List of top Questions asked in AP EAPCET

If \( \alpha_1, \alpha_2, \alpha_3 \) are the roots of the equation \( x^3 + 3x + 2 = 0 \), then \( \alpha_1^5 + \alpha_2^5 + \alpha_3^5 \) is:
Find the value of \( (3 + \sqrt{8})^5 + (3 - \sqrt{8})^5 \):
If \( z_1 = 2 + 5i \), \( z_2 = -1 + 4i \) and \( z_3 = i \), then
\[ \frac{|z_1 - z_3|}{|z_3 - z_2|} = ? \]
The locus of the variable point \( z = x + iy \) whose amplitude is always equal to \( \theta \), is:
For \( x \in \mathbb{R} \), the minimum value of \( \frac{x^2 + 2x + 5}{x^2 + 4x + 10} \) is:
If \( f(x) = \frac{\cos^2 x + \sin^4 x}{\sin^2 x + \cos^4 x} \) for \( x \in \mathbb{R} \), then find \( f(2023) \).
The rank of the matrix \( A = \begin{bmatrix} 1 & 1 & 3 \\ 2 & 2 & 1 \\ 1 & 1 & 1 \end{bmatrix} \) is:
If \( f(0) = 0, f(1) = 1, f(2) = 2 \) and \( f(x) = f(x-2) + f(x-3) \) for \( x = 3, 4, 5, \dots \), then find \( f(10) \).
If \( f(x) = \begin{cases} \sqrt{\pi - \cos^{-1} x}, & x = -1 \\ \frac{\sqrt{2(1 + x)}}{\pi + \cos^{-1} x}, & x \neq -1 \end{cases} \) is right continuous at \( x = -1 \), then \( \lambda = \)
Hybridization of positively charged and negatively charged carbons of the following respectively are
Hybridization of positively charged
Catechol and m-cresol respectively are
X and Y (major products) in the following reaction sequence are
X and Y (major products)
The formula of tris (ethane -1,2- diamine) cobalt (III) sulphate is:
X + Y \( \rightarrow \) oleum The sum of oxidation states of central atom in X and Y is
Food preservative sodium benzoate is eliminated from the body as which of the following metabolite?
Identify the condensation polymers from the following
A. PHBV
B. Buna-N
C. Neoprene
D. Nylon-6
E. Glyptal
What is the osmotic pressure (in atm) of 0.02M aqueous glucose solution at 300 K? (R=0.082 L atm mol\(^{-1} \)K\(^{-1} \))
The elevation in the boiling point of aqueous urea solution is 0.104 K. What is its \( \Delta T_f \) (in K) value? (for Water \( K_b = 0.52 \) K kg mol\(^{-1} \), \( K_f = 1.86 \) K kg mol\(^{-1} \))
Which of the following is an example of a multi molecular colloid?
Consider the reactions
I. \( CO + 3H_2 \xrightarrow{A} CH_4 + H_2O \)
II. \( CO + 2H_2 \xrightarrow{B} CH_3OH \)
III. \( O_2 + 2H_2 \xrightarrow{C} 2H_2O \) The catalysts A, B, C are respectively
Among the following the correct statements are
I. LiH, BeH\( _2 \) and MgH\( _2 \) are saline hydrides with significant covalent character
II. Saline hydrides are volatile
III. Electron - precise hydrides are Lewis bases
IV. The formula for chromium hydride is CrH The correct option is
White metal is an alloy of
At a given temperature, the density of an ideal gas is proportional to (P = pressure of ideal gas)
Correct order of basic strength of metallic hydroxides
Which of the following fluorides of Xenon does not exist?