List of top Questions asked in AP EAMCET

If $ O(0, 0, 0), A(3, 0, 0), B(0, 4, 0) $ form a triangle then the incenter of triangle OAB is:

Observe the following reactions. Identify the reaction in which the hybridisation of the underlined atom is changed:

If $ \bar{a} = -4\bar{i} + 2\bar{j} + 4\bar{k} $, $ \bar{b} = \sqrt{2} \bar{i} - \sqrt{2} \bar{j} $ are two vectors, then the angle between the vectors $ 2\bar{a} $ and $ \frac{\bar{b}}{2} $ is:

An information signal of frequency 10 kHz is modulated with a carrier wave of frequency 3.61 MHz. The upper side and lower side frequencies are:

The oxygen gas of 5 moles is heated at constant pressure from 300 K to 320 K. The amount of energy spent during this expansion is
(For oxygen $ C_p = 7 \, {Cal/mol} \cdot \degree C $, $ C_v = 5 \, {Cal/mol} \cdot \degree C $)

Bag A contains 3 white and 4 red balls, bag B contains 4 white and 5 red balls, and bag C contains 5 white and 6 red balls. If one ball is drawn at random from each of these three bags, then the probability of getting one white and two red balls is:

If the distance between the planes $ 2x + y + z + 1 = 0 $ and $ 2x + y + z + \alpha = 0 $ is 3 units, then the product of all possible values of $ \alpha $ is:

Observe the following amino acids:

Which of the following sequence of reagents converts 3-hexene to propane?

Which of the following hormones is responsible for preparing the uterus for implantation of a fertilized egg?

The correct order of oxidizing power of the given ions is Given: $ E^{\circ}_{\text{Mg}^{2+}/\text{Mg}} = -2.36 \, \text{V} $ and $ E^{\circ}_{\text{Cl}_2/\text{Cl}^-} = +1.36 \, \text{V}$

Assertion (A): Carboxylic acids are more acidic than phenols.
Reason (R): Resonance structures of carboxylate ion are equivalent, while resonance structures of phenoxide ion are not equivalent.

At $ T(K) $, the solubility product of $ AX $ is $ 10^{-10} $. What is the molar solubility of $ AX $ in 0.1 M HX solution?

If the vectors $ a\hat{i} + \hat{j} + 3\hat{k} $, $ 4\hat{i} + 5\hat{j} + \hat{k} $, and $ 4\hat{i} + 2\hat{j} + 6\hat{k} $ are coplanar, then $ a $ is:

If $a^2 x^4 + b^2 y^4 = c^6$, then the maximum value of $xy$ is:

A car is moving on a horizontal curved road of radius 50 m. If the friction coefficient between tyres and road is 0.34, the approximate maximum speed of the car will be nearly:

If $ P = (0,1,2) $, $ Q = (4,-2,-1) $ and $ O = (0,0,0) $, then $ \angle POQ $ is:

Evaluate the integral \[ \int \sum_{r=0}^{\infty} \frac{x^r 3^r}{2r} dx. \]

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 number of ions present in tris(ethane-1,2-diamine)cobalt(III) sulphate is:

A box contains 20 percent defective bulbs. Five bulbs are randomly chosen. Find the probability that exactly 3 are defective.

If $ x - 4 = 0 $ is the radical axis of two orthogonal circles out of which one is $ x^2 + y^2 = 36 $, then the centre of the other circle is:

Evaluate the integral: \[ \int e^x \left( \frac{x + 2}{(x+4)} \right)^2 dx. \]

The number of 5-digit odd numbers greater than 40,000 that can be formed by using 3, 4, 5, 6, 7, 0 such that at least one of its digits must be repeated is:

The equation of the pair of asymptotes of the hyperbola $ 4x^2 - 9y^2 - 24x - 36y - 36 = 0 $ is: