List of top Questions asked in AP EAPCET- 2026

If the pole of the line \[ 2x+3y-20=0 \] with respect to the circle \[ x^2+y^2-4x+6y-12=0 \] is \((\alpha,\beta)\), then the number of tangents that can be drawn from \((\alpha,\beta)\) to the given circle is:

The equation of the normal to the parabola \[ y^2=12x \] at the point \((3\lambda^2,6\lambda)\) is

In a sample space, \(E\) is an event associated with the events \(A\) and \(B\). If \[ P(A|E)=l \] and \[ P(E|B)=m, \] then \(P(B|E)\) is

If \[ X\sim B\!\left(n,\frac14\right), \] \[ P(X=2)=P(X=3) \] and \[ \sum_{k=0}^{2}P(X=k)=\frac{39}{411}, \] then \(n=\)

The variance of the following frequency distribution is

If \[ |\vec a|=2k, \qquad |\vec b|=k \] and \[ |\vec a-\vec b|^2=20k^2-|2\vec a+\vec b|^2, \] then \[ |\vec a\times\vec b| = \ ? \]

Let \(\vec a,\vec b\) be two non-collinear vectors. If \[ \vec r=(x+2y-3)\vec a+(2x-y+1)\vec b \] and \[ \vec R=(3x-y-2)\vec a+(x+3y+2)\vec b \] are vectors such that \[ 2\vec r=m\vec R, \] then \(x+5y=\)

The distance between the points \[ (1,2) \quad \text{and} \quad (4,6) \] is:

The number of integers that satisfy both the inequalities \[ x^2-2x+8>0 \] and \[ x^2-3x+2\le 0 \] is:

\( I_1 \) represents moment of inertia of a thin, uniform rod about an axis perpendicular to its length and passing through its centre of mass. The same rod is bent into the shape of a ring. If \( I_2 \) is moment of inertia of ring about an axis that is tangent to the ring and perpendicular to its plane, then \(\frac{I_1}{I_2}=\):

A particle is moving in a circular path with constant angular velocity. Its initial angular momentum is L. If the radius of the circle is tripled by keeping angular velocity same, the new angular momentum is:

A body of mass 1 kg is attached to one end of a string of 1 m length. It is rotated in a vertical circle with a constant speed of \( 4 \text{ ms}^{-1} \). When the object is at the highest point of the vertical circle, tension in the string is (\( g=10 \text{ ms}^{-2} \)):

A person lifts 60 kg load to a vertical height of 30 m over a duration of 20 seconds. If the power of the man is 1323 W, the mass of the man is:

A body of mass 2 kg is thrown vertically upwards from the ground level with kinetic energy of 240 J. The kinetic energy of the body will become half at a height of (\( g=10 \text{ ms}^{-2} \)):

Ethanal \(\xrightarrow{i. (CH_3)_2CHMgBr,\ ii.\ H_2O}\) X;
Propanone \(\xrightarrow{i.\ C_2H_5MgBr,\ ii.\ H_2O}\) Y.
Consider statements: I. Ease of dehydration \(Y>X\); II. Acidic character \(X>Y\); III. Reactivity towards Lucas reagent \(X>Y\). I. Ease of dehydration is Y > X
II. Acidic character is X > Y
III. Reactivity towards Lucas reagent is X > Y

What are X and Y respectively in the following set of reactions? (R--Br + \(CH_{3}CH_{2}O^-\) \(\rightarrow\) X; R--Br + \((CH_{3})_{3}CO^-\) \(\rightarrow\) Y)

In which of the following given sets, complexes are correctly arranged in the increasing order of their spin only magnetic moment values? align* I. & [Fe(CN)_6]^4- < [Fe(CN)_6]^3- < [Fe(H_2O)_6]^3+
II. & [Co(NH_3)_6]^3+ < [Ni(H_2O)_6]^2+ < [Cr(H_2O)_6]^3+
III. & [V(H_2O)_6]^3+ < [Cr(CN)_6]^3- < [Fe(H_2O)_6]^2+ align*

Which of the following are the correct statements about D-glucose? flalign* I. & It forms oxime with hydroxyl amine &
II. & It forms addition product with NaHSO_3 &
III. & It forms cyanohydrin with HCN &
IV. & It forms saccharic acid with bromine water & flalign*

Which of the following is most effective towards coagulation of CdS sol?

What mass (in g) of glycerol is required to produce the same anti-freezing effect in 1.0 L of water as that of 20 g of NaCl in 1.0 L of water? (molar mass of glycerol = 92 g mol\(^{-1}\), assume NaCl is 97% dissociated)

The structure of \(Al_{2}Cl_{6}\) is given below. The correct order of bond angles X, Y and Z is

In which of the following sets, molecules are correctly arranged in the decreasing order of covalent character? I. \( \text{AlCl}_{3} > \text{MgCl}_{2} > \text{NaCl} \) II. \( \text{BeCl}_{2} > \text{MgCl}_{2} > \text{CaCl}_{2} \) III. \( \text{CaI}_{2} > \text{CaBr}_{2} > \text{CaCl}_{2} \)

Wavelength of a particular line in Balmer series of atomic spectrum of hydrogen is 656.4 nm. What is the wavelength (in nm) of corresponding line in the spectrum of $He^{+1}$?

Sodium and Copper have work functions 2.3 eV and 4.5 eV respectively. Then the ratio of their threshold wavelengths is nearly:

An ac source has a peak voltage \( \frac{200}{\sqrt{2}} \) V and frequency 50 Hz. The value of voltage after \( \frac{1}{600} \) s from the start is: