The five important attributes of a population are natality rate, mortality rate, *** ratio, age distribution, and population density

Let's check the properties of the relation \( R \) defined in \( \mathbb{R} \) (the set of real numbers) by \( R = \{(a, b) : a \times b \text{ is an irrational number}\} \): 1. **Reflexive:** A relation \( R \) is reflexive if for every element \( a \) in the set \( A \), the pair \( (a, a) \) belongs to \( R \). In this case, for any real number \( a \), \( a \times a = a^2 \) is always a real number, not necessarily irrational. So, \( R \) is not reflexive. 2. **Symmetric:** A relation \( R \) is symmetric if for every pair \( (a, b) \) in \( R \), the pair \( (b, a) \) also belongs to \( R \). If \( a \times b \) is irrational, it doesn't imply that \( b \times a \) is irrational. For example, \( \sqrt{2} \times \sqrt{3} \) is irrational, but \( \sqrt{3} \times \sqrt{2} \) is also irrational. So, \( R \) is symmetric. 3. **Transitive:** A relation \( R \) is transitive if for every pair \( (a, b) \) and \( (b, c) \) in \( R \), the pair \( (a, c) \) also belongs to \( R \). If \( a \times b \) and \( b \times c \) are irrational, it doesn't necessarily imply that \( a \times c \) is irrational. For example, \( \sqrt{2} \times \sqrt{3} \) and \( \sqrt{3} \times \sqrt{2} \) are both irrational, but \( \sqrt{2} \times \sqrt{2} = 2 \) is rational. So, \( R \) is not transitive. In summary: - \( R \) is not reflexive. - \( R \) is symmetric. - \( R \) is not transitive.

Krishna lifting mount govardhan

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"Dhamar" is a rhythmic cycle used in Indian classical music, particularly associated with the Dhrupad style. It typically consists of 14 beats, divided into 5+2+3+4 counts. In the context of a prescribed raga, for example, Raga Malkauns, the notation for Dhamar would typically follow the tala (rhythmic cycle) pattern along with the specific phrases and accents used within that raga. However, providing a specific notation without knowing the exact rendition or composition within the raga isn't feasible. If you have a specific composition or rendition in mind within a particular raga, I can attempt to provide a more precise notation.

Do raast sidhant

Gives energy for daily works

In the context of Raga Malkauns, the notation for Dhamar could be represented in its 14-beat cycle as follows: ``` X - - - | - - X - | - - - X - | X - - - | ``` Where: - "X" denotes a strong beat. - "-" denotes a weak beat. This represents the division of beats into 5+2+3+4 counts, which is characteristic of the Dhamar tala.

Ogigfi

Thank you for help👍🙏

1. First Five Year Plan: I. It was launched for the duration of 1951 to 1956, under the leadership of Jawaharlal Nehru. II. It was based on the Harrod-Domar model with a few modifications. III. Its main focus was on the agricultural development of the country. IV. This plan was successful and achieved a growth rate of 3.6% (more than its target of 2.1%). V. At the end of this plan, five IITs were set up in the country. 2. Second Five Year Plan: I. It was made for the duration of 1956 to 1961, under the leadership of Jawaharlal Nehru. II. It was based on the P.C. Mahalanobis Model made in the year 1953. III. Its main focus was on the industrial development of the country. IV. This plan lags behind its target growth rate of 4.5% and achieved a growth rate of 4.27%. V. However, this plan was criticized by many experts and as a result, India faced a payment crisis in the year 1957. (P.C. Mahalanobis) p c mahalanobis 3. Third Five Year Plan: I. It was made for the duration of 1961 to 1966, under the leadership of Jawaharlal Nehru. II. This plan is also called ‘Gadgil Yojna’, after the Deputy Chairman of Planning Commission D.R. Gadgil. III. The main target of this plan was to make the economy independent. The stress was laid on agriculture and the improvement in the production of wheat. IV. During the execution of this plan, India was engaged in two wars: (1) the Sino-India war of 1962 and (2) the Indo-Pakistani war of 1965. These wars exposed the weakness in our economy and shifted the focus to the defence industry, the Indian Army, and the stabilization of the price (India witnessed inflation). V. The plan was a flop due to wars and drought. The target growth was 5.6% while the achieved growth was 2.4%. Welfare Programmes by the Government of India 4. Plan Holidays: I. Due to the failure of the previous plan, the government announced three annual plans called Plan Holidays from 1966 to 1969. II. The main reason behind the plan holidays was the Indo-Pakistani war and the Sino-India war, leading to the failure of the third Five Year Plan. III. During this plan, annual plans were made and equal priority was given to agriculture its allied sectors and the industry sector. V. In a bid to increase the exports in the country, the government declared devaluation of the rupee. 5. Fourth Five Year Plan: I. Its duration was from 1969 to 1974, under the leadership of Indira Gandhi. II. There were two main objectives of this plan i.e. growth with stability and progressive achievement of self-reliance. III. During this time, 14 major Indian banks were nationalized and the Green Revolution was started. Indo-Pakistani War of 1971 and the Bangladesh Liberation War took place. IV. Implementation of Family Planning Programmes was amongst major targets of the Plan V. This plan failed and could achieve a growth rate of 3.3% only against the target of 5.7%. 6. Fifth Five Year Plan: I. Its duration was 1974 to 1978. II. This plan focussed on Garibi Hatao, employment, justice, agricultural production and defence. III. The Electricity Supply Act was amended in 1975, a Twenty-point program was launched in 1975, the Minimum Needs Programme (MNP) and the Indian National Highway System was introduced. IV. Overall this plan was successful which achieved a growth of 4.8% against the target of 4.4%. V. This plan was terminated in 1978 by the newly elected Moraji Desai government. garibi hatao 7. Rolling Plan: I. After the termination of the fifth Five Year Plan, the Rolling Plan came into effect from 1978 to 1990. II. In 1980, Congress rejected the Rolling Plan and a new sixth Five Year Plan was introduced. III. Three plans were introduced under the Rolling plan: (1) For the budget of the present year (2) this plan was for a fixed number of years-- 3,4 or 5 (3) Perspective plan for long terms-- 10, 15 or 20 years. IV. The plan has several advantages as the targets could be mended and projects, allocations, etc. were variable to the country's economy. This means that if the targets can be amended each year, it would be difficult to achieve the targets and will result in destabilization in the Indian economy. 8. Sixth Five Year Plan: I. Its duration was from 1980 to 1985, under the leadership of Indira Gandhi. II. The basic objective of this plan was economic liberalization by eradicating poverty and achieving technological self-reliance. III. It was based on investment Yojna, infrastructural changing, and trend to the growth model. IV. Its growth target was 5.2% but it achieved a 5.7% growth. 9. Seventh Five Year Plan: I. Its duration was from 1985 to 1990, under the leadership of Rajiv Gandhi. II. The objectives of this plan include the establishment of a self-sufficient economy, opportunities for productive employment, and up-gradation of technology. III. The Plan aimed at accelerating food grain production, increasing employment opportunities & raising productivity with a focus on ‘food, work & productivity IV. For the first time, the private sector got priority over the public sector. V. Its growth target was 5.0% but it achieved 6.01%. 10. Annual Plans: I. Eighth Five Year Plan could not take place due to the volatile political situation at the centre. K II. Two annual programmes were formed for the year 1990-91& 1991-92. Nature of Indian Economy: Structure and Key Features 11. Eighth Five Year Plan: I. Its duration was from 1992 to 1997, under the leadership of P.V. Narasimha Rao. II. In this plan, the top priority was given to the development of human resources i.e. employment, education, and public health. III. During this plan, Narasimha Rao Govt. launched the New Economic Policy of India. IV. Some of the main economic outcomes during the eighth plan period were rapid economic growth (highest annual growth rate so far – 6.8 %), high growth of agriculture and allied sector, and manufacturing sector, growth in exports andk imports, improvement in trade and current account deficit. A high growth rate was achieved even though the share of the public sector in total investment had declined considerably to about 34 % V. This plan was successful and got an annual growth rate of 6.8% against the target of 5.6%. 12. Ninth Five Year Plan: I. Its duration was from 1997 to 2002, under the leadership of Atal Bihari Vajpayee. II. The main focus of this plan was “Growth with Social Justice and Equality”. III. It was launched in the 50th year of independence of India. IV. This plan failed to achieve the growth target of 6.5% and achieved a growth rate of 5.6%. 13. Tenth Five Year Plan: I. Its duration was from 2002 to 2007, under the leadership of Atal Bihari Vajpayee and Manmohan Singh. II. This plan aimed to double the Per Capita Income of India in the next 10 years. III. It also aimed to reduce the poverty ratio to 15% by 2012. IV. Its growth target was 8.0% but it achieved only 7.6%. 14. Eleventh Five Year Plan: I. Its duration was from 2007 to 2012, under the leadership of Manmohan Singh. II. It was prepared by the C. Rangarajan. III. Its main theme was “rapid and more inclusive growth”. IV. It achieved a growth rate of 8% against a target of 9% growth. 15. Twelfth Five Year Plan: I. Its duration is from 2012 to 2017, under the leadership of Manmohan Singh. II. Its main theme is “Faster, More Inclusive and Sustainable Growth”. III. Its growth rate target was 8%. For a long feeling that for a country as diverse and big as India, centralised planning could not work beyond a point due to its one-size-fits-all approach. Therefore, the NDA government has dissolved the Planning Commission which was replaced by the NITI Aayog. Thus, there was no thirteen Five Year Plan, however, the five-year defense plan was made. It is important to note that the documents of the NITI Aayog have no financial role. They are only policy guide maps for the government.

The Krishna on swing was pianted by nurrudin in 1683 and water colurs on paper, the sub school of the painting is bikaner , technique is twmpra and collection is national museum,new delhi

This painting painted by Nuruddin is based on the Rasikapriya poetry of keshvadasa . The most widely illustrated work of medieval hindi poetry . One day krishna takes with him on the swing a Gopi other than Radha . This behaviour of Krishna offends Radha whose love for krishna will not tolerate any one in between. On this Radha feels betrayed and upset. This painting is divided into two parts. The upper part of painting relates to the first part of the episode,though with some change . Krishna is alone on the swing. He has his eyes fixed on Radha who is sitting in the porch , or on the terrace. Radha too is looking at the krishna . In the lower part Krishna is seen sitting inside the one bower and radha inside the other . The eyes and faces pf both betray grief ( sorrow) amd pain.

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To prove this identity, let's denote: - \( \theta_1 = \tan^{-1}\left(\frac{2}{11}\right) \) - \( \theta_2 = \tan^{-1}\left(\frac{7}{24}\right) \) We want to prove that: \[ \tan^{-1}\left(\frac{2}{11}\right) + \tan^{-1}\left(\frac{7}{24}\right) = \tan^{-1}\left(\frac{1}{2}\right) \] We'll use the tangent addition formula: \[ \tan(\alpha + \beta) = \frac{\tan \alpha + \tan \beta}{1 - \tan \alpha \cdot \tan \beta} \] Let's apply this formula: \[ \tan(\theta_1 + \theta_2) = \frac{\frac{2}{11} + \frac{7}{24}}{1 - \frac{2}{11} \cdot \frac{7}{24}} \] \[ = \frac{\frac{48 + 77}{264}}{1 - \frac{14}{264}} \] \[ = \frac{\frac{125}{264}}{\frac{250 - 14}{264}} \] \[ = \frac{\frac{125}{264}}{\frac{236}{264}} \] \[ = \frac{125}{236} \] Now, let's find \( \tan^{-1}\left(\frac{125}{236}\right) \): \[ \tan^{-1}\left(\frac{125}{236}\right) = \tan^{-1}\left(\frac{1}{2}\right) \] Therefore, we've proven the identity: \[ \tan^{-1}\left(\frac{2}{11}\right) + \tan^{-1}\left(\frac{7}{24}\right) = \tan^{-1}\left(\frac{1}{2}\right) \]

Going through the ncert and pyqs might be enough.

(That team is not participet in first round That is giving a bye) That are same formula for bye &seeding 1-lower most team of lower helf 2-opper most team of opper helf 3-opper most team of lower helf 4-lower most team of opper helf

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Which painting is based on Indian classical music

I defend this statement. Subsidies to the poor is a transfer payment, since for it he didn't do any rended any productive services in lieu of.

I Defend the statement . Subsidies to the poor is a transfer payment because A transfer payment is a one-way payment to a person or organization .This contrasts with a simple "payment," which in economics refers to a transfer of money in exchange for a product or service

The Enlightenment included a range of ideas centered on the value of human happiness, the pursuit of knowledge obtained by means of reason and the evidence of the senses, and ideals such as natural law, liberty, progress, toleration, fraternity, constitutional government, and separation of church and state.