List of top Questions asked in AP EAPCET

The number of turning points of the curve $f(x) = 2\cos x - \sin 2x$ in the interval $[-\pi, \pi]$ is
If a force F = (3i - 2j) N acting on a body displaces it from point (1 m, 2 m) to point (2 m, 0 m), then work done by the force is
$\tan\left(\frac{2\pi}{7}\right)\tan\left(\frac{4\pi}{7}\right) + \tan\left(\frac{4\pi}{7}\right)\tan\left(\frac{\pi}{7}\right) + \tan\left(\frac{\pi}{7}\right)\tan\left(\frac{2\pi}{7}\right) =$
A refrigerator of coefficient of performance 5 that extracts heat from the cooling compartment at the rate of 250 J per cycle is placed in a room. The heat released per cycle to the room by the refrigerator is
An aqueous solution containing 0.2 g of a non-volatile solute 'A' in 21.5 g of water freezes at 272.814 K. If the freezing point of water is 273.16 K, the molar mass (in g mol$^{-1}$) of solute A is [K$_f$(H$_2$O) = 1.86 K kg mol$^{-1}$]
Consider the following cell reaction: 2Fe$^{3+}$(aq) + 2I$^-$ (aq) $\rightarrow$ 2Fe$^{2+}$(aq) + I$_2$(s). At 298 K, the cell emf is 0.237 V. The equilibrium constant for the reaction is 10$^x$. The value of x is (F = 96500 C mol$^{-1}$; R = 8.3 J K$^{-1}$ mol$^{-1}$)
The time period of a simple pendulum on the surface of the earth is T. If the pendulum is taken to a height equal to half of the radius of the earth, then its time period is
If the escape velocity of a body from the surface of the earth is 11.2 km/s, then the orbital velocity of a satellite in an orbit which is at a height equal to the radius of the earth is
If the surface area of a spherical bubble is increasing at the rate of 4 sq.cm/sec, then the rate of change in its volume (in cubic cm/sec) when its radius is 8 cms is
$\cos(13^\circ)\sin(17^\circ)\sin(21^\circ)\cos(47^\circ) =$
Observe the following molecules/ions. NH$_4^+$, NH$_3$, BF$_3$, OH$^-$, CH$_3^-$, H$^+$, CO, C$_2$H$_4$. The number of Lewis bases in the above list is
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?
A body starts from rest with uniform acceleration and its velocity at a time of \( n \) seconds is \( v \). The total displacement of the body in the \( n \)-th and \( (n - 1) \)-th seconds of its motion is
If the angle between the pair of lines $2x^2 + 2hxy + 2y^2 - x + y - 1 = 0$ is $\tan^{-1}\left(\frac{3}{4}\right)$ and $h$ is a positive rational number, then the point of intersection of these two lines is
If the vectors $2\mathbf{i} + 4\mathbf{j} - 3\mathbf{k}$, $-\mathbf{i} + 2\mathbf{j} + 3\mathbf{k}$, and $p\mathbf{i} - 2\mathbf{j} + \mathbf{k}$ are coplanar, then the unit vector in the direction of the vector $9p\mathbf{i} - 4\mathbf{j} + 4\mathbf{k}$ is
A($a$, 0) is a fixed point, and $\theta$ is a parameter such that $0<\theta<2\pi$. If P($a \cos \theta$, $a \sin \theta$) is a point on the circle $x^2 + y^2 = a^2$ and Q($b \sin \theta$, $-b \cos \theta$) is a point on the circle $x^2 + y^2 = b^2$, then the locus of the centroid of the triangle APQ is
$L_1 = ax - 3y + 5 = 0$ and $L_2 = 4x - 6y + 8 = 0$ are two parallel lines. If $p, q$ are the intercepts made by $L_1 = 0$ and $m, n$ are the intercepts made by $L_2 = 0$ on the X and Y coordinate axes, respectively, then the equation of the line passing through the points $(p, q)$ and $(m, n)$ is
A maximum current of 0.5 mA can pass through a galvanometer of resistance 15 \(\Omega\). The resistance to be connected in series to the galvanometer to convert it into a voltmeter of range 0–10 V is
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
When 80 J of heat is supplied to a gas at constant pressure, if the work done by the gas is 20 J, then the ratio of the specific heat capacities of the gas is
If the point $P$ denotes the complex number $z = x + iy$ in the Argand plane and $\frac{z - (2 - i)}{z + (1 + 2i)}$ is purely imaginary, then the locus of $P$ is
The radius and the height of a right circular solid cone are measured as 7 feet each. If there is an error of 0.002 ft for every feet in measuring them, then the error in the total surface area of the cone (in sq. ft) is
A basket contains 5 apples and 7 oranges, and another basket contains 4 apples and 8 oranges. If one fruit is picked out at random from each basket, then the probability of getting one apple and one orange is
In compound (X), hyperconjugation is present and in (Y), resonance effect is present. What are X and Y, respectively?
An alcohol X(C$_4$H$_{10}$O) on dehydration gave alkene (C$_4$H$_8$) as major product, which on bromination followed by treatment with Y gave alkyne C$_4$H$_6$. Alkyne C$_4$H$_6$ does not react with sodium metal. What are X and Y?