List of top Questions asked in AP EAPCET- 2023

If \( A = \frac{\pi}{24} \), then \[ \frac{\cos A + \cos 3A + \cos 5A + \cos 7A}{\sin A + \sin 3A + \sin 5A + \sin 7A} \]

If \[ \frac{x + 2}{x^2 - 3} \text{ is one of the partial fractions of } \frac{3x^3 - x^2 - 2x + 17}{x^4 + x^2 - 12}, \text{ then the other partial fraction of it is:} \]

Assertion (A): The difference of the slopes of the lines represented by \( y^2 - 2xy \sec^2 \alpha + (3 + \tan^2 \alpha) \left( 1 + \tan^2 \alpha \right) \cos^2 \theta = 0 \) is 4. Reason (R): The difference of the slopes represented by \( ax^2 + 2hxy + by^2 = 0 \) is \( \frac{2\sqrt{h^2 - ab}}{|b|} \).

Let \( (1, 2) \) be the focus and \( x + y + 1 = 0 \) be the directrix of a hyperbola. If \( \sqrt{3} \) is the eccentricity of the hyperbola, then its equation is:

6 g of urea (molar mass = 60 g mol$^{-1}$) and 9 g of glucose (molar mass = 180 g mol$^{-1}$) were dissolved in 35 g of water. The mass percent of urea and glucose is respectively.

Arrange the following in order of increasing number of unpaired electrons in them:

\([Fe(CN)_6]^{3-}\)
\([MnCl_6]^{3-}\)
\([FeF_6]^{3-}\)
\([Co(NH_3)_6]^{3+}\)

Planes $\pi_1$ and $\pi_2$ are defined by vectors. If $|\vec{a}| = \sqrt{14}$ and $\vec{a}$ is parallel to their intersection, then $|\vec{a} \cdot (\hat{i} + \hat{j} + \hat{k})| = $

The suitable reagent to carry out the following reaction is:

suitable reagent to carry out the following reaction

Identify the common character present in both dicot and monocot stems

Match the following

Set I		Set II		Set III
I.	DNA Ligase	A.	Polymerisation	i.	Okazaki fragments
II.	DNA Polymerase	B.	Introns	ii.	Reactive & unstable
III.	Splicing	C.	Joining	iii.	mRNA
IV.	Ribozyme	D.	RNA Enzyme	iv.	One direction

Match the following

List I		List II
A.	Red panda	i.	Grus leucogeranus
B.	Siberian crane	ii.	Antelope cervicapra
C.	The black buck	iii.	Sus salvanius
D.	Pygmy hog	iv.	Ailurus ochraceus

The early bacteria synthesized chlorophyll from

Bi-collateral vascular bundles can be found in these plants
A. Smilax zeylanica
B. Lilium candidum
C. Lycopersicon esculentum
D. Withania somnifera

The factors favorable for increase of binding affinity of oxygen with haemoglobin

Match the following Biomedical techniques and their uses

List I	List II
A. X-ray imaging	i. Density of bones in Osteoporosis
B. CAT Scan	ii. Diagnosis of breast, cervical cancers
C. MRI Scan	iii. Pneumonia, Tuberculosis
D. PET Scan	iv. Diagnosis of pathological conditions of body organs

Assertion (A): Mast cells secrete serotonin.
Reason (R): Vasodilators cause inflammation in response to infection.

Find out the correct match Set I A. Carbohydrates
B. Proteins
C. Fats
D. Nucleic acids
Set II i. Nucleosides, Phosphates
ii. Glucose, Fructose, Galactose
iii. Amino acids
iv. Fatty acids, glycerols

Find out the primary lymphoid organ from the following:

The metal ions required for the association of the two subunits of the prokaryotic ribosomes

Plant that possess characters like ramenta, archegonia, circinate

Name the cells of mature pollen grain when you observe under microscope with the following characters respectively,
A) Bigger cell with abundant food reserve and large irregular shaped nucleus.
B) Small, dense cytoplasm with nucleus.

Among the following, nocturnal periodicity is exhibited by

Choose the incorrect combination among the following:

Class	Character	Example
1) Xiphosura	Poisonous Claws	Limulus
2) Arachnida	Coxal Glands	Scutigera
3) Crustacea	Biramous appendage	Sarcoptes
4) Diplopoda	Gnathochilarium	Spirostreptus

Identify the Taxonomists from the group of scientists mentioned below: Hugodevries, Endlicher, Frankel Konrat, Haeckel, de Candolle, Hanning

This is the cross between F$_1$ generation and either of their parents

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