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AP EAPCET
List of top Questions asked in AP EAPCET
If \[ 2x^2 + 3xy - 2y^2 - 5x + 2fy - 3 = 0 \] represents a pair of straight lines, then one of the possible values of \(f\) is?
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
IUPAC names of the given compounds (I) and (II) are respectively
AP EAPCET - 2025
AP EAPCET
Chemistry
Organic Chemistry
Identify the most stable carbocation from the following
AP EAPCET - 2025
AP EAPCET
Chemistry
Organic Chemistry
What are the major products X and Y respectively in the following set of reactions?
AP EAPCET - 2025
AP EAPCET
Chemistry
Organic Chemistry
Which of the following will undergo methylation with CH₃Cl / anhyd. AlCl₃?
AP EAPCET - 2025
AP EAPCET
Chemistry
Organic Chemistry
What are X and Y respectively in the following set of reactions?
AP EAPCET - 2025
AP EAPCET
Chemistry
Organic Chemistry
Match the following:
List-I (Compound)
List-II (pKa)
A) p-Nitrophenol
I) 15.9
B) Phenol
II) 7.1
C) Ethanol
III) 10.0
D) p-Cresol
IV) 10.2
AP EAPCET - 2025
AP EAPCET
Chemistry
Organic Chemistry
The structures of succinic acid (X) and malonic acid (Y), respectively, are:
AP EAPCET - 2025
AP EAPCET
Chemistry
Organic Chemistry
Lines \(L_1\) and \(L_2\) have slopes 2 and \(-\frac{1}{2}\) respectively. If both \(L_1\) and \(L_2\) are concurrent with the lines \(x - y + 2 = 0\) and \(2x + y + 3 = 0\), then the sum of the absolute values of the intercepts made by the lines \(L_1\) and \(L_2\) on the coordinate axes is?
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
If 5.6 liters of a monoatomic gas at STP is adiabatically compressed to 0.7 liters, then the work done on the gas is nearly
AP EAPCET - 2025
AP EAPCET
Physics
Thermodynamics
A circle passing through origin cuts the coordinate axes at \(A\) and \(B\). If the straight line \(AB\) passes through a fixed point \((x_1,y_1)\), then the locus of the centre of the circle is?
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
The angle made by a line \(L\) with positive X-axis measured in the positive direction is \(\frac{\pi}{6}\) and the intercept made by \(L\) on Y-axis is negative. If \(L\) is at a distance 5 units from the origin, then the perpendicular distance from the point \(\left(1,-\sqrt{3}\right)\) to the line \(L\) is?
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
Which of the following property is less for D₂O than H₂O?
AP EAPCET - 2025
AP EAPCET
Chemistry
Acids and Bases
If the values of $x, y,$ and $z$ satisfy the equations \[ 2x - 3y + 2z + 15 = 0,
3x + y - z + 2 = 0,
x - 3y - 3z + 8 = 0 \] simultaneously are $\alpha, \beta,$ and $\gamma$ respectively, then
AP EAPCET - 2025
AP EAPCET
Mathematics
Complex numbers
The number of electrons with magnetic quantum number $m = 0$ in the elements with atomic numbers $Z = 24$ and $Z = 29$ are respectively
AP EAPCET - 2025
AP EAPCET
Chemistry
Bohr’s Model for Hydrogen Atom
If \((\alpha, \beta)\) is the external centre of similitude of the circles \[ x^2 + y^2 = 3 \] and \[ x^2 + y^2 - 2x + 4y + 4 = 0, \] then find \(\frac{\beta}{\alpha}\).
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
If A and B are the values such that $(A + B)$ and $(A - B)$ are not odd multiples of $\frac{\pi}{2}$ and $2\tan(A+B) = 3 \tan(A-B)$, then $\sin A \cos A =$
AP EAPCET - 2025
AP EAPCET
Mathematics
Trigonometric Identities
Identify the ion (hydrated in solution) which is not correctly matched with its spin only magnetic moment (in BM) given in brackets:
AP EAPCET - 2025
AP EAPCET
Chemistry
Nomenclature of Coordination Compounds
The elastic potential energy stored in a copper rod of length one meter and area of cross-section \(1 \, \text{mm}^2\) when stretched by 1 mm is:
AP EAPCET - 2025
AP EAPCET
Physics
Stress and strain
The magnetic field at the center of a long solenoid having 400 turns per unit length and carrying a current $I = 6.24 \times 10^{-7
$ A is}
AP EAPCET - 2025
AP EAPCET
Physics
Magnetism and matter
If \[ \frac{2x^4 - 3x^2 + 4}{(x^2 + 1)(x^2 + 2)} = a + \frac{px + q}{x^2 + 1} + \frac{mx + n}{x^2 + 2}, \] then $\frac{n}{q} =$
AP EAPCET - 2025
AP EAPCET
Mathematics
Trigonometric Identities
The readings of the voltmeter and ammeter in the circuit shown in the diagram are respectively
AP EAPCET - 2025
AP EAPCET
Physics
Power in Electric Circuits
If a proton of kinetic energy 8.35 MeV enters a uniform magnetic field of 10 T at right angles to the direction of the field, then the force acting on the proton is
AP EAPCET - 2025
AP EAPCET
Physics
Magnetism and matter
Match the following:
List-I (Sol)
List-II (Method of preparation)
A) \( \text{As}_2\text{S}_3 \)
I) Bredig's arc method
B) \( \text{Au} \)
II) Oxidation
C) \( \text{S} \)
III) Hydrolysis
D) \( \text{Fe(OH)}_3 \)
IV) Double decomposition
AP EAPCET - 2025
AP EAPCET
Chemistry
Surface Chemistry
When current in a coil changes from 2 A to 5 A in a time of 0.3 s, if the emf induced in the coil is 40 mV, then the self-inductance of the coil is
AP EAPCET - 2025
AP EAPCET
Physics
Electromagnetic induction
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