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AP EAPCET
List of top Questions asked in AP EAPCET
In the given reaction sequence conversion of Y to Z is
AP EAPCET - 2025
AP EAPCET
Chemistry
Organic Chemistry
The preferred reagent for the preparation of pure alkyl chloride from alcohol is
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 (Type of reaction) \hspace{1cm
List-II (Final product)
AP EAPCET - 2025
AP EAPCET
Chemistry
Organic Chemistry
Consider the reaction sequence Dimethyl ketone \( \xrightarrow{\text{(i)CH}_3\text{MgCl (ii)H}_2\text{O}} \) X \( \xrightarrow{\text{(i)Na (ii)CH}_3\text{Br}} \) Y How many sp\(^3\) carbons are present in Y?
AP EAPCET - 2025
AP EAPCET
Chemistry
Organic Chemistry
If four letters are chosen from the letters of the word ASSIGNMENT and are arranged in all possible ways to form 4 letter words (with or without meaning), then total number of such words that can be formed is
AP EAPCET - 2025
AP EAPCET
Mathematics
Binomial theorem
When a wire made of material with Young's modulus Y is subjected to a stress S, the elastic potential energy per unit volume stored in the wire is
AP EAPCET - 2025
AP EAPCET
Physics
Stress and strain
If \( \left(\frac{\sin 3\theta}{\sin \theta}\right)^2 - \left(\frac{\cos 3\theta}{\cos \theta}\right)^2 = a \cos b\theta \), then \( a : b = \)
AP EAPCET - 2025
AP EAPCET
Mathematics
Trigonometric Identities
The differential equation of the family of circles passing through the origin and having centre on X-axis is
AP EAPCET - 2025
AP EAPCET
Mathematics
Differential Equations
If the area of a right angled triangle with hypotenuse 5 is maximum, then its perimeter is
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
The height of ceiling in an auditorium is 30 m. A ball is thrown with a speed of \( 30 \, \text{m s}^{-1} \) from the entrance such that it just moves very near to the ceiling without touching it and then it reaches the ground at the end of the auditorium. Then the length of auditorium is [Acceleration due to gravity \( = 10 \, \text{m s}^{-2} \)]
AP EAPCET - 2025
AP EAPCET
Physics
Rotational motion
A solid sphere of mass 4 kg and radius 28 cm is on an inclined plane. If the acceleration of the sphere when it rolls down without sliding is \( 3.5 \, \text{m s}^{-2} \), then the acceleration of the sphere when it slides down without rolling is
AP EAPCET - 2025
AP EAPCET
Physics
Rotational motion
If \( \beta \) is an angle between the normals drawn to the curve \( x^2+3y^2=9 \) at the points \( (3\cos\theta, \sqrt{3}\sin\theta) \) and \( (-3\sin\theta, \sqrt{3}\cos\theta) \), \( \theta \in \left(0, \frac{\pi}{2}\right) \), then
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
The de Broglie wavelength of an electron in the third Bohr orbit of H-atom is
AP EAPCET - 2025
AP EAPCET
Chemistry
Bohr’s Model for Hydrogen Atom
In \( \text{Fe}_x[\text{Fe}_y(\text{CN})_6]_3 \), x, y respectively, are
AP EAPCET - 2025
AP EAPCET
Chemistry
Nomenclature of Coordination Compounds
If the circles \( x^2+y^2-2\lambda x - 2y - 7 = 0 \) and \( 3(x^2+y^2) - 8x + 29y = 0 \) are orthogonal, then \( \lambda = \)
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
If the point of contact of the circles \( x^2+y^2-6x-4y+9=0 \) and \( x^2+y^2+2x+2y-7=0 \) is \( (\alpha, \beta) \), then \( 7\beta = \)
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
If the perpendicular distance from the focus of a parabola \(y^2=4ax\) to its directrix is \( \frac{3}{2} \), then the equation of the normal drawn at \( (4a, -4a) \) is
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
If the magnitude of a vector \( \vec{p} \) is 25 units and its y-component is 7 units, then its x-component is
AP EAPCET - 2025
AP EAPCET
Physics
Kinematics
Let \( A_1 \) be the area of the given ellipse \( \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \). Let \( A_2 \) be the area of the region bounded by the curve which is the locus of mid point of the line segment joining the focus of the ellipse and a point P on the given ellipse, then \( A_1 : A_2 = \)
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
In a colloidal solution, both the dispersed phase and dispersion medium are in liquid phase. What is the type of colloid?
AP EAPCET - 2025
AP EAPCET
Chemistry
Surface Chemistry
If the vector \( \vec{v} = \vec{i} - 7\vec{j} + 2\vec{k} \) is along the internal bisector of the angle between the vectors \( \vec{a} \) and \( \vec{b} = -2\vec{i} - \vec{j} + 2\vec{k} \) and the unit vector along \( \vec{a} \) is \( \hat{a} = x\vec{i} + y\vec{j} + z\vec{k} \) then \( x = \)
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry and Vectors
If the distance between the foci of a hyperbola H is 26 and distance between its directrices is \( \frac{50}{13} \), then the eccentricity of the conjugate hyperbola of the hyperbola H is
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
The difference between the radii of \(3^{rd}\) and \(2^{nd}\) orbit of H-atom is x pm. The difference between the radii of \(4^{th}\) and \(3^{rd}\) orbit of \( \text{Li}^{2+} \) ion is y pm. \(y:x\) is equal to
AP EAPCET - 2025
AP EAPCET
Chemistry
Periodic Table
If g is the inverse of the function f(x) and \( g(x) = x + \tan x \) then, \( f'(x) = \)
AP EAPCET - 2025
AP EAPCET
Mathematics
Differential Equations
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