List of top Questions asked in TS EAMCET

Asexual spores are generally not found in:
Match the following:
\begin{tabular}{|c|c|} \hline Table - I & Table - II
\hline A) Diplointic & I) Spirogyra
B) Diplo-bionic & II) Laminaria
C) Haplo-diplontic & III) Polysiphonia
D) Haplontic & IV) Fucus
\hline \end{tabular}
The correct answer is
Sexual reproduction in plants was discovered by:
Specialized epidermal cells surrounding the guard cells are:
The system of equations \[ x + 3by + bz = 0, \quad x + 2ay + az = 0, \quad x + 4cy + cz = 0 \] has:

\[ D = \begin{vmatrix} -\frac{bc}{a^2} & \frac{c}{a} & \frac{b}{a} \\ \frac{c}{b} & -\frac{ac}{b^2} & \frac{a}{b} \\ \frac{b}{c} & \frac{a}{c} & -\frac{ab}{c^2} \end{vmatrix} \]

If \( Z_1 = \sqrt{3} + i\sqrt{3} \) and \( Z_2 = \sqrt{3} + i \), and \[ \left( \frac{Z_1}{Z_2} \right)^{50} = x + iy, \] then the point \( (x,y) \) lies in:
The solution set of the inequality \[ 3^x + 3^{1-x} - 4 <0 \] contained in \( \mathbb{R} \) is:

The roots of the equation \( x^3 - 3x^2 + 3x + 7 = 0 \) are \( \alpha, \beta, \gamma \) and \( w, w^2 \) are complex cube roots of unity. If the terms containing \( x^2 \) and \( x \) are missing in the transformed equation when each one of these roots is decreased by \( h \), then 

With respect to the roots of the equation \( 3x^3 + bx^2 + bx + 3 = 0 \), match the items of List-I with those of List-II.

The number of ways of arranging all the letters of the word "COMBINATIONS" around a circle so that no two vowels come together is 

A man has 7 relatives, 4 of them are ladies and 3 gents; his wife has 7 other relatives, 3 of them are ladies and 4 gents. The number of ways they can invite them to a party of 3 ladies and 3 gents so that there are 3 of man's relatives and 3 of wife's relatives, is 

If the coefficient of \( x^r \) in the expansion of \( (1 + x + x^2)^{100} \) is \( a_r \), and \( S = \sum\limits_{r=0}^{300} a_r \), then

\[ \sum\limits_{r=0}^{300} r a_r = \]

Given below are two statements, one is labelled as Assertion (A) and the other one labelled as Reason (R).
Assertion (A): \[ 1 + \frac{2.1}{3.2} + \frac{2.5.1}{3.6.4} + \frac{2.5.8.1}{3.6.9.8} + \dots \infty = \sqrt{4} \] Reason (R): \[ |x| <1, \quad (1 - x)^{-1} = 1 + nx + \frac{n(n+1)}{1.2} x^2 + \frac{n(n+1)(n+2)}{1.2.3} x^3 + \dots \] 

If \[ \frac{1}{x^4 + x^2 + 1} = \frac{Ax + B}{x^2 + ax + 1} + \frac{Cx + D}{x^2 - ax + 1} \] then \( A + B - C + D = ? \)

Identify the correct statements:

  • (i) LiF has more covalent character compared to KF.
  • (ii) Dipole moment of NF3 is greater than that of NH3.
  • (iii) The bond order is same for F2 and O2.
  • (iv) Ionic compounds possess low melting and boiling points.

If \( 0 <\theta <\frac{\pi}{4} \) and \( 8\cos\theta + 15\sin\theta = 15 \), then \( 15\cos\theta - 8\sin\theta = \)

Evaluate: \[ \sin 20^\circ (4 + \sec 20^\circ) = ? \]
If \( A \) is the solution set of the equation \( \cos^2 x = \cos^2 \frac{\pi}{6} \) and \( B \) is the solution set of the equation \( \cos^2 x = \log_{10} P \) where \( P + \frac{16}{P} = 10 \), then \( B - A = ? \)
The trigonometric equation \( \sin^{-1}x = 2\sin^{-1}a \) has a solution. Find the valid range for \( a \).
If \( \sinh x = \frac{12}{5} \), then \( \sinh 3x + \cosh 3x \) = ?
If \( \triangle ABC \) is an isosceles triangle with base \( BC \), then \( r_1 = ? \)
In \( \triangle ABC \), if \( r_1 + r_2 = 3R \), \( r_2 + r_3 = 2R \), then what type of triangle is \( \triangle ABC \)?

Let \( \bar{n} \) be a unit vector normal to the plane \( \pi \) containing the vectors \( \bar{T} + 3\bar{k} \) and \( 2\bar{i} + \bar{j} - \bar{k} \). If this plane \( \pi \) passes through the point \( (-3,7,1) \) and \( p \) is the perpendicular distance from the origin to this plane, then \( \sqrt{p^2 + 5} \) is:

If \( \bar{a} = \bar{i} - \bar{j} + 3\bar{k} \), \( \bar{c} = -\bar{k} \) are position vectors of two points and \( \bar{b} = 2\bar{i} - \bar{j} + \lambda \bar{k} \),

\( \bar{d} = \bar{i} + \bar{j} - \bar{k} \) are two vectors, then the lines \( r = \bar{a} + t \bar{b} \), \( r = \bar{c} + s \bar{d} \) are: