List of top Questions asked in AP EAPCET

Let 'a' be a non-zero real number. If the equation whose roots are the squares of the roots of the cubic equation \( x^3 - ax^2 + ax - 1 = 0 \) is identical with this cubic equation, then 'a' =
The image of a point \( (2, -1) \) with respect to the line \( x - y + 1 = 0 \) is

The value of the determinant \[ \begin{vmatrix} 2 & 3 & 5 \\ 1 & 0 & 4 \\ 7 & 2 & 1 \end{vmatrix} \] is: 

The number of ways of selecting 3 numbers that are in Arithmetic Progression (A.P.) from the set \(\{1, 2, 3, \ldots, 100\}\) is:
If \( \int \frac{\cos^3 x}{\sin^2 x + \sin^4 x} dx = c - \operatorname{cosec} x - f(x) \), then \( f\left(\frac{\pi}{2}\right) = \)
The general solution of the differential equation \[ \frac{dy}{dx} = \frac{2xy-4x+y-2}{2xy+x-4y-2} \] is:
If \( \left(\frac{2}{3},0\right) \) is the centroid of the triangle formed by the lines \( 4x^2 - y^2 = 0 \) and \( lx + my + n = 0 \), then \( l+m+n= \):
If $ A(0, 1, 2) $, $ B(2, -1, 3) $, and $ C(1, -3, 1) $ are the vertices of a triangle, then the distance between its circumcentre and orthocentre is
If the sum of the roots of the quadratic equation $ x^2 - 5x + k = 0 $ is 5, find the value of $ k $.
Evaluate the integral: \[ \int \left[\frac{1}{\cos x} - \frac{1}{\sin x} - \frac{1}{\sin x + 3\cos x}\right] dx \]
The number of ways of arranging 3 red, 2 white, and 4 blue flowers of different sizes into a garland such that no two blue flowers come together is:
If \( x \ne (2n+1)\frac{\pi{4} \), then the general solution of \( \cos x + \cos 3x = \sin x + \sin 3x \) is}
Equation of the plane passing through the origin and perpendicular to the planes \( x + 2y - z = 1 \) and \( 3x - 4y + z = 5 \) is
The set of all real values of x satisfying the inequation \( \frac{8x^2-14x-9}{3x^2-7x-6}>2 \) is
\( \int_{5\pi}^{25\pi} |\sin 2x + \cos 2x| \ dx = \)
The remainder obtained when \( (2m + 1)^{2n} \), \( m, n \in \mathbb{N} \) is divided by 8 is
\(f(x)\) is a quadratic polynomial satisfying the condition \( f(x) + f\left(\frac{1}{x}\right) = f(x)f\left(\frac{1}{x}\right) \). If \(f(-1)=0\), then the range of \(f\) is
The empirical formula weight of 'Z' in the given reaction sequence is
n-propyl bromide \( \xrightarrow{\text{Na}} \) X \( \xrightarrow{\text{V}_2\text{O}_5, 773 \, \text{K}} \) Y \( \xrightarrow{\text{Cl}_2, \, \text{UV}, 500 \, \text{K}} \) Z
Dry ether, 20 atm
Which of the following statements is not correct for glucose?
What is the equivalent weight of sulphuric acid (H2SO4) in a reaction where it donates 2 H+ ions?
At 298 K, the following reaction takes place for a cell at the hydrogen electrode: \[ H^+(aq) + e^- \longrightarrow \frac{1}{2} H_2 (1 \text{ bar}) \] The solution pH is 10.0. What is the hydrogen electrode potential in volts? (\(\frac{2.303RT}{F} = 0.06\) V)

Consider the following 
Statement-I: Cane sugar is a disaccharide of \(\alpha\)-D-glucose and \(\beta\)-D-fructose
Statement-II: Milk sugar is a disaccharide of \(\alpha\)-D-glucose and \(\beta\)-D-galactose

 

Consider the following equilibrium reaction in gaseous state at T(K): \[ A + 2B \rightleftharpoons 2C + D \] The initial concentration of B is 1.5 times that of A. At equilibrium, the concentrations of A and B are equal. The equilibrium constant for the reaction is:
The difference between the radii of \(3^{rd}\) and \(2^{nd}\) orbit of H-atom is x pm. The difference between the radii of \(4^{th}\) and \(3^{rd}\) orbit of \( \text{Li}^{2+} \) ion is y pm. \(y:x\) is equal to
When the lead storage battery is in use (during discharge) the reaction that occurs at the anode is