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The roots of the equation 2(a2+b2)×x2+2(a+b)×x+1=02 (a ^ 2 + b ^ 2) \times x ^ 2 + 2(a + b) \times x + 1 = 0 are

Let f be a function from Z to Z. such that f(x) = x + 3 Find the inverse of f?

Let fand g be the functions from R to R such thatf(x)=2xf(x)=2x and g(x)=x2g(x) = x ^ 2 What is fg ?

The relation "division" on the set of positive integers is
How many reflexive relations there in a set of n + 1 elements?
The primary goal of the action plan phase in Action Research is
Which among the following is the exact situation where the maxim 'Simple to Complex is implied?
Which statement is NOT TRUE as per Piaget?
Which among the following typically demands 'predictive validity?"
Which level of thinking is aligned with 'the expectation for a student to articulate the underlying concept and process in mathematical induction"?
Which among the following statements about the peasant movements in India is/are not correct? i All India Kisan Sabha was formed in 1936. ii. Bardoli Satyagraha was a peasant movement led by Jaya Prakash Narayan in 1928. iii. The Bhoodan Movement was launched by Mahatma Gandhi at Pochampalli in Telangana. iv. The play, 'Nil Darpan by Bankim Chandra Chatterjee, portrayed the sufferings of indigo cultivators.
Which among the following statements about 'Mission AXIOM-4 is/are not correct? i. Shubhanshu Shukla is the India's first astronaut on the International Space Station. ii. The mission carried seed varieties developed by Kerala Agricultural University and the Indian Institute of Space Science and Technology. iii. The A1-4 crew includes members from India, the USA, France and Germany. iv. Falcon 9 is a reusable, two-stage rocket designed and manufactured by NASA.
The great Joe DiMaggio suffers from …. affliction.
Which among the following statements is/are correct regarding the qualification for the appointment of a person as a Governor? i He/she should be a citizen of India. ii. He/she should have completed the age of 35. iii. He/she should not belong to the state where he/she is appointed. iv. While appointing the Governor, the President is required to consult the Chief Minister of the state concerned.
What happens to make Santiago curse the treachery of his own body?
What does the weary warbler that lands on Santiago's fishing line make the old man think of?
In what year was The Old Man and the Sea published?
Which among the following is/are associated with Raja Ram Mohan Roy? i. Atmiya Sabha ii. Dharma Sabha iii. The Calcutta Unitarian Committee iv . Brahma Samaj
During his great struggle with the marlin, what does Santiago wish repeatedly?
How does the old man know immediately the size of the great marlin he has caught?
What kind of fish does Santiago first catch?
Why does Santiago not let his lines drift like the other fishermen?
. What hangs on the wall of the old man's shack?
What kind of reception does Santiago receive at the terrace café?
How does Hemingway describe Santiago's eyes?
Why is Manolin particularly devoted to Santiago?
Which of the following books was/were written by Dr.B.R. Ambedkar? i. Annihilation of Caste ii. The Buddha and his Dhamma iii Thoughts on Pakistan iv. What Congress and Gandhi have done to the untouchables
What type of fish does Santiago catch?
What happens to the fish that Santiago kills?
Which among the following statements about Tennis is not correct? i . Wimbledon Championship is the first Grand Slam tournament in a single tennis calendar year. ii. At present, there are six Grand Slam tennis tournaments. iii. The Headquarters of the International Tennis Federation is located in the United Kingdom. iv. Madison Keys won her first-ever Grand Slam title in the Australian Open.
Which baseball player does Santiago idolize?
The story takes place in and off the coast of..
Who among the following were the foreigners who served as the President of the Indian National Congress? i George Yule ii. William Wedderburn iii. Alfred Webb iv. Henry Cotton v. Annie Besant
Which among the following statements on the G7 is/are correct? i. G7 is an intergovernmental political and economic forum of advanced democracies. ii The USA, Canada, Russia, Germany, Italy, Japan and the UK are the G7 countries. iii. India has been an invited member of the G7 for the last few years. iv. Italy presided over the 2025 G7 Summit held at Kananaskis.
Which among the following countries has a coast along the Persian Gulf? i Omua ii The UAE iii Qatar iv. Bahrain v. Yemen
Which among the following statements about labour movements in Kerala is/are correct? i Thozhilali was the official journal of the Travancore Labour Association. ii. Arya Pallam was a part of the strike organised by the Travancore Coir Factory Workers Union in 1938. iii K.C. George was the first President of the Travancore Communist Party. iv. T.K. Varghese Vaidyan was one of the important leaders of the Punnapra-Vayalar revolt
Which of the following statements is/are correct regarding 'Wholesale Price Index' (WPI) and 'Consumer Price Index (CPI)? i. WPI and CPI are economic indicators used to measure inflation. ii. In WPI, the weight is based on average household expenditure taken from consumer expenditure data. iii. In CPI, the weight of items is based on production values, iv. CPI includes services, whereas WPI does not include services.
Which of the following statements regarding the "Swadeshi Movement' is correct? i The Swadeshi movement was launched as a response to the death sentence of the Chapekar brothers. ii. V.O. Chidambaram Pillai was the leader of the Swadeshi movement in South India. iii. Rabindranath Tagore founded the 'Indian Society of Oriental Art' to revive ancient art traditions of India.
Which of the following statements about 'Van Mahotsav' is/are correct? i. It is an annual tree-planting festival celebrated across Indis in the first week of July. ii. M.S.Randhawa,Indian Civil Servant and Botanist,was the brain behind this program. iii It was launched in 1950 by K.M.Munshi, then Union Minister for Agriculture and Food. iv. The objective is keep local people involved in plantation drives and spread environmental awareness.
Which of the following are the essential principles of Gandhi's idea of 'Satyagraha'? i. Self-Suffering ii. Non-Violence iii. Truth iv. Love
Which among the following are associated with K. Kelappan? i. Vaikom Satyagraha ii. Salt Satyagraha iii. Travancore Legislative Council iv. Malayali Memorial

What is the most accurate implication of this statement?

  1. The principles of management are only applicable to industrial and business organizations.
  2. Management is applicable to all types of organizations, from families and schools to government departments and military organizations.
  3. Management is a process that has remained unchanged since ancient civilizations and has not been affected by new theories or technologies.
  4. The core functions of management (planning, organizing, etc.) are the same everywhere, but the way they are implemented may vary depending on the organization.

    Evaluate the following statements regarding the functions of management and administration:

    1. Administration is a higher-level function concerned with determining objectives and formulating policies, whereas management is an executing function that implements these policies.
    2. Management is responsible for decision-making and planning, while administration focuses on directing and controlling the subordinates to achieve the set goals.
    3. In smaller firms, the functions of management and administration often overlap and are performed by the same individual.

      Statement: Private sector organizations are not secure in terms of employment stability.
      Assertion: Non-performance or cost-cutting measures can lead to employee termination in private sector organizations.
      Which of the following is correct?

      Statement: Public sector organizations are primarily focused on public welfare.
      Assertion: The government’s ownership and control ensure that these organizations prioritize societal needs over profit.
      Which of the following is correct?

      With reference to the impact of the New Economic Policy of 1991 in India, consider the following statements:

      1. It led to the opening of most industries to the private sector.

      2. It significantly increased the size and growth rates of the Indian economy.

      3. It reduced the role of public sector organizations in key industries.

      4. It eliminated all non-profit organizations from economic activities.

      Which of the statements given above are correct?

      Consider the following statements regarding the purpose of organization as per management theory:

      1. An organization is a group of people who cooperate with each other for achieving certain common objectives.
      2. The purpose of an organization is to create and produce something useful and desired by society.
      3. The purpose of an organization is solely to create a formal structure with a clear hierarchy and division of labor, irrespective of its output.

        With reference to public sector organizations, consider the following statements:
        i. They are fully or partially owned by central, state, or local government bodies.
        ii. Their primary aim is to earn profits for government stakeholders.
        iii. They provide goods and services at lower rates compared to private organizations.
        iv. They operate in areas such as police, military, and education.

        Which of the statements given above are correct?

        Match the following organizations with their examples.
        i. Public Sector Organization a. Wipro
        ii. Private Sector Organization b. ONGC
        iii. Non-Profit Organization c. Akshaya Patra Foundation
        iv. Multinational Corporation d. Reliance

        Consider the following statements regarding the characteristics of management as a profession:

        1. A profession is a highly specialized field requiring technical skills, but not necessarily a formal body of knowledge.
        2. Management has been historically viewed as a profession but has become less so over time due to the influence of various scientific theories.
        3. The rise of management as a profession has led to a separation of ownership and management, where managers, who are not necessarily owners, are hired to run the organization based on their expertise.