List of top Questions asked in AP EAPCET- 2026

The area of the region enclosed between the curve \[ y=\log_e(x+e) \] and the coordinate axes is

If \[ y= \tan^{-1}\!\left(\frac{1}{1+x+x^2}\right) + \tan^{-1}\!\left(\frac{1}{x^2+3x+3}\right) + \tan^{-1}\!\left(\frac{1}{x^2+5x+7}\right), \] then \[ y'(0)= \]

PSQ is a focal chord of the parabola \[ y^2=12x. \] \(A\) and \(B\) are respectively the feet of the perpendiculars drawn from \(P\) and \(Q\) on the directrix of the parabola. If the length of \(AB\) is \(7\sqrt3\) and \[ P=(3t^2,6t), \qquad (0<t<1), \] then \(t=\)

The acute angle between the lines whose direction cosines satisfy \[ l^2-5m^2+n^2=0 \] and \[ l+m-n=0 \] is

If the angular bisectors of the lines \[ 3x-4y-5=0 \] and \[ 8x-6y+1=0 \] are \[ x+y+c=0 \] and \[ x-y+k=0, \] then \[ 7(c+k)= \]

In a binomial distribution \[ P(X=2)\div P(X=23)=\left(\frac{2}{3}\right)^{21}, \] then the mean of the binomial distribution is

In \(\triangle ABC\), if \[ c=9,\qquad s=10,\qquad \Delta=10\sqrt2, \] then \[ \sin\frac{C}{2} = \]

If \(|x|\) is so small that \(x^2\) and higher powers of \(x\) may be neglected, then the approximate value of \[ \left(\frac{3x+64}{3x+8}\right)^{\frac{2}{3}} \] is

Match List-I with List-II and identify the correct combination. center

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Which of the following oxoacid is formed when phosphoric acid is made to react with \(PCl_5\)?

1.0 g of a non-electrolytic and non-volatile solute (X) was dissolved in 20.4 g of water. At 760 mm Hg the freezing point of solution was found to be \(-1.05^\circ C\). The molar mass (in g mol\(^{-1}\)) of the solute is \((K_f(H_2O)=1.86\,K\,kg\,mol^{-1})\)

Atoms of element B form hcp lattice and atoms of element A occupy \(\frac{2}{3}\) of tetrahedral voids. The formula of the compound formed by the elements A and B is

In which of the following boron and boron related substances are not correctly matched with the application shown against it?

The dissociation constants of \(H_2A\) are \[ K_{a1}=6\times10^{-2} \quad \text{and} \quad K_{a2}=6\times10^{-5} \] respectively. At equilibrium, \[ [A^{2-}] = [H_2A] \] What is the approximate concentration of \(H^+\) at equilibrium?

Identify the correct statements from the following:

• Bomb calorimeter is used to determine the heat absorbed by water in a chemical reaction at constant volume

• Heat capacity is an extensive property

• The units of entropy are \(J\,K^{-1}\)
The correct answer is

How many of the following molecules are linear with no lone pairs of electrons on the central atom?
\[ \text{BeCl}_2,\ \text{O}_3,\ \text{SCl}_2,\ \text{XeF}_2,\ \text{SnCl}_2,\ \text{PbCl}_2,\ \text{HgCl}_2 \]

The work function of Mg, Cu, Ag, Li are \(3.7, 4.8, 4.3, 2.5\,\text{eV}\) respectively. A wavelength of \(300\,\text{nm}\) light is shined on them. The metals which undergo photoelectric effect are

A ball has a mass of \(50\,\text{g}\) and a speed of \(50\,\text{m s}^{-1}\). If the speed is measured within an accuracy of \(2\%\), then the uncertainty in its position (in m) is
\[ (h = 6.626 \times 10^{-34}\,\text{J s}, \ \pi = 3.14) \]

A carrier wave of frequency \(2\,MHz\) and peak voltage \(15\,V\) is used to modulate a message signal of frequency \(20\,kHz\) and peak voltage \(8\,V\). The frequencies of side bands produced are

To have dissipative power in an LCR series circuit to be half

The current \(I\) drawn from the \(5\,\text{V}\) source will be: center

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In the arrangement shown, the charge on capacitor \(C_1\) is: center

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The temperature at which the rms speed of hydrogen molecules is equal to that of oxygen molecules at \(47^\circ C\) is

Heat energy released by water of mass \(3\,\text{kg}\) when it is cooled by \(20^\circ C\) is \((\text{specific heat capacity of water}=4200\,\text{J kg}^{-1}\text{K}^{-1})\)