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AP EAPCET
List of top Questions asked in AP EAPCET
What are the major products X and Y respectively in the following set of reactions?
AP EAPCET - 2025
AP EAPCET
Chemistry
Organic Chemistry
Out of 8 students in a classroom, 4 of them are chosen and they are arranged around a table. If the remaining 4 are arranged in a row, then the total number of arrangements that can be made with those 8 students is
AP EAPCET - 2025
AP EAPCET
Mathematics
Binomial Expansion
P and Q are the ends of a diameter of the circle \( x^2+y^2=a^2(a>\frac{1}{\sqrt{2}}) \). \( s \) and \( t \) are the lengths of the perpendiculars drawn from P and Q onto the line \( x+y=1 \) respectively. When the product \( st \) is maximum, the greater value among \( s, t \) is:
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
If the angular momenta of electrons in two orbits of hydrogen atom are \( \frac{h}{\pi} \) and \( \frac{1.5h}{\pi} \), then the ratio of velocities of electrons in these two orbits is
(h – Planck’s constant)
AP EAPCET - 2025
AP EAPCET
Physics
Modern Physics
If the maximum velocity and maximum acceleration of a particle executing simple harmonic motion are respectively \( 5 \, \text{m s}^{-1} \) and \( 10 \, \text{m s}^{-2} \), then the time period of oscillation of the particle is
AP EAPCET - 2025
AP EAPCET
Physics
Simple Harmonic Motion
The energy stored in a capacitor is $W$. To double the charge on the plates of the capacitor, the additional work to be done is
AP EAPCET - 2025
AP EAPCET
Physics
Electrostatics
Angle between a diagonal of a cube and a diagonal of its face which are coterminus is
AP EAPCET - 2025
AP EAPCET
Mathematics
Coordinate Geometry
If \(y = \sqrt{\cosh x + \sqrt{\cosh x}}\), then \(\frac{dy}{dx} =\)
AP EAPCET - 2025
AP EAPCET
Mathematics
Differentiation
The number of ways of arranging all the letters of the word PERFECTION such that there must be exactly two consonants between any two vowels is:
AP EAPCET - 2025
AP EAPCET
Mathematics
Binomial theorem
The circles $$ x^2 + y^2 - 2x - 4y - 4 = 0 $$ and $$ x^2 + y^2 + 2x + 4y - 11 = 0 $$ ...
AP EAPCET - 2025
AP EAPCET
Mathematics
Circle
If a wheel with 24 metallic spokes each \( 40 \) cm long is rotated with a speed of \( 180 \) rev/min in a plane normal to the horizontal component of Earth's magnetic field, the emf induced between the axle and the rim of the wheel is \( E \). If the number of spokes is made \( 12 \) and the wheel is rotated with a speed of \( 90 \) rev/min in the same field, the induced emf is:
AP EAPCET - 2025
AP EAPCET
Physics
Electromagnetic induction
If the equation of the plane passing through the point (2, -1, 3) and perpendicular to each of the planes $3x - 2y + z = 8$ and $x + y + z = 6$ is $lx + my + nz = 1$, then $4m + 2n - 3l$ =
Identify the correct option from the following:
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
At T(K), the vapor pressure of x molal aqueous solution containing a non-volatile solute is 12.078 kPa. The vapor pressure of pure water at T(K) is 12.3 kPa. What is the value of x?
AP EAPCET - 2025
AP EAPCET
Chemistry
Colligative Properties
The mean of 10 numbers is 18. If one number is excluded, the mean becomes 17. What is the excluded number?
AP EAPCET - 2025
AP EAPCET
Mathematics
Statistics
In \(\triangle ABC\), the sum of the lengths of two sides is \(x\) and the product of those lengths is \(y\). If \(c\) is the length of its third side and \(x^2 - c^2 = y\), then the circumradius of that triangle is:
AP EAPCET - 2025
AP EAPCET
Mathematics
Trigonometric Identities
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
At \( 27^\circ C \) kinetic energy of 4 g of \( H_2 \) is \( x \) J. What is the kinetic energy (in J) of 6.4 g of oxygen at \( 127^\circ C \)?
AP EAPCET - 2025
AP EAPCET
Chemistry
The Valence Shell Electron Pair Repulsion (VSEPR) Theory
The equation of chord AB of ellipse \(2x^2 + y^2 = 1\) is \(x - y + 1 = 0\). If O is the origin, then \(\angle AOB =\)
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
The variance of the ungrouped data \(2, 12, 3, 11, 5, 10, 6, 7\) is:
AP EAPCET - 2025
AP EAPCET
Mathematics
Statistics
The displacement \(S\) of a particle measured from a fixed point \(O\) on a line is given by \[ S = t^3 - 16t^2 + 64t - 16. \] Then the time at which the displacement of the particle is maximum is
AP EAPCET - 2025
AP EAPCET
Mathematics
Coordinate Geometry
Two blocks A and B of masses 2 kg and 4 kg respectively are kept on a rough horizontal surface. If same force of 20 N is applied on each block, then the ratio of the accelerations of the blocks A and B is (Coefficient of kinetic friction between the surface and the blocks is 0.3 and acceleration due to gravity = \(10 \operatorname{ms}^{-2}\))
AP EAPCET - 2025
AP EAPCET
Physics
Newtons Laws of Motion
Tangents are drawn at three points P($t_1$), Q($t_2$), R($t_3$) on the parabola $y^2 = x$. Let these tangents intersect each other at the points L, M, N. If $t_1 = 2$, $t_2 = -4$, $t_3 = 6$, then the area of the triangle LMN is
AP EAPCET - 2025
AP EAPCET
Mathematics
Coordinate Geometry
If $x = 3 - 2\sqrt{3}i$, then evaluate $x^4 - 12x^3 + 54x^2 - 108x - 54 = $
AP EAPCET - 2025
AP EAPCET
Mathematics
Complex numbers
The number of ways of forming the ordered pairs (p, q) such that p>q by choosing p and q from the first 50 natural numbers is:
AP EAPCET - 2025
AP EAPCET
Mathematics
permutations and combinations
A molecule ‘X’ has square pyramidal geometry, as per VSEPR theory. The number of bond pairs and lone pairs of electrons present in the valence shell of central atom of X, respectively, are
AP EAPCET - 2025
AP EAPCET
Chemistry
Chemical bonding and molecular structure
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