List of top Questions asked in AP EAMCET

If \( a \) is a common root of \( x^2 - 5x + \lambda = 0 \) and \( x^2 - 8x - 2\lambda = 0 \) (\( \lambda \neq 0 \)) and \( \beta, \gamma \) are the other roots of them, then \( a + \beta + \gamma + \lambda = \):

If \( n \) is an integer and \( Z = \cos \theta + i \sin \theta, \theta \neq (2n + 1)\frac{\pi}{2}, \) then: \[ \frac{1 + Z^{2n}}{1 - Z^{2n}} = ? \]

The square root of \( 7 + 24i \) is:
Imaginary part of \( \frac{(1 - i)^3}{(2 - i)(3 - 2i)} \) is:

Assertion (A): If \( B \) is a \( 3 \times 3 \) matrix and \( |B| = 6 \), then \( | {Adj}(B) | = 36 \). 
Reason (R): If \( B \) is a square matrix of order \( n \), then \( |{Adj}(B)| = |B|^n \).

If

 
and \( AA^T = I \), then \( \frac{a}{b} + \frac{b}{a} = \):

If \( 1 \cdot 3 \cdot 5 + 3 \cdot 5 \cdot 7 + 5 \cdot 7 \cdot 9 + \dots \) (n terms) = \( n(n + 1)f(n) - 3n \), then \( f(1) = \):
The real valued function \( f: \mathbb{R} \to \left[ \frac{5}{2}, \infty \right) \) defined by \( f(x) = \left| 2x + 1 \right| + \left| x - 2 \right| \) is:
The range of the real-valued function \( f(x) = \sin^{-1} \left( \frac{1 + x^2}{2x} \right) + \cos^{-1} \left( \frac{2x}{1 + x^2} \right) \) is:
IUPAC names of the following compounds A and B are: \includegraphics[]{160.png}
What are X and Y respectively in the following reactions? \includegraphics[]{159.png}
Which of the following sets of reagents convert toluene to benzaldehyde? \includegraphics[]{158.png}
An alcohol \( X \) (\( C_4H_{10}O \)) does not give turbidity with conc. HCl and ZnCl\(_2\) at room temperature. \( X \) on reaction with reagent \( Y \) gives \( Z \). What are \( X \), \( Y \), and \( Z \) respectively?
The correctly matched set of the following is:
Given below are two statements: I. Cytosine and guanine are formed in equal quantities in DNA hydrolysis.
II. Adenine and uracil are formed in equal quantities in RNA hydrolysis. The correct answer is:
Hydrolysis of an alkyl bromide X (C\(_4\)H\(_9\)Br) follows first-order kinetics. Reaction of X with Mg in dry ether followed by treatment of D\(_2\)O gave Y. What is Y?
Identify the correctly matched pair from the following:
Identify the correctly matched set from the following:
Cobalt (III) chloride forms a green-colored complex ‘X’ with NH\(_3\). Number of moles of AgCl formed when excess AgNO\(_3\) solution is added to 100 mL of 1M solution of ‘X’ is:
What are Y and Z respectively in the following reaction sequence? \begin{center} \includegraphics[]{155.png} \end{center}
A → P is a zero-order reaction. At 298 K, the rate constant of the reaction is \( 1 \times 10^{-3} \) mol L\(^{-1}\) s\(^{-1}\). Initial concentration of 'A' is 0.1 mol L\(^{-1}\). What is the concentration of 'A' after 10 sec?
Match List - I with List - II: \includegraphics[]{145.png}
Identify the method of preparation of a colloidal sol from the following:
The flux used in the preparation of wrought iron from cast iron in reverberatory furnace is: