List of top Questions asked in AP EAPCET

If a heat engine and a refrigerator are working between the same two temperatures \(T_1\) and \(T_2\) (\(T_1>T_2\)), then the ratio of efficiency of heat engine to coefficient of performance of refrigerator is
In a $\triangle ABC$, $\frac{2(r_1 + r_3)}{a c (1 + \cos B)} =$
The solution of the differential equation \( x^2 (y + 1) \frac{dy}{dx} + y^2 (x + 1) = 0 \), when \( y(1) = 2 \), is

The logic gate equivalent to the circuit given in the figure is

Consider the following:
Statement-I: Both BeSO$_4$ and MgSO$_4$ are readily soluble in water.
Statement-II: Among the nitrates of alkaline earth metals, only Be(NO$_3$)$_2$ on strong heating gives its oxide, NO$_2$, and O$_2$.
The correct answer is
If A(1,0), B(0,-2), C(2,-1) are three fixed points, then the equation of the locus of a point P such that area of \( \triangle \text{PAB} \) is equal to area of \( \triangle \text{PAC} \) is
If \( \left(\frac{1}{10}, \frac{-1}{5}\right) \) is the inverse point of a point (-1, 2) with respect to the circle \( x^2+y^2-2x+4y+c=0 \) then c =
If the equation of the circle lying in the first quadrant, touching both the coordinate axes and the line \( \frac{x}{3} + \frac{y}{4} = 1 \) is \( (x-c)^2+(y-c)^2=c^2 \), then c =
If \( \alpha, \beta, \gamma \) are the roots of the equation \( x^3 + ax^2 + bx + c = 0 \), then \( (\alpha + \beta - 2\gamma)(\beta + \gamma - 2\alpha)(\gamma + \alpha - 2\beta) = \)
When a wire is connected in the left gap of a metre bridge, the balancing point is at \( 40 \) cm from the left end of the bridge wire. If the wire in the left gap is stretched so that its length is doubled and again connected in the same gap, then the balancing point from the left end of the bridge wire is:
The logic gate equivalent to the circuit shown in the figure is:
The logic gate equivalent
If the values \( x = \alpha, y = \beta, z = \gamma \) satisfy all the 3 equations \(x+2y+3z=4\), \(3x+y+z=3\) and \(x+3y+3z=2\), then \(3\alpha + \gamma = \)
The coefficient of \( x^3 \) in the power series expansion of \( \frac{1+4x-3x^2}{(1+3x)^3} \) is
If \( \frac{ax+5}{(x^2+b)(x+3)} = \frac{x+21}{12(x^2+b)} + \frac{c}{12(x+3)} \), then \( b^2 = \)
If A(1,0), B(0,-2), C(2,-1) are three fixed points, then the equation of the locus of a point P such that area of \( \triangle \text{PAB} \) is equal to area of \( \triangle \text{PAC} \) is
Each nuclear fission of \( {}^{235}\text{U} \) releases 200 MeV of energy. If a reactor generates 1 MW power, then the rate of fission in the reactor is
When three NAND logic gates are connected as shown in the figure, then the logic gate equivalent to the circuit is
three NAND logic gates are connected
The ratio of the orders of the spacings of nuclear energy levels and atomic energy levels is:
The number of distinct quadratic equations $ax^2 + bx + c = 0$ with unequal real roots that can be formed by choosing the coefficients $a, b, c$ (with $a \ne 0$) from the set $\{0,1,2,4\}$ is

In \(\triangle ABC\), if \(A = 30^\circ\) and

\[ \frac{b}{(\sqrt{3}+1)^2 + 2(\sqrt{2} - 1)}, \quad \frac{c}{(\sqrt{3}+1)^2 - 2(\sqrt{2} - 1)}, \]

Then find the angle \(B\).

a, b, c, d are electromagnetic radiations. Frequencies of a, b, c are $3 \times 10^{15$ Hz, respectively, whereas the wavelength of c, d are 400 nm, 750 nm, respectively. The increasing order of their energies is}
For the following given equilibrium reaction, K\(_p\) is equal to 1076 at T(K). What is the value of T (in K)? \[ \text{N}_2(g) + 3\text{H}_2(g) \rightleftharpoons 2\text{NH}_3(g) \] Given that \( R = 0.082 \, \text{L atm K}^{-1} \text{mol}^{-1} \), \( K_p = 1076 \), the equation is: \[ K_p = 1076, \, R = 0.082 \, \text{L atm K}^{-1} \text{mol}^{-1} \]
A rectangular slab consists of two cubes of copper and brass of equal sides having thermal conductivities in the ratio \(4 : 1\). If the free face of brass is at \(0^\circ \text{C}\) and that of copper is at \(100^\circ \text{C}\), then the temperature of their interface is
Identify the wrongly matched one

Match the following

List - A List - B 
A.Mottled leafI.Beets
B.Heart-RotII.Legumes
C.Mouse earIII.Pecan
D.BronzingIV.Cauliflower
  V.Citrus