List of top Questions asked in AP EAMCET

$ x $ g of an organic compound was analysed by Kjeldahl’s method for the estimation of nitrogen. The ammonia gas evolved from the compound was passed into 100 mL of 0.2 M H$_2$SO$_4$. The excess of acid required 40 mL of 0.5 M NaOH solution for complete neutralisation. What is $ x $ when the percentage of nitrogen in it is 46%?

If $(\alpha + \beta)$ is not a multiple of $\frac{\pi}{2}$ and $3 \sin(\alpha - \beta) = 5 \cos(\alpha + \beta)$, then \[ \tan\left(\frac{\pi}{4} + \alpha\right) + 4\tan\left(\frac{\pi}{4} + \beta\right) = \]

What is Y in the following reaction sequence?

Arrange the following in the increasing order of number of unpaired electrons present in the central metal ion:
I. $[MnCl_6]^{4-}$
II. $[FeF_6]^{3-}$
III. $[Mn(CN)_6]^{3-}$
IV. $[Fe(CN)_6]^{3-}$

If $[x]$ is the greatest integer function, then evaluate the integral $ \int_{0}^{5} [x] \, dx $:

If $ L_1 $ and $ L_2 $ are two lines which pass through origin and have direction ratios $ (3, 1, -5) $ and $ (2, 3, -1) $ respectively, then the equation of the plane containing $ L_1 $ and $ L_2 $ is:

The largest among the distances from the point $P(15,9)$ to the points on the circle $x^2 + y^2 - 6x - 8y - 11 = 0$ is:

If $ \vec{f} = i + j + k $ and $ \vec{g} = 2i - j + 3k $, then the projection vector of $ \vec{f} $ on $ \vec{g} $ is:

Let $ \mathbf{a} = 3\hat{i} + 4\hat{j} - 5\hat{k} $, $ \mathbf{b} = 2\hat{i} + \hat{j} - 2\hat{k} $. The projection of the sum of the vectors $ \mathbf{a}, \mathbf{b} $ on the vector perpendicular to the plane of $ \mathbf{a}, \mathbf{b} $ is:

In $\triangle ABC$, if $4r_1 = 5r_2 = 6r_3$, then $\sin^2 \frac{A}{2} + \sin^2 \frac{B}{2} + \sin^2 \frac{C}{2} =$

The values of $ x $ for which the angle between the vectors \[ \mathbf{a} = x\hat{i} + 2\hat{j} + \hat{k}, \quad \mathbf{b} = -\hat{i} + 2\hat{j} + x\hat{k} \] is obtuse lie in the interval:

The length of the latus rectum of $ 16x^2 + 25y^2 = 400 $ is:

Two objects of masses 2 kg and 5 kg possess velocities $ 10 \hat{i} \, {m/s} $ and $ 3 \hat{i} + 5 \hat{j} \, {m/s} $ respectively. Then the velocity of C.M. in m/s is:

Match the following

Number of chromosomes in maize root cells at G1 phase, after S and M phases respectively

If the coefficients of the $ (2r + 6)^{th $ and $ (r - 1)^{th} $ terms in the expansion of $ (1 + x)^{21} $ are equal, then the value of $ r $ is:}

The number of different ways of preparing a garland using 6 distinct white roses and 6 distinct red roses such that no two red roses come together is:

The orthogonal projection vector of $ \bar{a} = 2\bar{i} + 3\bar{j} + 3\bar{k} $ on $ \bar{b} = \bar{i} - 2\bar{j} + \bar{k} $ is:

For a dataset, if the coefficient of variation is 25 and the mean is 44, find the variance.

Let $ \mathbf{a}, \mathbf{b} $ be two unit vectors. If $ \mathbf{c} = \mathbf{a} + 2\mathbf{b} $ and $ \mathbf{d} = 5\mathbf{a} - 4\mathbf{b} $ are perpendicular to each other, find the angle between $ \mathbf{a} $ and $ \mathbf{b} $.

If the vectors $a\bar{i} + \bar{j} + \bar{k}$, $\bar{i} + b\bar{j} + \bar{k}$, $\bar{i} + \bar{j} + c\bar{k}$ ($a \ne b \ne c \ne 1$) are coplanar, then $\frac{1}{1 - a} + \frac{1}{1 - b} + \frac{1}{1 - c} =$

The general solution of $ \cot \frac{x}{2} - \cot x = \csc \frac{x}{2} $ is:

At 300 K, 6 g of urea was dissolved in 500 mL of water. What is the osmotic pressure (in atm) of the resultant solution? (R = 0.082 L atm K$^{-1}$ mol$^{-1}$) (C=12;N=14;O=16;H=1)

An electron is moving with a velocity $ (2\hat{i} + 3\hat{j}) $ m/s in an electric field $ (3\hat{i} + 6\hat{j} + 2\hat{k}) $ V/m and a magnetic field $ (2\hat{j} + 3\hat{k}) $ T. The magnitude and direction (with x-axis) of the Lorentz force acting on the electron is

If $ \mathbf{f}, \mathbf{g}, \mathbf{h} $ are mutually orthogonal vectors of equal magnitudes, then find the angle between the vectors $ \mathbf{f} + \mathbf{g} + \mathbf{h} $ and $ \mathbf{h} $.