List of top Questions asked in AP EAPCET- 2023

The area bounded by the curve \( x = \log(|y|) \), the lines \( x = -1 \) and \( x = 0 \) is:
If the speed of a wave doubles as it passes from shallow water into deeper water, its wavelength will be
A truck of mass \( M \) and a car of mass \( \frac{M}{10} \) moving with the same momentum are brought to halt by the application of the same breaking force. The ratio of the distances travelled by the truck and car before they come to stop is:
From a collection of eight cards numbered 1 to 8, if two cards are drawn at random, one after the other with replacement, then the probability that the product of numbers that appear on the cards is a perfect square is:

If $f(x) = \frac{1 - x + \sqrt{9x^2 + 10x + 1}}{2x}$, then $\lim_{x \to -1^-} f(x) =$

The process which involves the treatment of the ore with a suitable reagent so as to make it soluble but not impurities is called
Observe the following Ellingham diagram, and identify the incorrect statement regarding it:
Above 1673K, Al can reduce MgO to Mg
The major product of the following reaction is
alkyl group
Satellites which give high value data for remote sensing, meteorology, and environmental studies are
The material used in the fabrication of infrared LED's is
Identify the correct statements with respect to cis / trans-2-butene from the following
I. cis-2-Butene is more polar than trans - 2 Butene
II. melting point of cis-2-Butene is greater than that of trans -2- Butene
III. boiling point of cis-2- Butene is greater than that of trans - 2- Butene
Planes $\pi_1$ and $\pi_2$ are defined by vectors. If $|\vec{a}| = \sqrt{14}$ and $\vec{a}$ is parallel to their intersection, then $|\vec{a} \cdot (\hat{i} + \hat{j} + \hat{k})| = $
A metal wire with circular cross section and length one metre is pulled with tensile force of 1000 N on each side. For the wire to be stretched not more than 0.25 cm, the minimum diameter of the wire required is:
(Young's modulus of the metal $= 10^{11}$ \text{ Pa, take } $\sqrt{\pi} = 1.77$)
A cylindrical rod made of aluminum has length 1 meter and diameter of 10 cm. The rod is subjected to a tensile force of 100 kN. The elongation in the rod is:
The equation of a tangent to the circle \(x^2 + y^2 + 2x - 12y - 132 = 0\) which is perpendicular to the line \(12x + 5y + k = 0\) is:
If the extremities of a diagonal of a square are \( (1, -2, 3) \) and \( (2, -3, 5) \), then the length of its side is:
Arrange the following in order of increasing number of unpaired electrons in them:
  1. \([Fe(CN)_6]^{3-}\)
  2. \([MnCl_6]^{3-}\)
  3. \([FeF_6]^{3-}\)
  4. \([Co(NH_3)_6]^{3+}\)
The coefficient of \( x^3 \) in the expansion of \( (1 - x)^{\frac{3}{2}} \), where \( |x|<1 \), is:
The angle between two vectors $\vec{i} + \vec{j}$ and $\vec{j} + \vec{k}$ is
Which of the following reactions occur during calcination?
Given below are two statements
Assertion (A): Ethylamine is stronger base than ammonia
Reason (R): It is due to $-$I effect of ethyl group
The correct answer is
If \( \sqrt{-3 - 4i} = re^{i\theta} \), then \( r^2 \tan \theta = \)
When light of wavelength \( \lambda \) incidents on a photosensitive material, photoelectrons are emitted. If the wavelength of the incident light is reduced by 50\%, the maximum kinetic energy of the emitted photoelectrons becomes 3 times the initial maximum kinetic energy. The work function of the material is:
The number of natural numbers less than 10000 which are divisible by 5 and that no digit is repeated in the same number, is
The set \( \{ x \in \mathbb{R} : 4 + 11x - 3x^2>0 \} \) is the interval: