SYLLABUS FOR ACADEMIC SESSION 2025-26
SAMPLE PAPERS FOR REVISION
10th Class
https://cbse.solutions/mathsstd
https://cbse.solutions/mathsbasic
https://cbse.solutions/science
https://cbse.solutions/englishll
हिंदी अ 10th
हिंदी ब 10th
Mathematics 12th
https://cbse.solutions/mathematics
Physics 12th
https://cbse.solutions/physics
Chemistry 12th
https://cbse.solutions/chemistry
Biology 12th
https://cbse.solutions/biology
English 12th
https://cbse.solutions/englishcore
Economics 12th
https://cbse.solutions/economics
Business Studies 12th
https://cbse.solutions/businessstudies
Accountancy 12th
https://cbse.solutions/accountancy
Physical Education 12th
Computer Science 12th
https://cbse.solutions/computerscience
Information Practice 12th
https://cbse.solutions/infopractice
History 12th
https://cbse.solutions/history
Political Science 12th
https://cbse.solutions/politicalscience
Geography 12th
https://cbse.solutions/geography
Psychology 12th
https://cbse.solutions/psychology
Sociology 12th
https://cbse.solutions/sociology
Answer Key is attached at the end of papers.
Srinivasa Aiyangar Ramanujan
Srinivasa Aiyangar Ramanujan
Erode, Tamil Nadu state, India
Kumbakonam, Tamil Nadu state, India
Biography
Srinivasa Ramanujan was one of India's greatest mathematical geniuses. He made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series.
Ramanujan was born in his grandmother's house in Erode, a small village about 400 km southwest of Madras (now Chennai). When Ramanujan was a year old his mother took him to the town of Kumbakonam, about 160 km nearer Madras. His father worked in Kumbakonam as a clerk in a cloth merchant's shop. In December 1889 he contracted smallpox.
When he was nearly five years old, Ramanujan entered the primary school in Kumbakonam although he would attend several different primary schools before entering the Town High School in Kumbakonam in January 1898. At the Town High School, Ramanujan was to do well in all his school subjects and showed himself an able all round scholar. In 1900 he began to work on his own on mathematics summing geometric and arithmetic series.Ramanujan was shown how to solve
It was in the Town High School that Ramanujan came across a mathematics book by G S Carr called Synopsis of elementary results in pure mathematics. This book, with its very concise style, allowed Ramanujan to teach himself mathematics, but the style of the book was to have a rather unfortunate effect on the way Ramanujan was later to write down mathematics since it provided the only model that he had of written mathematical arguments. The book contained theorems, formulae and short proofs. It also contained an index to papers on pure mathematics which had been published in the European Journals of Learned Societies during the first half of the 19th century. The book, published in 1886, was of course well out of date by the time Ramanujan used it.
आइये एक कहानी पढ़े--: काम की चार बातें :-
एक राजा की सुंदर वाटिका में लगी अंगूरों की एक बेल को एक चिड़िया ने नष्ट कर दिया। एक दिन राजा ने उसे पकड़ लिया और मारने लगा।
उसने कहा, ‘राजन, मुझे मत मारो। मैं आपको ज्ञान की चार बातें बताउंगी।’ राजा ने कहा, जल्दी बता।’ चिड़िया बोली, ‘हाथ में आये शत्रु को कभी मत छोड़ो।’
दूसरी बात यह कि असंभव बात पर कभी भूलकर भी विश्वाश मत करो और तीसरी यह हैं कि बीती बातों पर कभी पश्चाताप मत करो।’
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