

In triangle ABC, \[ (r_1-r)\cos\frac{B-C}{2} = ? \]

If \(\sinh x=\frac{12}{5}\), then \[ \cosh2x-\sinh2x= \]

\[ \sin9^\circ\sin18^\circ\sin36^\circ\sin54^\circ\sin72^\circ\sin81^\circ \]

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

If \(x=\tan A, y=\tan B, z=\tan C\) and \[ xy+yz+zx=1, \] then evaluate \[ \frac{(1-x^2)(1-y^2)(1-z^2)}{(1+x^2)(1+y^2)(1+z^2)} \]

There are 3 different jobs in an office. 3 women and 5 men have attended before the selection committee. If each is eligible for all jobs and at least one woman must be selected, the number of ways of allotting the 3 jobs is

A question paper contains 3 parts A, B and C. There are 5 questions in A, 4 in B and 3 in C. At least 3 questions from A, at least 2 from B and at least 1 from C must be attempted. If a student attempts 7 questions satisfying these conditions, the number of ways is

If \[ x=2+\frac{7}{8}+\frac{7\cdot10}{8\cdot12}+\frac{7\cdot10\cdot13}{8\cdot12\cdot16}+\cdots, \] then \(x^3=\)

Numerically greatest term in the expansion of \((2x-3y)^n\) for \(x=\frac{3}{2}, y=\frac{1}{3}, n=6\) is

If \[ \frac{x}{x^{4}+1}=\frac{Ax+B}{f(x)}+\frac{Cx+D}{g(x)}, \quad f(x)g(x)=x^{4}+1, \quad f(1)=2+\sqrt{2}, \] then \[ \frac{1}{D^{3}}+\frac{2}{B}= \]

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

The number of real roots of the equation \[ e^{3x}-2e^{2x}-e^{x}+2=0 \] is

If one of the values of \[ \sqrt{-1-\sqrt{3}i} \] is \(\alpha+i\beta\), where \(\alpha<0\) and \(\beta>0\), then \(\alpha=\)

The number of 3-digit numbers formed using digits 2,3,5,7,9 without repetition that are divisible by 3 is

If \(\alpha,\beta\) are the integral roots of \[ 6x^4+5x^3-38x^2+5x+6=0, \] then \(\alpha^4+\beta^4=\)

If \(\alpha>0\) and \(\beta\) are the roots of the equation \[ \sqrt{\frac{x-1}{x+2}} + \sqrt{\frac{x+2}{x-1}} = \frac{13}{6}, \] then \(4\alpha-\beta=\)