support study material - Brilliant Public School Sitamarhi

... If the lines coincide, then there are infinitely many solutions. The pair of equations is consistent. Each point on the line will be a solution. ...

... If the lines coincide, then there are infinitely many solutions. The pair of equations is consistent. Each point on the line will be a solution. ...

TRAPEZOIDAL APPROXIMATION OF FUZZY NUMBERS

... branches in Mathematics. Fuzzy Mathematics may be regarded as a parallel to the classic Mathematics or as a natural continuation of the latter, but, in most cases, it is considered a new Mathematics, very useful in solving problems expressed through a vague language. The promoter of the fuzzy sets t ...

... branches in Mathematics. Fuzzy Mathematics may be regarded as a parallel to the classic Mathematics or as a natural continuation of the latter, but, in most cases, it is considered a new Mathematics, very useful in solving problems expressed through a vague language. The promoter of the fuzzy sets t ...

STUDY MATERIAL SUBJECT : MATHEMATICS CLASS X

... questions carrying one, two , three, four marks are given. Revise them. After revision of all the units, solve the sample paper, and do self assessment with the value points. Must study the marking scheme/solution for CBSE previous year paper which will enable you to know the coverage of content ...

... questions carrying one, two , three, four marks are given. Revise them. After revision of all the units, solve the sample paper, and do self assessment with the value points. Must study the marking scheme/solution for CBSE previous year paper which will enable you to know the coverage of content ...

4-RSA

... • Problem: We have a number of objects, but we do not know exactly how many. If we count them by threes we have two left over. If we count them by fives we have three left over. If we count them by sevens we have two left over. How many objects are there? ...

... • Problem: We have a number of objects, but we do not know exactly how many. If we count them by threes we have two left over. If we count them by fives we have three left over. If we count them by sevens we have two left over. How many objects are there? ...

Preparation from Question Banks and Practice... School level Quiz Competition

... after every year. If he gets Rs. 6000 after 5 years. Find his annual increment, ...

... after every year. If he gets Rs. 6000 after 5 years. Find his annual increment, ...

Solving Triangles

... 4. Point D is on side AB of triangle ABC; with \ACD = \BCD = 60 , AC = 5; and BC = 15. Find the length of line segment CD. Solution: It is part of the problem to come up with a picture that depicts the data. Sometimes that is not easy and takes several attempts. However, a good picture is often an e ...

... 4. Point D is on side AB of triangle ABC; with \ACD = \BCD = 60 , AC = 5; and BC = 15. Find the length of line segment CD. Solution: It is part of the problem to come up with a picture that depicts the data. Sometimes that is not easy and takes several attempts. However, a good picture is often an e ...

Number and Operations – Fractions

... 3. Miguel is making an obstacle course for field day. At the end of every sixth of the course, there is a tire. At the end of every third of the course, there is a cone. At the end of every half of the course, there is a hurdle. At which locations of the course will people need to go ...

... 3. Miguel is making an obstacle course for field day. At the end of every sixth of the course, there is a tire. At the end of every third of the course, there is a cone. At the end of every half of the course, there is a hurdle. At which locations of the course will people need to go ...

# Approximations of π

Approximations for the mathematical constant pi (π) in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning of the Common Era (Archimedes). In Chinese mathematics, this was improved to approximations correct to what corresponds to about seven decimal digits by the 5th century.Further progress was made only from the 15th century (Jamshīd al-Kāshī), and early modern mathematicians reached an accuracy of 35 digits by the 18th century (Ludolph van Ceulen), and 126 digits by the 19th century (Jurij Vega), surpassing the accuracy required for any conceivable application outside of pure mathematics.The record of manual approximation of π is held by William Shanks, who calculated 527 digits correctly in the years preceding 1873. Since the mid 20th century, approximation of π has been the task of electronic digital computers; the current record (as of May 2015) is at 13.3 trillion digits, calculated in October 2014.