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AP EAPCET
List of top Questions asked in AP EAPCET
If \( z_1 = 2 + 5i \), \( z_2 = -1 + 4i \) and \( z_3 = i \), then
\[ \frac{|z_1 - z_3|}{|z_3 - z_2|} = ? \]
AP EAPCET - 2023
AP EAPCET
Mathematics
Complex numbers
The locus of the variable point \( z = x + iy \) whose amplitude is always equal to \( \theta \), is:
AP EAPCET - 2023
AP EAPCET
Mathematics
Complex numbers
If \( f(x) = \frac{\cos^2 x + \sin^4 x}{\sin^2 x + \cos^4 x} \) for \( x \in \mathbb{R} \), then find \( f(2023) \).
AP EAPCET - 2023
AP EAPCET
Mathematics
Trigonometric Functions
If \( f(0) = 0, f(1) = 1, f(2) = 2 \) and \( f(x) = f(x-2) + f(x-3) \) for \( x = 3, 4, 5, \dots \), then find \( f(10) \).
AP EAPCET - 2023
AP EAPCET
Mathematics
Functions
The rank of the matrix \( A = \begin{bmatrix} 1 & 1 & 3 \\ 2 & 2 & 1 \\ 1 & 1 & 1 \end{bmatrix} \) is:
AP EAPCET - 2023
AP EAPCET
Mathematics
Matrix
If \( f(x) = \begin{cases} \sqrt{\pi - \cos^{-1} x}, & x = -1 \\ \frac{\sqrt{2(1 + x)}}{\pi + \cos^{-1} x}, & x \neq -1 \end{cases} \) is right continuous at \( x = -1 \), then \( \lambda = \)
AP EAPCET - 2023
AP EAPCET
Mathematics
Continuity
Hybridization of positively charged and negatively charged carbons of the following respectively are
AP EAPCET - 2023
AP EAPCET
Chemistry
Organic Chemistry
Catechol and m-cresol respectively are
AP EAPCET - 2023
AP EAPCET
Chemistry
Organic Chemistry
X and Y (major products) in the following reaction sequence are
AP EAPCET - 2023
AP EAPCET
Chemistry
Reaction mechanisms
X + Y \( \rightarrow \) oleum
The sum of oxidation states of central atom in X and Y is
AP EAPCET - 2023
AP EAPCET
Chemistry
Oxidation Number And Oxidation States
The formula of tris (ethane -1,2- diamine) cobalt (III) sulphate is:
AP EAPCET - 2023
AP EAPCET
Chemistry
Nomenclature of Coordination Compounds
Food preservative sodium benzoate is eliminated from the body as which of the following metabolite?
AP EAPCET - 2023
AP EAPCET
Chemistry
Chemistry in Everyday Life
Identify the condensation polymers from the following
A. PHBV
B. Buna-N
C. Neoprene
D. Nylon-6
E. Glyptal
AP EAPCET - 2023
AP EAPCET
Chemistry
Polymers
What is the osmotic pressure (in atm) of 0.02M aqueous glucose solution at 300 K? (R=0.082 L atm mol\(^{-1} \)K\(^{-1} \))
AP EAPCET - 2023
AP EAPCET
Chemistry
Colligative Properties
The elevation in the boiling point of aqueous urea solution is 0.104 K. What is its \( \Delta T_f \) (in K) value? (for Water \( K_b = 0.52 \) K kg mol\(^{-1} \), \( K_f = 1.86 \) K kg mol\(^{-1} \))
AP EAPCET - 2023
AP EAPCET
Chemistry
Colligative Properties
Which of the following is an example of a multi molecular colloid?
AP EAPCET - 2023
AP EAPCET
Chemistry
Surface Chemistry
Consider the reactions
I. \( CO + 3H_2 \xrightarrow{A} CH_4 + H_2O \)
II. \( CO + 2H_2 \xrightarrow{B} CH_3OH \)
III. \( O_2 + 2H_2 \xrightarrow{C} 2H_2O \)
The catalysts A, B, C are respectively
AP EAPCET - 2023
AP EAPCET
Chemistry
Catalysis
White metal is an alloy of
AP EAPCET - 2023
AP EAPCET
Chemistry
Metallurgy
Among the following the correct statements are
I. LiH, BeH\( _2 \) and MgH\( _2 \) are saline hydrides with significant covalent character
II. Saline hydrides are volatile
III. Electron - precise hydrides are Lewis bases
IV. The formula for chromium hydride is CrH
The correct option is
AP EAPCET - 2023
AP EAPCET
Chemistry
Inorganic chemistry
At a given temperature, the density of an ideal gas is proportional to (P = pressure of ideal gas)
AP EAPCET - 2023
AP EAPCET
Chemistry
Gas laws
Which of the following electronic transitions in hydrogen atom will require the highest energy?
AP EAPCET - 2023
AP EAPCET
Chemistry
Bohr’s Model for Hydrogen Atom
An amplitude modulated wave is represented by \( 10[1 + 0.6 \sin(40 \times 10^3 t)] \sin(4 \times 10^6 t) \) volt where t is in seconds. Then the ratio of the upper to the lower side band frequencies is
AP EAPCET - 2023
AP EAPCET
Physics
Amplitude Modulation
Correct order of basic strength of metallic hydroxides
AP EAPCET - 2023
AP EAPCET
Chemistry
Inorganic chemistry
Which of the following fluorides of Xenon does not exist?
AP EAPCET - 2023
AP EAPCET
Chemistry
Inorganic chemistry
The maximum kinetic energy of the emitted photoelectrons from a photosensitive material of work function \( \phi \), when light of frequency 'v' incidents on it is 'E'. If the frequency of the incident light is 3v, the maximum kinetic energy of the emitted photoelectrons is
AP EAPCET - 2023
AP EAPCET
Physics
Photoelectric Effect
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