Hi Aspirant!
Co-ordinate geometry is considered one of the most important sections of the mathematics. It describes the link between algebra and geometry through graphs which involves curves and lines.
I am considering your query in the context of 11th and 12th class.
Chapters considered under co-ordinate geometry are:
Kindly note that to understand the basics of 3D geometry one should learn the complete basics of 2D geometry first.
Thankyou!
Question : Comprehension:
Read the following passage and answer the questions that follow.
Indian mathematician Nikhil Srivastava, working at the University of California in Berkeley, is among the winners of the Prestigious 2021 Michael and Sheila Held Prize, announced last week by the US National Academy of Sciences (NAS). Adam W. Marcus, EPFL (Swiss Federal Institute of Technology, Lausanne), and Daniel Alan Spielman, Yale University, are the other two winners.
"Marcus, Spielman, and Srivastava solved longstanding questions on the Kadison-Singer problem and on Ramanujan graphs, and in the process, they uncovered a deep new connection between linear algebra, the geometry of polynomials, and graph theory that has inspired the next generation of theoretical computer scientists," the NAS said in a statement.
An Indian national, Nikhil was born in New Delhi in November 1983 and has attended educational institutions across the world—Syria, the UK, Saudi Arabia, and the US—as his father was an Indian Foreign Services officer, who has served as the Indian ambassador to Uganda and Denmark. At present, Nikhil is an associate professor of mathematics at UC Berkeley. The Michael and Sheila Held Prize is presented annually to honour outstanding, innovative, creative, and influential research in the area of combinatorial mathematics.
Question: In what way have the prize winners helped future theoretical computer scientists?
Option 1: They have found connections between algebra, geometry and computer science.
Option 2: They solved new problems in graph theory used in theoretical computer science.
Option 3: The new connection they have discovered has inspired future theoretical computer scientists.
Option 4: They have done innovative research on Ramanujan graphs and geometry of polynomials.
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