### Three Dimensional Geometry (part - 2) , The Planes | study material for IIT JEE | concept booster, chapter highlights/

THREE DIMENSIONAL GEOMETRY (PART - 2), THE PLANES

THE PLANESPlane is the surface such that if any two points are taken on it, then the line joining the two points lies on it.
General equation of plane is given as -  ax + by + cz + d = 0 , where a ,b and c is not equal to zero.
POINTS TO BE REMEMBERED 1). a, b and c are the directions ratios of the normal to the plane ax + by + cz + d = 0.

2). Equation of the yz - plane is x = 0

3). Equation of the zx - plane is y = 0

4). Equation of the xy - plane is z = 0

5). Equation of the any plane parallel to the xy - plane is z = c. Similarly for Planes parallel to yz and zx is x = c and y = c
EQUATION OF THE PLANE IN NORMAL FORMVECTOR FORMIf n̂ be a unit vector normal to a given plane and d be the length of the perpendicular from the origin to the plane, then the equation of the plane is given by -                           r.n̂ = d CARTESIAN FORMIf l, m, n are the directions cosines of the normal to the plane and d is the perpendicular distan…

# Metamorphosing Sociopolitical Matrix of India under the Regime of East India Company till 1857

Under the colonial rule of the British Imperial Legislative Government and East India Company, the sociopolitical structure of India had undergone a massive change at several levels. East India Company was evolving as a crucial political strength in India by late eighteenth century after deposing prominent regional powers like Bengal, Bombay etc. The Company introduced repressive policies for expansion of territories as elaborated in the article Emergence of East India Company as an Imperialist Political Power in India.
Functioning as an administrative and political entity in India, EIC launched numerous political, social and education-related policies that considerably affected various sections of society like peasants, women, children, industrial sectors and handicrafters. The prime objective of this article is to shed light on the sociopolitical matrix of British India to understand the status of people in colonial society.

## Economic and Agricultural Sector of British India:

In 1765, East India Company achieved Diwani Rights i.e. revenue collection rights over Bengal, Bihar and Orrisa after Battle of Buxar. Consequently, the colonial power financed its growing expenses and funds for maintenance of military troops on Indian revenue thereby the gold influx in India nullified as the goods could now be purchased from the collected revenue. Not only this, but the Company also compelled the artisans to sell goods at lower prices that caused extreme discontent amongst artisans and craftsmen. In 1770, India was ravaged by severe famine that led to enormous crop failure. It adversely impacted the lives of poor peasants who were unable to pay revenues. The artisanal decline and agricultural downfall manifested the serious economic crisis of India under the colonial regime.
In such chaos, East India Company realized the direst need to ensure the periodic inflow of revenue in their hands and therefore they introduced the Permanent Settlement System in 1793 to access a regular system of revenue collection. Introduced by Lord Cornwallis in the states of Bengal, Bihar and Orrisa, Permanent Settlement, 1793 stated that zamindars i.e. owners of the land will collect fixed revenues from the peasants and they will receive 1/11th part of obtained revenue. The remaining 10/11th part of the revenue was to be submitted to EIC by a fixed day of the year. In case of non-payment of revenues, the zamindari could be seized. Asserting their superiority, the zamindars exploited the local tenants by claiming their ownership. The cultivators perceived the method extremely oppressive and excruciating. The EIC wasn't even satisfied because they couldn't gather enough money for their expenditures and therefore Mahalwari System was introduced by Holt Mackenzie in NWFP and Punjab in 1822. Under this system, tuglaqdars and Mahals were given the responsibility of revenue collection in villages that could be revised periodically. Similarly, a shift from the Zamindari system to the Ryotwari System had been observed in some parts of Bombay and Madras. Devised by Thomas Munro and Alexender Read, Ryotwari System underlined that ryot i.e. cultivator would have extensive control over his land and he would directly pay the fixed rent to the government for 30 years. In a simplistic sense, the mediator between the particular cultivator and colonial power was eliminated to eradicate the exploitation of cultivators by intermediaries. Though it looks less exploitative realistically it entrapped several peasants in vicious loan cycles gathered by Mahajan and moneylenders. The oppressive land revenue systems are the reflection of the suppressed, crushed state of Indian peasants during the colonial administration.

