List of top Questions asked in TS EAMCET- 2025

Identify the functions not related to Cytoskeleton?
I. Mechanical support
II. Cell motility
III. Intercellular transport
IV. Mesosome formation
If \( p_1, p_2, p_3 \) are the altitudes and \( a=4, b=5, c=6 \) are the sides of a triangle ABC, then \( \frac{1}{p_1^2} + \frac{1}{p_2^2} + \frac{1}{p_3^2} = \)
A, B, C, D and E are elements with atomic numbers 13, 11, 9, 7 and 16 respectively. Among these elements, ion of an element X has largest size and ion of an element Y has smallest size. X and Y are respectively (Assume that all ions have nearest inert gas configuration)
If $\tan(\frac{\pi}{4}+\frac{\alpha}{2}) = \tan^3(\frac{\pi}{4}+\frac{\beta}{2})$, then $\frac{3+\sin^2\beta}{1+3\sin^2\beta}=$
A, B1, B2, B3 are the events in a random experiment. If \( P(B_1)=0.25, P(B_2)=0.30, P(B_3)=0.45 \), \( P(A|B_1)=0.05, P(A|B_2)=0.04, P(A|B_3)=0.03 \), then \( P(B_2|A) = \)
If \( \frac{2+3i}{i-2} - \frac{4i-3}{3+4i} = x+iy \), then \( 3x+y = \)
The area of the triangle formed by the line L with the coordinate axes is 12 sq. units. If L passes through the point (12,4) and the product P of X-intercept of L and square of the Y-intercept of L is negative, then P =
When electromagnetic radiation of wavelength 310 nm falls on the surface of a metal having work function 3.55 eV, the velocity of photoelectrons emitted is \( x \times 10^5 \text{ms}^{-1} \). The value of \( x \) is (Nearest integer) (\( m_e = 9 \times 10^{-31} \text{kg} \))
The power of a point (2,-1) with respect to a circle C of radius 4 is 9. The centre of the circle C lies on the line x+y=0 and in the 2nd quadrant. If \((\alpha, \beta)\) is the centre of the circle C, then \(\beta - \alpha = \)
A Carnot engine uses diatomic gas as a working substance. During the adiabatic expansion part of the cycle, if the volume of the gas becomes 32 times its initial volume, then the efficiency of the engine is
On prolonged heating with HI, glucose gives a compound 'C', which can be obtained by Wurtz reaction using sodium metal and compound 'D'. Identify 'D'
If the centre $(\alpha, \beta)$ of a circle cutting the circles $x^2+y^2-2y-3=0$ and $x^2+y^2+4x+3=0$ orthogonally lies on the line $2x-3y+4=0$, then $2\alpha+\beta=$
The system of linear equations $(\sin\theta)x+y-2z=0$, $2x-y+(\cos\theta)z = 0$ and $-3x+(\sec\theta)y+3z=0$, where $\theta \neq (2n+1)\frac{\pi}{2}$, has non-trivial solution for
Two identical wires, carrying equal currents are bent into circular coils A and B with 2 and 3 turns respectively. The ratio of the magnetic fields at the centres of the coils A and B is
If \( \vec{a} = \vec{i}-2\vec{j}+2\vec{k} \), \( \vec{b} = 6\vec{i}+3\vec{j}-2\vec{k} \), \( \vec{c} = -4\vec{i}+3\vec{j}+12\vec{k} \) are three vectors then the value of the expression is...
If one of the roots of the equation \(6x^3 - 25x^2 + 2x + 8 = 0\) is an integer and \(\alpha>0\), \(\beta<0\) are the other two roots, then \( \frac{4}{\alpha} + \frac{1}{\beta} = \)
Identify A, B, C and D in the diagram of E.coli cloning vector of pBR322:
A, C are \( 3 \times 3 \) matrices. B, D are \( 3 \times 1 \) matrices. If \( AX=B \) has a unique solution and \( CX=D \) has an infinite number of solutions, then
If $D \subset \mathbb{R}$ and $f : D \to \mathbb{R}$ defined by $f(x) = \frac{x^2+x+a}{x^2-x+a}$ is a surjection then '$a$' lies in the interval
Match the following The correct answer is
The substitution required to reduce the differential equation \(t^2 dx + (x^2 - tx + t^2) dt = 0\) to a differential equation which can be solved by variables separable method is
Let \( z=x+iy \) and \( P(x,y) \) be a point on the Argand plane. If \( z \) satisfies the condition \( \text{Arg}\left(\frac{z-3i}{z+2i}\right) = \frac{\pi}{4} \), then the locus of P is
The equation which represents the system of parabolas whose axis is parallel to y-axis satisfies the differential equation
If the variance of the numbers \( 9, 15, 21, \dots, (6n+3) \) is P, then the variance of the first \( n \) even numbers is
$16 \sin 12^\circ \cos 18^\circ \sin 48^\circ =$