List of top Questions asked in AP EAPCET

Which of the following reactions give phosphine?
i. Reaction of calcium phosphide with water
ii. Heating white phosphorus with concentrated NaOH solution in an inert atmosphere
iii. Heating red phosphorus with alkali

If $ 5 \sinh x - \cosh x = 5 $, then one of the values of $ \tanh x $ is:

The reactions which occur in blast furnace at 500 – 800 K during extraction of iron from haematite are
i. $3Fe_2O_3 + CO \rightarrow 2Fe_3O_4 + CO_2$
ii. $Fe_2O_3 + 3C \rightarrow 2Fe + 3CO$
iii. $FeO + 4CO \rightarrow 3Fe + 4CO_2$
iv. $FeO + CO \rightarrow 2FeO + CO_2$

The number of essential and non-essential amino acids from the following list respectively is Given amino acids: Val, Gly, Leu, Lys, Pro, Ser

If the plane \[ x - y + z + 4 = 0 \] divides the line joining the points \[ P(2,3,-1) \quad \text{and} \quad Q(1,4,-2) \] in the ratio $ l:m $, then $ l + m $ is:

The two reactions involved in the conversion of benzene diazonium chloride to biphenyl are respectively

Which sol is used as an intramuscular injection?

Which of the following is an example for fibre?

The incorrect statement about 'B' is:

The conversion of X to Y is:

If \[ \int \frac{2}{1+\sin x} dx = 2 \log |A(x) - B(x)| + C \] and $ 0 \leq x \leq \frac{\pi}{2} $, then $ B(\pi/4) = $ ?

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:

If the solution of the system of simultaneous linear equations: $$ x + y - z = 6, $$ $$ 3x + 2y - z = 5, $$ $$ 2x - y - 2z + 3 = 0 $$ is $ x = \alpha, y = \beta, z = \gamma $, then \( \alpha + \beta = ?

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) = $:

Evaluate the sum: \[ \frac{1}{3 \cdot 7} + \frac{1}{7 \cdot 11} + \frac{1}{11 \cdot 15} + \dots \text{ up to 50 terms=} \]

Evaluate the integral $$ \int_{0}^{\frac{\pi}{4}} \frac{x^2}{(x \sin x + \cos x)^2} dx. $$

The correct order of bond angles of the molecules $ SiCl_4 $, $ SO_3 $, $ NH_3 $, $ HgCl_2 $ is:

If $ y = \tan(\log x) $, then $ \frac{d^2y}{dx^2} $ is given by:

The angle between the planes $ \vec{r} \cdot (12\hat{i} + 4\hat{j} - 3\hat{k}) = 5 $ and $ \vec{r} \cdot (5\hat{i} + 3\hat{j} + 4\hat{k}) = 7 $ is:

For a first-order reaction, the concentration of reactant was reduced from 0.03 mol L$^{-1}$ to 0.02 mol L$^{-1}$ in 25 min. What is its rate (in mol L$^{-1}$ s$^{-1}$)?

Sum of the positive roots of the equation: \[ \begin{vmatrix} x^2 + 2x + 2 & x + 2 & 1 \\ 2x + 1 & x - 1 & 1 \\ x + 2 & -1 & 1 \end{vmatrix} = is \; 0. \]

Let $ a>1 $ and $ 0<b<1 $. -∞$ f : \mathbb{R} \to [0, 1] $ is defined by $ f(x) = \begin{cases} a^x & \text{if } x<0 b^x & \text{if } 0 \leq x \leq 1 \end{cases} $, then $ f(x) $ is:

Let $ f(x) = 3 + 2x $ and $ g_n(x) = (f \circ f \circ \dots \text{n times}) (x) $. If for all $ n \in \mathbb{N} $, the lines $ y = g_n(x) $ pass through a fixed point $ (a, \beta) $, then $ \alpha + \beta = ? $

If the sum of two roots of $ x^3 + px^2 + qx - 5 = 0 $ is equal to its third root, then $ p(q^2 - 4q) = $ ?

If $ 2x^2 + 3x - 2 = 0 $ and $ 3x^2 + \alpha x - 2 = 0 $ have one common root, then the sum of all possible values of $ \alpha $ is: