List of top Questions asked in AP EAMCET

The area of the region under the curve \( y = |\sin x - \cos x| \) in the interval \( 0 \leq x \leq \frac{\pi}{2} \), above the x-axis, is (in square units):
If \[ \int_{1}^{n} f(x) \,dx = 120, \] then \( n \) is:
If \( n \geq 2 \) is a natural number and \( 0<\theta<\frac{\pi}{2} \), then \[ \int \frac{(\cos^n \theta - \cos \theta)^{1/n}}{\cos^{n+1} \theta} \sin \theta \, d\theta = \]
If \[ 729 \int_1^3 \frac{1}{x^3 (x^2 + 9)^2} \, dx = a + \log b, \] then \( a - b = \) ?
If \[ \int \frac{1}{1 - \cos x} \, dx = \tan \left( \frac{x}{4} + \beta \right) + c, \] then one of the values of \( \frac{\pi}{4} - \beta \) is:
Evaluate the integral: \[ \int e^x \left( \frac{x + 2}{(x+4)} \right)^2 dx. \]
If \( x \notin \left[ 2n\pi - \frac{\pi}{4}, 2n\pi + \frac{3\pi}{4} \right] \) and \( n \in \mathbb{Z} \), then \[ \int \sqrt{1 - \sin 2x} \, dx = \]
The number of all the values of \( x \) for which the function \[ f(x) = \sin x + \frac{1 - \tan^2 x}{1 + \tan^2 x} \] attains its maximum value on \( [0, 2\pi] \).
If Rolle’s theorem is applicable for the function \( f(x) \) defined by \( f(x) = x^3 + Px - 12 \) on \( [0,1] \), then the value of \( C \) of the Rolle's theorem is:
If \( f(x) = x^x \), then the interval in which \( f(x) \) decreases is:
The point which lies on the tangent drawn to the curve \( x^4 e^y + 2 \sqrt{y} + 1 = 3 \) at the point \( (1,0) \) is:
Which one of the following is false?
If \( y = \frac{ax + \beta}{\gamma x + \delta} \), then \( 2y_1 y_3 = \) ?
The rate of change of \( x^{\sin x} \) with respect to \( (\sin x)^x \) is:
An organic compound (X) has an empirical formula C\(_4\)H\(_8\)O. This gives a pale yellow precipitate with iodine in NaOH solution. What is X?
Arrange the following in the correct order of their acidic strength: I. \( \text{C}_6 \text{H}_4 (\text{OH}) \) (I) II. \( \text{C}_6 \text{H}_5 (\text{OH}) \) (II) III. \( \text{C}_6 \text{H}_4 (\text{NO}_2)(\text{OH}) \) (III) IV. \( \text{C}_6 \text{H}_4 (\text{NO}_2)(\text{OH}) \) (IV)
What is ‘Y’ in the given reaction sequence?
benzene ring,
Identify B in the given reaction sequence:
phenylacetonitrile
Match the complexes in list-I with their hybridization in list-II.
complexes in list-I with their hybridization
In the Wurtz-Fitting reaction, a compound \(X\) reacts with an alkyl halide. What is \(X\)?
Match the following:
Thermosetting polymer
Which one of the following is NOT a disaccharide?
Which of the following molecules contain sulfur atoms in their structure?
I. Morphine
II. Heroin
III. Penicillin
IV. Terpinenol
V. Cimetidine
Which of the following is NOT an essential amino acid?
The product (C) in the given reaction sequence is:
bromination step with Br2