## Educational System in British India:

Till late 18th century, EIC was objectively promoting the teachings of ancient Indian literature, Sanskrit and Persian poetry. With this intention, they established a madrasa in Calcutta to encourage Arabic, Persian and Islamic principles in 1781. Furthermore, Hindu College was founded in Benaras in 1791 to promote Indian historical Sanskrit texts. It was also an era of emerging orientalism and revival of Indian culture and heritage. The Orientalists like William Jones, Thomas Colebrooke and Nathaniel Halhed were profoundly impressed by Eastern scripts on law, philosophy, religion, politics, sciences and medicine and therefore they together started a journal named Asiatick Researches. They believed that the British interpretation of Eastern texts would help Indians to regain glory in their diverse heritage. But by the early 19th century, Orientalist vision of knowledge was vehemently criticised by British administrators because they perceived Eastern texts as irrational, unscientific and faulty. The constant debates (Orientalist Learning vs European Learning) continued and the verbal attack on Orientalists sharpened in the 1830s.
The British critic Thomas Macaulay illustrated the unscientific nature of Eastern texts to emphasize on the need of introducing English Education System in India. In 1835, the English Education Act was commenced to foster English as the medium for higher education in Indian institutions. He believed that European learning will build strong moral characters with a sense of commitment and duty to their works.
In the 1830s, William Adam was also appointed to examine the progress of education in vernacular schools and colleges. Based on his report, East India Company issued Woods Despatch in 1854 to introduce order within the vernacular teaching system.
Though some Indians assumed European learning as a step towards modernization but on a broader spectrum, the English Medium Education System was widely criticised by many intellectuals. Gandhi detected how this system created a sense of inferiority among Indians and therefore he claimed- "English Education has enslaved us."
( In 1813, Charter Act was introduced that laid out provisions for educational enrichment. For reference, view  Was East India Company supremely functioning as a Political Power in India?

## Status of Women and Children in colonial India:

Colonial India was largely patriarchal and conservative that restricted the women to household tasks. It disallowed women the access to education, right to property and compelled them to sacrifice their life by burning themselves on funeral pyres of their husbands i.e Sati System. Likewise, it tended the children to marry at tender ages i.e. Child Marriage. These orthodox rituals were subversively challenged by various social reformers like Rajaram Mohan Ray, Ishwarchandra Vidyasagar in the early nineteenth century with textual evidence.

Inspired by Western thought of gender equality, Rajaram Mohan Ray broadly reflected the barbarism and discrepancy of Sati System to larger amplitude of people who advocated it. He showed that no ancient Indian text sanction this conventional practise and therefore it should be prohibited. With his consistent efforts,  Sati was banned in 1829. Later, he founded Brahmo Samaj to promote principles of equality and nationalism.
Similarly, Ishwarchandra Vidyasagar suggested Widow Remarriage by indicating textual references from Indian scriptures. Though he was greatly opposed by Indians but the practise was adopted and legalized
by Britishers in 1856.
Post Revolt of 1857, several reformers functioned at the individual level for the upliftment of women and promotion of girl education. Re-designers of society criminalized Female Infanticide i.e the deliberate killing of a female newborn child in 1870. The social reformers constantly interrogated orthodox perceptions and curbed unethical practises. Eventually, they tended the colonial government to ban Child Marriage in 1929. Under the Child Marriage Restraint Act, 1929, no men below 18 and women below 16 could marry.

## Transforming Casteist Social Structure during Colonialism in India:

Colonial India was intrinsically subdivided in terms of caste- Brahams and Kshatriyas generally referred to as upper caste lie topmost in the social hierarchy; followed by traders and moneylenders (Vaishyas) and; weavers and potters (Shudras). Dalits existed at the lowest level in the social configuration and therefore they were brutally maltreated and discriminated by upper sections of society. In such a casteist community, there prevailed Untouchability and Caste Annihilation on an expansive scale.
The profoundness of intimidation created personalities of incredible heights like Ghasidas, Haridas, Jyotirao Phule and Dr BR Ambedkar. Questioning the caste-based prejudices, Ghasidas founded "Satnami Movement" in 1820 across Chattisgarh to eradicate marginalisation and social inequalities. Likewise, a socio-religious organisation Paramhans Mandali was founded by Durgaram Mehtaji in 1840 in Maharashtra that was energetically working for abolition of the caste system.
Post Revolt of 1857, the pace of social transformation accelerated. In 1873,
Jyotirao Phule established Satyashodak Samaj  to uplift downtrodden lower sections of society and raise voice against caste atrocities. Phule and various social reformers, Christian missionaries started to educate the children of lower castes for bringing a sense of social equality. Dr BR Ambedkar had effectively struggled against casteist society to make it feasible for lower caste enter temples.

Conclusion:

With reference to previous articles (suggested down) and above analysis, it could be broadly demonstrated that East India Company and British Imperial Parliamentary Government were coordinated colonial powers who had paralyzed the sociopolitical structure of India. They exploited indigenous resources, people and the rich economic system to an excruciating level. Though they abolished Sati System, Female Infanticide, Child Marriage but these were not intentional steps. These revolutionary measures were the cumulative result of the continuous and coordinated efforts of social reformers.

