List of top Questions asked in AP EAMCET

Magnetic field at a distance \(r\) from z axis is \( B = B_0 r \, \text{kt} \) present in the region. \( B_0 \) is constant and \(t\) is time. The magnitude of induced electric field at a distance \(r\) from z-axis is.
Which of the following hormones is responsible for preparing the uterus for implantation of a fertilized egg?
If \( (a, b) \) is the stationary point of the curve \( y = 2x - x^2 \), then the area bounded by the curves \( y = 2x - x^2 \), \( y = x^2 - 2x \), and \( x = a \) is:
Evaluate \( \int_{1}^{2} \frac{x^4 - 1}{x^6 - 1} dx \):
A body falling freely under gravity from rest from a certain height reaches the ground in \(5\) seconds. The distance travelled by the body in the last two seconds of its motion is:
100 mL of 0.1 M HA (weak acid) and 100 mL of 0.2 M NaA are mixed. What is the pH of the resultant solution? \((K_a \text{ of HA is } 10^{-5}, \log 2 = 0.3)\)
The real values of \( x \) that satisfy the equation \[ \tan^{-1}x + \tan^{-1}2x = \frac{\pi}{4} \] is:

Choose the incorrect statement related to life cycles: 
I. Sporophyte generation is represented by a single-celled zygote. 
II. Gametophyte is multicellular in Pteridophytes and Gymnosperms. 
III. Life cycle is diphlaplontic in Bryophytes. 
IV. Life cycle is haplodiplontic in Pteridophytes.

If a committee of 10 members is to be formed from 8 men and 6 women, then the number of different possible committees in which the men are in majority is:
10 g of a metal (M) reacts with oxygen to form 11.6 g of oxide. What is the equivalent weight of \( M \)?
The rms velocity (\( u_{\text{rms}} \)), mean velocity (\( u_{\text{av}} \)), and most probable velocity (\( u_{\text{mp}} \)) of a gas differ from each other at a given temperature. Which of the following ratios regarding them is correct?

In amplitude modulation, the amplitude of the carrier wave is 10 V and the amplitude of one of the side bands is 2 V. The modulation index is:

The circle S = x2 + y2 − 2x − 4y + 1 = 0 cuts the y-axis at A, B (OA: OB). If the radical axis of S ≡ 0 and S′ = x2 + y2 − 4x − 2y + 4 = 0 cuts the y-axis at C, then the ratio in which C divides AB is:

A boat man finds that he can save 8 s in crossing a river by quickest path than by the shortest path. If the velocity of the boat and the river flow are 13 m/s and 12 m/s respectively, then the width of the river is:
In a class consisting of 40 boys and 30 girls, 30% of the boys and 40% of the girls are good at Mathematics. If a student selected at random from that class is found to be a girl, then the probability that she is not good at Mathematics is:
The radical axis of the circles \[ x^2 + y^2 + 2gx + 2fy + c = 0 \] and \[ 2x^2 + 2y^2 + 3x + 8y + 2c = 0 \] touches the circle \[ x^2 + y^2 + 2x + 2y + 1 = 0. \] Then:
The equation of a circle which touches the straight lines \[ x + y = 2, \quad x - y = 2 \] and also touches the circle \[ x^2 + y^2 = 1 \] is:
The number of cytosine molecules in a typical ds DNA molecule which is having 20 coils with 480 Hydrogen bonds.
If \( \vec{a}, \vec{b}, \vec{c}, \vec{d} \) are position vectors of 4 points such that \( 2\vec{a} + 3\vec{b} + 5\vec{c} - 10\vec{d} = 0 \), then the ratio in which the line joining \( \vec{c} \) divides the line segment joining \( \vec{a} \) and \( \vec{b} \) is:
The electrostatic potential energy of the electron in an orbit of hydrogen is \( -6.8 \) eV. The speed of the electron in this orbit is (C is the speed of light in vacuum):
The current passing through a coil of 120 turns and inductance \( 40 \) mH is \( 30 \) mA. The magnetic flux linked with the coil is:
A flask contains 98 mg of H₂SO₄. If \( 3.01 \times 10^{20} \) molecules of H₂SO₄ are removed from the flask, the number of moles of H₂SO₄ remaining in the flask is (\( N = 6.02 \times 10^{23} \)):
In each of the following options, a function and an interval are given. Choose the option containing the function and the interval for which Lagrange’s Mean Value Theorem is not applicable.
P is a point on \( x + y + 5 = 0 \), whose perpendicular distance from \( 2x + 3y + 3 = 0 \) is \( \sqrt{13} \), then the coordinates of P are:
If \( O(0, 0, 0), A(3, 0, 0), B(0, 4, 0) \) form a triangle then the incenter of triangle OAB is: