List of top Questions asked in AP EAPCET

The general solution of the differential equation \((1 + \sin^2 x) \, \frac{dy}{dx} + \sin 2x = 0\) is?

The number of extensive and intensive properties in the list given below is respectively: % List - Density, enthalpy, mass, temperature, volume, pressure

If the direction ratios of two lines \(L_1\) and \(L_2\) are \((1,-2,2)\) and \((-2,3,-6)\) respectively, then the direction ratios of the line which is perpendicular to both \(L_1\) and \(L_2\) are?

If the equation of the circle having the common chord to the circles $$ x^2 + y^2 + x - 3y - 10 = 0 $$ and $$ x^2 + y^2 + 2x - y - 20 = 0 $$ as its diameter is $$ x^2 + y^2 + \alpha x + \beta y + \gamma = 0, $$ then find $ \alpha + 2\beta + \gamma $.

Find the general solution of the differential equation: $$ x \log x \, dy = (x \log x - y) dx $$

If $$ y = A t^2 + \frac{B}{t} \quad (A, B \text{ constants}) $$ is a general solution of the differential equation $$ f(t) y'' + g(t) y' + h(t) y = 0, $$ then find the relation between $ g(t), f(t), h(t) $.

Find the general solution of: $$ (2x - y)^2 dy - 2(2x - y)^2 dx - 2 dx = 0 $$

Among the ions Mg$^{2+}$, O$^{2-}$, Al$^{3+}$, F$^{-}$, Na$^{+}$, and N$^{3-}$, the ion with the largest size and the ion with the smallest size are respectively

In a solenoid, if the current of 15 A passes through the solenoid of length 25 cm, radius 2 cm, and number of turns 500, then the magnetic moment of the solenoid is

Which one of the following gases is the major contributor to global warming?

By taking $ \sqrt{a \pm ib} = x + iy, x>0 $, if we get $$ \frac{\sqrt{21} + 12\sqrt{2}i}{\sqrt{21} - 12\sqrt{2}i} = a + ib, $$ then $ \frac{b}{a} = $ ?

Identify the incorrect statement regarding the interstitial compounds.

Which of the following exhibit ionization isomerism?
I) [Cr(NH$_3$)$_4$Cl$_2$]Cl
II) [Ti(H$_2$O)$_5$Cl]Cl(NO$_3$)$_2$
III) [Pt(en)(NH$_3$)$_4$]Cl(NO$_3$)
IV) [Co(NH$_3$)$_4$(NO$_3$)$_2$]NO$_3$

If the breaking strength of a rope is $\frac{4}{3}$ times the weight of a person, then the maximum acceleration with which the person can safely climb up the rope is (g - acceleration due to gravity)

A ball projected vertically upwards with velocity 'v' passes through a point P in its upward journey in a time of 'x' seconds. Then, the time in which the ball again passes through the same point P is

The sum of the bond orders of O$_2^+$, O$_2^-$, O$_2$, O$_2^{2-$, and the sum of the unpaired electrons in them respectively are

If $$ y = (\log_x \sin x)^x, $$ then find $$ \frac{dy}{dx}. $$

If the tangent of the curve $$ 4y^3 = 3ax^2 + x^3 $$ drawn at the point $ (a, a) $ forms a triangle of area $\frac{25}{24}$ sq. units with the coordinate axes, then find $ a $.

If the inverse of $$ \begin{bmatrix} -x & 14x & 7x \\ 0 & 1 & 0 \\ x & -4x & -2x \end{bmatrix} $$ is $$ \begin{bmatrix} 2 & 0 & 7 \\ 0 & 1 & 0 \\ 1 & -2 & 1 \end{bmatrix} $$ then the value of $$ \begin{vmatrix} x & x+1 & x+2 \\ x+1 & x+2 & x+3 \\ x+2 & x+3 & x+4 \end{vmatrix} $$