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AP EAPCET
List of top Questions asked in AP EAPCET
If the roots of the equation \( 3x^2 + 4kx + 3 = 0 \) are non-real, then \( k \) lies in the interval:
AP EAPCET - 2023
AP EAPCET
Mathematics
Quadratic Equations
If \( \csc\theta \) and \( \cot\theta \) are the roots of \( cx^2 + bx + a = 0 \) where \( bc \neq 0 \), then evaluate \( b^2(b^2 - 4ac) \):
AP EAPCET - 2023
AP EAPCET
Mathematics
Trigonometric Identities
The sum of the fourth powers of the roots of the equation \( 16x^2 - 10x + 1 = 0 \) is:
AP EAPCET - 2023
AP EAPCET
Mathematics
Quadratic Equations
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 range of the real valued function \( f(x) = \sqrt{9 - x^2} \) is:
AP EAPCET - 2023
AP EAPCET
Mathematics
Functions
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
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 \( A + 2B = \begin{bmatrix} 1 & 2 & 0 \\ 6 & -3 & 3 \\ -5 & 3 & 1 \end{bmatrix} \) 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
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
Which of the following are fibrous proteins?
Keratin, Insulin, Myosin, Albumin
AP EAPCET - 2023
AP EAPCET
Chemistry
Proteins
Which of the following hormones modulate inflammatory reactions?
AP EAPCET - 2023
AP EAPCET
Chemistry
Hormones
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
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
What are 'X' and 'Y' respectively in the following reaction sequence?
AP EAPCET - 2023
AP EAPCET
Chemistry
Organic Reactions
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
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
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
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
Which of the polymer is used in the controlled release of drug?
AP EAPCET - 2023
AP EAPCET
Chemistry
Polymers
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
AP EAPCET - 2023
AP EAPCET
Chemistry
Isomerism
The formula of nickel oxide is Ni\(_{98}\)O\(_{100}\). What is the approximate percentage of Ni\(^{2+}\) in it?
AP EAPCET - 2023
AP EAPCET
Chemistry
Mole concept and Molar Masses
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