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AP EAPCET
List of top Questions asked in AP EAPCET
In the Argand plane, the values of \( z \) satisfying the equation \( |z - 1| = |i(z + 1)| \) lie on:
AP EAPCET - 2023
AP EAPCET
Mathematics
Complex numbers
If \( 1, \omega, \omega^2 \) are the cube roots of unity and \( f(x, y) = (x + y)(x\omega + y\omega^2)(x\omega^2 + y\omega) \), then \( f(2, 3) \) is:
AP EAPCET - 2023
AP EAPCET
Mathematics
Complex numbers
If \( -3 + ix^2y \) and \( x^2 + y + 4i \) are complex conjugates, then \( x = \):
AP EAPCET - 2023
AP EAPCET
Mathematics
Complex numbers
If \( A + 2B = \begin{bmatrix} 1 & 2 & 0 \\ 6 & -3 & 3 \\ -5 & 3 & 1 \end{bmatrix} \) and \( 2A - B = \begin{bmatrix} 2 & -1 & 5 \\ 2 & -1 & 6 \\ 0 & 1 & 2 \end{bmatrix} \), then \( \text{Tr}[A] - \text{Tr}[B] \) equals:
AP EAPCET - 2023
AP EAPCET
Mathematics
Matrix
If \( A = \begin{bmatrix} 2 & 0 & -3 \\ 4 & 3 & 1 \\ -5 & 7 & 2 \end{bmatrix} \) is expressed as a sum of a symmetric matrix \( P \) and a skew-symmetric matrix \( Q \), then \( P^T - Q^T \) equals:
AP EAPCET - 2023
AP EAPCET
Mathematics
Matrix
If \( f : \mathbb{R} \setminus \{0\} \to \mathbb{R} \) is defined by \( f(x) = x + \frac{1}{x} \), then the value of \( \left(f(x)\right)^2 \) is:
AP EAPCET - 2023
AP EAPCET
Mathematics
Functions
What are 'X' and 'Y' in the following reaction?
AP EAPCET - 2023
AP EAPCET
Chemistry
Organic Chemistry
The sequence of reagents required to convert aniline to benzene nitrile are
AP EAPCET - 2023
AP EAPCET
Chemistry
Organic Chemistry
The sum of the distinct values of \( x \) for which the matrix \( A = \begin{bmatrix} 1 & 1 & x \\ 1 & x & 1 \\ x & 1 & 1 \end{bmatrix} \) has no inverse, is:
AP EAPCET - 2023
AP EAPCET
Mathematics
Matrix
The range of the real valued function \( f(x) = \sqrt{9 - x^2} \) is:
AP EAPCET - 2023
AP EAPCET
Mathematics
Functions
Which of the following hormones modulate inflammatory reactions?
AP EAPCET - 2023
AP EAPCET
Chemistry
Hormones
Which of the following are fibrous proteins?
Keratin, Insulin, Myosin, Albumin
AP EAPCET - 2023
AP EAPCET
Chemistry
Proteins
Chlorocyclohexane is
AP EAPCET - 2023
AP EAPCET
Chemistry
Organic Chemistry
Which of the following reagents will convert isobutyraldehyde to the corresponding acid?
AP EAPCET - 2023
AP EAPCET
Chemistry
Organic Reactions
Correct statements with respect to morphine (X) and Veronal (Y) are
A) Both X and Y are sleep producing agents
B) X is hypnotic and Y is analgesic
C) X is analgesic and Y is hypnotic
D) X is non-narcotic analgesic and Y is antidepressant
AP EAPCET - 2023
AP EAPCET
Chemistry
Hormones
What are 'X' and 'Y' respectively in the following reaction sequence?
AP EAPCET - 2023
AP EAPCET
Chemistry
Organic Reactions
Which of the polymer is used in the controlled release of drug?
AP EAPCET - 2023
AP EAPCET
Chemistry
Polymers
2.0 g of activated charcoal is added to 100 mL of 0.5 M acetic acid (molar mass 60 g mol\(^{-1}\)), shaken well and filtered. The concentration of solution is reduced to 0.4 M. How many grams of acetic acid is adsorbed on charcoal per gram?
AP EAPCET - 2023
AP EAPCET
Chemistry
Adsorption
This equation represents the preparation of gold sol by
\[ 2 \, \text{AuCl}_3 + 3 \, \text{CHO} + 3 \, \text{H}_2 \text{O} \rightarrow 2 \, \text{Au} + 3 \, \text{HCOOH} + 6 \, \text{HCl} \]
AP EAPCET - 2023
AP EAPCET
Chemistry
Redox reactions
Arrange the oxides CrO, Cr2O3 and CrO3 in the decreasing order of acidic strength
AP EAPCET - 2023
AP EAPCET
Chemistry
Oxides
IUPAC name of [Pt(NH$_3$)$_2$Cl(NH$_2$CH$_3$)]Cl is
AP EAPCET - 2023
AP EAPCET
Chemistry
coordination compounds
Identify the correct statements from the following
I. Brass is an alloy of copper and nickel
II. Bronze is an alloy of copper and zinc
III. German silver is an alloy of copper, zinc and nickel
IV. Brass is an alloy of copper and zinc
AP EAPCET - 2023
AP EAPCET
Chemistry
Alloys
Match the following
AP EAPCET - 2023
AP EAPCET
Chemistry
Molecular Geometry
A solution is formed by the combination of two liquids such as dichloromethane and chloroform. The partial pressures of dichloromethane and chloroform in solution are 285.5 and 62.4 mm Hg respectively. What is the total pressure of the solution?
AP EAPCET - 2023
AP EAPCET
Chemistry
Dalton’s Atomic Theory
If the osmotic pressure of cane sugar solution is 2.46 atm at 27°C, then what is the concentration (in mol L\(^{-1}\)) of the solution (R = 0.0821 L atm mol\(^{-1}\) K\(^{-1}\))
AP EAPCET - 2023
AP EAPCET
Chemistry
Osmotic pressure
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