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### The Revolt of 1857: The Broader Manifestation of Emerging Mass Nationalism in India ๐ฎ๐ณ

The Revolt of 1857: The Broader Manifestation of Emerging Mass Nationalism in India ๐ฎ๐ณเคธिंเคนाเคธเคจ เคนिเคฒ เคเค े เคฐाเคเคตंเคถों เคจे เคญृเคुเคी เคคाเคจी เคฅी,
เคฌूเคข़े เคญाเคฐเคค เคฎें เคเค เคซिเคฐ เคธे เคจเคฏी เคเคตाเคจी เคฅी,
เคुเคฎी เคนुเค เคเค़ाเคฆी เคी เคीเคฎเคค เคธเคฌเคจे เคชเคนเคाเคจी เคฅी,
เคฆूเคฐ เคซिเคฐंเคी เคो เคเคฐเคจे เคी เคธเคฌเคจे เคฎเคจ เคฎें เค ाเคจी เคฅी।
เคเคฎเค เคเค ी เคธเคจ เคธเคค्เคคाเคตเคจ เคฎें, เคตเคน เคคเคฒเคตाเคฐ เคชुเคฐाเคจी เคฅी,
เคฌुंเคฆेเคฒे เคนเคฐเคฌोเคฒों เคे เคฎुँเคน เคนเคฎเคจे เคธुเคจी เคเคนाเคจी เคฅी,
เคूเคฌ เคฒเคก़ी เคฎเคฐ्เคฆाเคจी เคตเคน เคคो เคाँเคธी เคตाเคฒी เคฐाเคจी เคฅी।। - เคธुเคญเคฆ्เคฐा เคुเคฎाเคฐी เคौเคนाเคจ (เคญाเคฐเคคीเคฏ เคเคตि)
Around 3000 rebellious Indian soldiers erupted with excessive outrage on 10 May 1857 against the oppressive colonial system in the garrison town of Merrut. Crossing Jamuna river, the revolutionaries entered Delhi, attacked British cavalry posts, police stations, killed European officials and ascertained their control over Red Fort and Salimgarh Fort. The upsurging rebellion gained the political support of Nana Saheb- the adopted son of late Peshwa Baji Rao, the queen of Jhansi Rani Laxmibai, Mughal Emperor Bahadur Shah ZafarTantia Tope, Rani Awantibai. Identifying with the ong…

### Three Dimensional Geometry (part - 2) , The Planes | study material for IIT JEE | concept booster, chapter highlights/

THREE DIMENSIONAL GEOMETRY (PART - 2), THE PLANES

THE PLANESPlane is the surface such that if any two points are taken on it, then the line joining the two points lies on it.
General equation of plane is given as -  ax + by + cz + d = 0 , where a ,b and c is not equal to zero.
POINTS TO BE REMEMBERED 1). a, b and c are the directions ratios of the normal to the plane ax + by + cz + d = 0.

2). Equation of the yz - plane is x = 0

3). Equation of the zx - plane is y = 0

4). Equation of the xy - plane is z = 0

5). Equation of the any plane parallel to the xy - plane is z = c. Similarly for Planes parallel to yz and zx is x = c and y = c
EQUATION OF THE PLANE IN NORMAL FORMVECTOR FORMIf n̂ be a unit vector normal to a given plane and d be the length of the perpendicular from the origin to the plane, then the equation of the plane is given by -                           r.n̂ = d CARTESIAN FORMIf l, m, n are the directions cosines of the normal to the plane and d is the perpendicular distan…

### " THE LAWS OF NATURE" เคช्เคฐเคृเคคि เคे เคจिเคฏเคฎ, เคिเคธเคธे เคोเค เคญी เคฌเค เคจเคนीं เคธเคเคคा, เคเคช เคญी เคจเคนीं | เคช्เคฐเคृเคคि เคे เคคीเคจ เคुเคฃ เค्เคฏा เคนै?|

