Set A={0,1,2,3,4,5} 

R be the equivalence relation on A.

Set R={(a,b)2divides(a−b)}

We have to find equivalnce class [0]

To find equivalence class {0},put b=0

⇒a−0 is multiple of 2 . 

⇒ a is multiple of 2. 

Multiples of 2 in given set are 0,2 and 4 . 

Hence equivalence class {0}={0,2,4}

The molar mass of hydrogen is 1

Molar mass of sulphur (S) is 32

Molar mass of oxygen (O) is 16

Now ,

2(1)+32+4(16) = 98

Molar mass of sulphuric acid i.e. H_2​SO_4​ is 98.

Solar eclipses result from the Moon blocking the Sun relative to the Earth; thus Earth, Moon and Sun all lie on a line. Lunar eclipses work the same way in a different order: Moon, Earth and Sun all on a line. In this case, the Earth's shadow hides the Moon from view. A solar eclipse happens when the moon passes in between the earth and the sun. A lunar eclipse happens when the earth passes in between the moon and the sun. During a solar eclipse, the moon partially or fully hides the sun's rays for a few minutes.

• Solar eclipse: For a solar eclipse to occur the moon should be between the earth and the sun. Occurs once in 18 months
• Lunar eclipse: For a lunar eclipse to occur the earth should be between the sun and the moon. Occurs twice a year

Star formation is the process by which dense regions within molecular clouds in interstellar space, sometimes referred to as "stellar nurseries" or "star-forming regions", collapse and form stars.

• Stars are huge celestial bodies made mostly of hydrogen and helium that produce light and heat from the churning nuclear forges inside their cores.
• Aside from our Sun, stars appear as dots of light in the sky. Each and every one of them is light-years away from us and much brighter than our own star, the Sun.
• Stars are the building blocks of galaxies and in a sense life as we know it.
• Our galaxy the Milky Way contains an estimated 300 billion stars alone.
• Observations concluded that stars with high mass usually have shorter life spans. They nonetheless last for billions of years in general.
• Stars are usually birthed in hydrogen-based dust clouds called nebulae.
• Stars are classified by their spectra and their temperature. There are seven main types of stars. In order of decreasing temperature, O, B, A, F, G, K, and M. This is known as the Morgan–Keenan (MK) system.
• The majority of all stars in our galaxy and even the Universe are main-sequence stars. Our Sun is a main-sequence star, and so are our nearest neighbors, Sirius and Alpha Centauri A.
• The majority of stars, at least until now observed, are typically red dwarf stars.
• Many stars come in pairs. They are binary stars that orbit a common barycenter.
• Stars have life cycles based on their initial mass.
• Stars do not twinkle. This is usually caused by Earth’s turbulent atmosphere instead.
• As far as the human eye can tell, there are no green stars. At least, we can’t perceive them.
• With the naked eye, we can perceive around 2.000 – 2.500 stars.

Stars are celestial objects that can produce their own light. They are extremely hot and extremely large. They are mostly made up of hydrogen gas with a little helium in them. The sun is also a star; the sun’s energy and light play one of the key roles in sustaining all forms of life on earth.

• Amino acids are classified as acidic, basic or neutral depending upon the relative number of amino and carboxyl groups in their molecule.
• Equal number of amino and carboxyl groups makes it neutral
• More number of amino than carboxyl groups makes it basic
• More carboxyl groups as compared to amino groups makes it acidic

• Amino acids are further classified as essential & Non-essential amino acids depending upon their synthesis
• The amino acids, which can be synthesised in the body, are known as nonessential amino acids. Examples: Alanine, Cysteine, Glutamate

A =4πr²

d=2r

Solving forA
A = π d² = π·16² ≈804.24772 cm²

हड़प्पा की खोज   दयाराम साहनीने की

The major ideas expressed by Kabir include:

• Rejection of major religious traditions.
• Criticism of all forms of external worship of both Brahmanical Hinduism and Islam.
• Criticism of priestly classes and the caste system.
• Belief in a formless Supreme God.
• Emphasis on Bhakti or devotion to achieve salvation.

Kabir expressed his ideas in a vast collection of verses known as sakhis and pads. These are said to have been composed by him and sung by wandering bhajan singers.

Q :

Different situations in different business are being elaborated below:-
(i) Raghunath Gorkha had a match stick factory in Nepal which got distructed by the recent earthquake.

Answer:

Causes of business risk identified in the above cases are as follows:--

1. Natural causes: Human beings have little or no control over natural calamities like flood, earthquake, lightning, heavy rains, famine, etc. A person can only  talk about them and can not say when they will definitely occur. These natural calamities result in heavy loss of life, property and income in business.

2. Human causes: Human causes include such unexpected events as dishonesty, carelessness or negligence of employer/employees, stoppage of work due to power failure, strikes, riots, management inefficiency, etc.
 

Yes, the poet seems to think that it was his first step towards adulthood. This is so because then he had become a rational human being.

India has varied relief features, landforms, climatic realms and vegetation types. These have contributed in the development of various types of soils.

1.Alluvial soil: This is the most widely spread and important soil. It consists of various proportions of sand, silt and clay. According to the age of the soil alluvial soils can be classified as.
Bangar (Old Alluvial).
Khadar (New Alluvial).
2. Black soil: These soils are black in colour and are also known as regur soils. Black soil is ideal for growing cotton and is also known as black cotton soil. This type of soil is typical of the Deccan trap region spread over northwest Deccan plateau. They are made up of extremely fine i.e. clayey material.
3. Red and yellow soil: Red soil develops on ciystalline igneous rocks in areas of low rainfall in the eastern and southern parts of Deccan plateau. Yellow and red soils are found in parts of Orissa, Chhattisgarh, southern parts of the middle Ganga plain and along the piedmont zone of the western ghats.
4. Laterite soil: The laterite soil develops in areas with high temperature and heavy rainfall. Humus content of the soil is low because most of the organisms get destroyed due to high temperature.
5. Arid soil: Arid soils range from red to brown in colour. They are generally sandy in texture and saline nature. It lacks moisture and humus due to high temperature and evaporation.
6. Forest soils: This soils is found in the hilly and mountainous areas where sufficient rain forests are available. The soils texture varies according to the mountain environment where they are formed. They are loamy and silly in valley sides and coarse grained in the upper slopes.

1. 

Let √2 be a rational number 

Therefore, √2= p/q  [ p and q are in their least terms i.e., HCF of (p,q)=1 and q ≠ 0

On squaring both sides, we get 
                   p²= 2q²                                                                                    ...(1)
Clearly, 2 is a factor of 2q²
⇒ 2 is a factor of p²                                                                    [since, 2q²=p²]
⇒ 2 is a factor of p

 Let p =2 m for all m ( where  m is a positive integer)

Squaring both sides, we get 
            p²= 4 m²                                                                                          ...(2)
From (1) and (2), we get 
           2q² = 4m²      ⇒      q²= 2m²
Clearly, 2 is a factor of 2m²
⇒       2 is a factor of q²                                                      [since, q² = 2m²]
⇒       2 is a factor of q 

Thus, we see that both p and q have common factor 2 which is a contradiction that H.C.F. of (p,q)= 1

     Therefore, Our supposition is wrong

Hence √2 is not a rational number i.e., irrational number.

The millimeter is a unit of length in the metric system, equivalent to one-thousandth of a meter (the SI base unit of length). In the standard metric system, power-of-10 prefix multipliers facilitate the derivation of other.