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John Einstin 5 years, 6 months ago
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Yogita Ingle 5 years, 6 months ago
Let us assume to the contrary that √3 is a rational number.
It can be expressed in the form of p/q
where p and q are co-primes and q≠ 0.
⇒ √3 = p/q
⇒ 3 = p2/q2 (Squaring on both the sides)
⇒ 3q2 = p2………………………………..(1)
It means that 3 divides p2 and also 3 divides p because each factor should appear two times for the square to exist.
So we have p = 3r
where r is some integer.
⇒ p2 = 9r2………………………………..(2)
from equation (1) and (2)
⇒ 3q2 = 9r2
⇒ q2 = 3r2
Where q2 is multiply of 3 and also q is multiple of 3.
Then p, q have a common factor of 3. This runs contrary to their being co-primes. Consequently, p / q is not a rational number. This demonstrates that √3 is an irrational number.
Posted by Saumya Pareek 5 years, 6 months ago
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Yogita Ingle 5 years, 6 months ago
(i) Structural processes of change due to a transformation in the network of social relationships.
(ii) Caste, kinship, family and occupational groups constitute some of the structural realities. Change in these relationships is a structural change.
(iii) When the traditional agrarian system based on family labour is transformed into agrarian system based on hired labour with a view to produce for the market, we may call it a structural change.
(iv) Another example can be the transformation of joint family to nuclear family brings about change in structure and function of family. It is through the process of differentiation of roles that structural change takes place.
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Yogita Ingle 5 years, 6 months ago
(i) No National Language: Our Constitution did not give the status of national language to any one language. Hindi was identified as the official language. But Hindi is the mother tongue of only about 40 per cent of Indians. Therefore, there were many safeguards to protect other languages.
(ii) Scheduled Languages: Besides Hindi, there are 22 other languages recognised as Scheduled Languages by the Constitution. A candidate in an examination conducted for the Central Government positions may opt to take the examination in any of these languages. States too have their own official languages. Much of the government work takes place in the official language of the concerned State.
Posted by Aryan Chandra 5 years, 6 months ago
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Yogita Ingle 5 years, 6 months ago
Mathilde herself was responsible for her own sorrows because of her obsession with the luxuries of high class society. She had always longed to wear elegant, stylish and dainty clothes and jewllwery. Unfortunately, she had been married to a clerk who could not afford all these things. Her obsession and love for trinkets brought her sorrow which she could have avoided.
The fate or Providence taught her a lesson for her flaw. Her husband received invitation to the ball; she became abnormally excited about it. She went beyond her means to make arrangements for herself for the ball. She spent excessively on her dress. And for the jewellery, she thought of borrowing Madame Forestier’s necklace.
Unfortunately, the borrowed necklace was lost at the party. She and her husband had to face ten years’ grueling headships to pay for the replacement of the lost necklace. After ten years she came to know from Madame Forestier that it was just an artificial necklace.
If Mrs. Loisel (Mathilde) had not gone beyond her means to attend the ball, she would not have faced all those hardships. If she had not been so much obsessed about trinkets and gimmicks of life, she would have been far more contented.
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Yogita Ingle 5 years, 6 months ago
it is a cultural movement which develops in the form of a national sentiment in the form of poems, paintings etc. by romantic artists criticising the glory of science and reasoning.
It goes supporting emotions and mystique feelings towards the nation
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Yogita Ingle 5 years, 6 months ago
The zeroes 2 and -2.
∴ Sum of the zeroes = 2 +(-2) = 0
∴ Product of the zeroes = 2 × (-2) = -4
The required polynomial is x2 - (sum of the zeroes) x + Product of the zeroes
⇒ x2 - (0) x + (-4)
x2 - 4
Shristi Upadhyay 5 years, 6 months ago
Posted by Sneha Singh 5 years, 6 months ago
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Yogita Ingle 5 years, 6 months ago
Data Consolidation allows you to gather together your data from separate worksheets into a master worksheet. In other words, the Data Consolidation function takes data from a series of worksheets or workbooks and summaries it into a single worksheet that you can update easily.
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Yogita Ingle 5 years, 6 months ago
• The Internet is called ‘Network of Networks’ because it is a global network of computers that are linked together by cables and telephone lines making communication possible among them. It can be defined as a global network over a million smaller heterogeneous computer networks.
• The network which consists of thousands of networks spanning the entire globe is known as the Internet.
• The Internet is a worldwide collection of networked computers which are able to exchange information with each other very quickly.
• Most people use the Internet in two ways E-mail and the World Wide Web. On the Internet most computers are not connected directly they are connected to smaller networks which in turn are connected through gateways to the Internet backbone.
• A gateway is a device that connects dissimilar networks. A backbone is a central interconnecting structure that connects one or more networks.
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