List of top Questions asked in AP EAPCET

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:
If \( \alpha \) is the real root and \( \beta \), \( \gamma \) are the other roots of the equation \( x^3 - a^3 = 0 \, (a>0) \), then the number of common points of the curves given by \( |z - \beta| = \frac{\sqrt{3a}}{2} \) and \( |z - \gamma| = \frac{\sqrt{3a}}{2} \) is:
For \( x \in \mathbb{R} \), the minimum value of \( \frac{x^2 + 2x + 5}{x^2 + 4x + 10} \) 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 \( f(x) = \frac{\cos^2 x + \sin^4 x}{\sin^2 x + \cos^4 x} \) for \( x \in \mathbb{R} \), then find \( f(2023) \).
If \( A = \begin{bmatrix} 1 & 0 & 1 \\ 0 & 1 & 1 \\ 0 & 1 & 0 \end{bmatrix} \), then \( A^{-1} \) = ?
The rank of the matrix \( A = \begin{bmatrix} 1 & 1 & 3 \\ 2 & 2 & 1 \\ 1 & 1 & 1 \end{bmatrix} \) is:
If \( f(x) = \begin{cases} x \left( 1 + \frac{1}{2} \sin(\log x^2) \right), & x \neq 0 \\ 0, & x = 0 \end{cases} \), then \( \lim_{x \to 0} \frac{f(x) - f(0)}{x} \)
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 \( \lambda = \)
If \( f(x) = \begin{cases} x^2, & 0 \le x<1 \\ \sqrt{x}, & 1 \le x \le 2 \end{cases} \), then \( \int_0^2 f(x) dx = \)
Hybridization of positively charged and negatively charged carbons of the following respectively are
Hybridization of positively charged
Which of the following is the geminal dichloride?
Catechol and m-cresol respectively are
What are X and Y respectively in the following reaction? $$ CH_3CH_2CHO + 2Cu^{2+} + 5OH^- \rightarrow X + Y + 3H_2O $$
Which of the following is not correct about Grignard reagent?
X and Y (major products) in the following reaction sequence are
X and Y (major products)
X + Y \( \rightarrow \) oleum The sum of oxidation states of central atom in X and Y is
The formula of tris (ethane -1,2- diamine) cobalt (III) sulphate is:
Identify the condensation polymers from the following
A. PHBV
B. Buna-N
C. Neoprene
D. Nylon-6
E. Glyptal
Food preservative sodium benzoate is eliminated from the body as which of the following metabolite?
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