"เคฒॉเค เคเคซ เคจेเคเคฐ" เคเคนเคคा เคนै -

เคช्เคฐเคृเคคि เค्เคฏा เคนै?
เคिเคธी เคฐाเคท्เค्เคฐ เคฏा เคฆेเคถ เคो เคเคฆเคฐ्เคถ เคฐाเคท्เค्เคฐ เคฏा เคฆेเคถ เคฌเคจाเคจे เคे เคฒिเค เคจिःเคธंเคฆेเคน เคเค เคเคฆเคฐ्เคถ เคाเคจूเคจ เคต्เคฏเคตเคธ्เคฅा เคी เคเคตเคถ्เคฏเคเคคा เคนोเคคी เคนै, เคिเคธเคे เคจเคเคฐ เคฎें เคเคธ เคฆेเคถ เคฎें เคฐเคนเคจे เคตाเคฒा เคธूเค्เคท्เคฎ เคीเคต เคธे เคฒेเคเคฐ เคตिเคถाเคฒเคाเคฏ เคीเคต เคคเค เคธเคญी เคเค เคธเคฎाเคจ เคนोเคคे เคนै। เคिเคธी เคฆेเคถ เคा เคธ्เคตाเคฎी เคเค เคฎเคจुเคท्เคฏ เคนो เคธเคเคคा เคนै, เคเคธ เคชृเคฅ्เคตी เคा เคธ्เคตाเคฎी เคญी เคเค เคฎเคจुเคท्เคฏ เคนो เคธเคเคคा เคนै, เคिเคจ्เคคु เค्เคฏा เคเคธ เคธเคฎ्เคชूเคฐ्เคฃ เคฌ्เคฐเคน्เคฎाเคฃ्เคก เคा เคธ्เคตाเคฎी เคญी เคเค เคฎเคจुเคท्เคฏ เคนो เคธเคเคคा เคนै, เคถाเคฏเคฆ เคจเคนीं .... เคเคฌ เคฏเคนां เคชเคฐ เคเค เคช्เคฐเคถ्เคจ เคนै เคเค เคคा เคนै, เคि เค्เคฏा เคเคธ เคธเคฎ्เคชूเคฐ्เคฃ เคฌ्เคฐเคน्เคฎाเคฃ्เคก เคो เคญी เคिเคธी เคธ्เคตाเคฎी เคी เคเคตเคถ्เคฏเคเคคा เคนै? เคฏเคฆि เคिเคธी เคฆेเคถ เคो เคธ्เคตाเคฎी เคि เคเคตเคถ्เคฏเคเคคा เคนै, เคฏเคฆि เคชृเคฅ्เคตी เคो เคिเคธी เคธ्เคตाเคฎी เคी เคเคตเคถ्เคฏเคเคคा เคนै, เคคो เคฏเคीเคจเคจ เคเคธ เคฌ्เคฐเคน्เคฎांเคก เคो เคญी เคเค เคธ्เคตाเคฎी เคि เคเคตเคถ्เคฏเคเคคा เคนै। เคเคธ เคฌ्เคฐเคน्เคฎांเคก เคा เคธ्เคตाเคฎी เคो เคोเค เคญी เคนै, เคเคธเคे เคฒिเค เคฏे เคชूเคฐा เคฌ्เคฐเคน्เคฎांเคก เคเค เคฆेเคถ เคैเคธा เคนै, เคिเคธเคे เคญीเคคเคฐ เคนเคฎाเคฐे เคैเคธे เคเคธंเค्เคฏ เคीเคต เคฐเคน เคฐเคนे เคนै, เคเคธ เคฌ्เคฐเคน्เคฎांเคก เคฎें เคนเคฎ เคเคेเคฒे เคจเคนीं เคนै। เคฏเคฆि เคฏे เคชूเคฐा เคฌ्เคฐเคน्เคฎांเคก เคเค เคฆेเคถ เคนै, เคคो เคจिเคถ्เคिเคค เคนी เคเคธ เคฆेเคถ เคा เคญी เคเค เคจिเคฏเคฎ เคนोเคा เคोเค เคाเคจूเคจ เคนोเคा। เคฏเคฆि เคนเคฎ เคिเคธी เคฆेเคถ เคी เคฌाเคค เคเคฐें เคคो เคตเคนां เคाเคจूเคจ เคต्เคฏเคตเคธ्เคฅा เคฌเคจाเค เคฐเคเคจे เคे เคฒिเค เคธैเคจिเคों เคो เคคैเคจाเคค เคिเคฏा เคा…

### Was East India Company supremely functioning as a Colonial Trading Group till 1857?

Was British East India Company supremely functioning as a Colonial Trading Group till 1857?

After acquiring the royal charter from the ruler of England in 1600, the British East India Company attained a monopoly on trade with East. The company eliminated competition in business; asserted control over Bengal after Battle of Plassey 1757; achieved Diwani rights ( i.e. revenue collection rights over Bengal, Bihar and Orisha) after Treaty of Allahabad 1765 and emerged as a supreme political power by the middle eighteenth century. But interestingly, the company experienced financial collapse by the second half of the eighteenth century because of nepotism and persistence of corruption in company officials. ( Such corrupt officials were often referred as nabobs- an anglicised form of the nawab.)
British Parliamentary Government investigated the inherent functioning of the company and introduced several acts to induce discipline in the company officials. Regulating Act/ Charter Act (1773):Thi…