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AP EAPCET
List of top Questions asked in AP EAPCET
The number of persons joining a cinema ticket counter in a minute follows a Poisson distribution with parameter 6, then the probability that at least one and at most five persons join the queue in a particular minute is
AP EAPCET - 2023
AP EAPCET
Mathematics
Probability
The materials which can be stretched to cause large strains are called as
AP EAPCET - 2023
AP EAPCET
Physics
Material Science
Evaluate the following expression:
\[ (1+i)^{2024} + (1-i)^{2024} \]
AP EAPCET - 2023
AP EAPCET
Mathematics
Trigonometric Equations
If $ O $ is the origin and $ P, Q $ are points on the line $ 3x + 4y + 15 = 0 $ such that $ OP = OQ = 9 $, then the area of $ \triangle OPQ $ is:
AP EAPCET - 2023
AP EAPCET
Mathematics
Coordinate Geometry
The p-n junction which generates an emf when the solar radiation incidents on it is
AP EAPCET - 2023
AP EAPCET
Physics
Semiconductor electronics: materials, devices and simple circuits
In a transistor circuit, if emitter and collector connections are interchanged then
AP EAPCET - 2023
AP EAPCET
Physics
Transistors
\( \sin^4 \frac{\pi}{8} + \sin^4 \frac{3\pi}{8} + \sin^4 \frac{5\pi}{8} + \sin^4 \frac{7\pi}{8} = \)
AP EAPCET - 2023
AP EAPCET
Mathematics
Trigonometric Identities
The transition of an electron in hydrogen atom that emits a photon whose wavelength lies in the ultraviolet region of the electromagnetic spectrum is
AP EAPCET - 2023
AP EAPCET
Physics
Bohr’s Model for Hydrogen Atom
In \( \Delta ABC \), if \( \angle C = 90^\circ \), then \( \left( \frac{I_1 - I_3}{I_1} \right) \left( \frac{I_2 - I_3}{I_2} \right) = \):
AP EAPCET - 2023
AP EAPCET
Mathematics
Trigonometric Functions
If the equation of the tangent drawn at \((h, k)\) to the hyperbola \(\frac{(x - 1)^2}{1} - \frac{(y - 2)^2}{2} = 1\) is \(x = 2\), then \(h + k =\)
AP EAPCET - 2023
AP EAPCET
Mathematics
Coordinate Geometry
The external work done when air expands from 10 litres to 15 litres at a pressure of 2 atm is:
AP EAPCET - 2023
AP EAPCET
Physics
Thermodynamics
If the tangent drawn to the curve $(x^2+1)(y-3)=x$ at a point P, lying in the first quadrant, is a horizontal line, then the equation of the normal at the point P is
AP EAPCET - 2023
AP EAPCET
Mathematics
Calculus
In a matrix \( A \), if all the sub matrices of \( k^{th} \) order are singular and there is one non-singular sub matrix of order \( r \) \( (r<k) \), then the rank \( (\rho) \) of the matrix \( A \)
AP EAPCET - 2023
AP EAPCET
Mathematics
Matrices
Which of the following statements are true about acceleration due to gravity \( g \)?
A. \( g \) is greater at poles.
B. \( g \) decreases with height.
C. \( g \) is same all over Earth.
D. \( g \) is maximum at centre of Earth.
AP EAPCET - 2023
AP EAPCET
Physics
Gravitation
The number of arrangements of the word KANGAROO in which the A's do not appear together is:
AP EAPCET - 2023
AP EAPCET
Mathematics
permutations and combinations
If a function defined by \( f(x) = \frac{(3^x - 1)^2}{\sin x \cdot \log(1+x)}, x \neq 0 \) is continuous at \(x = 0\), then \(f(0) =\) ?
AP EAPCET - 2023
AP EAPCET
Mathematics
Limit and Continuity
Let \( \vec{b} = 3i - 2j + k \) and \( \vec{c} = i - j - k \) be two vectors. If \( \vec{a} \) is a vector such that \( \vec{a} + \vec{b} + \vec{c} = 0 \), then \( | \vec{a} \times \vec{b} + \vec{b} \times \vec{c} + \vec{c} \times \vec{a} | \) is:
AP EAPCET - 2023
AP EAPCET
Mathematics
Vector Algebra
Observe the following reaction \[ \text{a} \, \text{P}_4(s) + \text{b} \, \text{OH}^-(aq) + \text{H}_2\text{O}(l) \rightarrow \text{c} \, \text{PH}_3(g) + \text{d} \, \text{H}_2\text{PO}_4^-(aq) \]
a, b, c and d are respectively
AP EAPCET - 2023
AP EAPCET
Chemistry
Stoichiometry and Stoichiometric Calculations
In \(\triangle ABC\), if \(\cos A + \cos C = 4 \sin^2 \frac{B}{2}\), then the ratio between the perimeter of the triangle and \((a + c)\) is
AP EAPCET - 2023
AP EAPCET
Mathematics
Trigonometry
If \( f(x) = \int_0^x \frac{5t^8 + 7t^6}{(t^2 + 2t + 1)^2} dt \) and \( f(0) = 0 \), then the value of \( f(1) \) is:
AP EAPCET - 2023
AP EAPCET
Mathematics
Integration
The Cartesian form of the curve given by \( x = \frac{a}{2}\left(t + \frac{1}{t}\right) \), \( y = \frac{a}{2}\left(t - \frac{1}{t}\right) \), where \( t \) is a parameter, is:
AP EAPCET - 2023
AP EAPCET
Mathematics
cartesian products of sets
The time of flight of a vertically projected stone is 8 s. The position of the stone after 6 s from the ground is
AP EAPCET - 2023
AP EAPCET
Physics
Projectile motion
If \( \int f(x)\,dx = \Psi(x) \), then \( \int x^5 f(x^3)\,dx = \):
AP EAPCET - 2023
AP EAPCET
Mathematics
Integration
Given below are two statements
Assertion (A) : Protium and deuterium differ in their rates of reactions
Reason (R) : They have different enthalpies of bond dissociation
The correct answer is
AP EAPCET - 2023
AP EAPCET
Chemistry
Chemical Kinetics
The auto catalyst in the redox reaction involving acidified potassium permanganate and oxalic acid is
AP EAPCET - 2023
AP EAPCET
Chemistry
Chemical Kinetics
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