•MATHS POWER POINT PRESENTATION

• OUR MATHS TEACHER

•SUSHMA SINGH MAM

RAJKIYA PRATIBHA VIKAS VIDYALAYA

CLASS AND STANDERD 10-B

GROUP -2

MEMBERS LIST

NAME ROLL NO.

• 1. BIR 7

• 2. KAPIL 11

• 3.MUKUL 15

• 4. NISHANT 17

• 5.PARVEEN 18

• 6.PRADEEP 19

• 7.RAHUL KUMAR20• 8.RAHUL TIMILSINA

21• 9.RISHABH

22• 10.ROHIT

23• 11.ROSHNI

24• 12.SAURABH

26• 13.SONU

27• 14.SUNITA

28• 15.SUPRIYA

29• 16.UTTKARSH

31• 17.VARSHA

32• 18.VIBHOR

33

CHAPTERS NAME

• CHAPTER-2 : POLYNOMIALS• CHAPTER-3 : LINEAR

EQUATIONS IN TWO VARIABLES• CHAPTER-6 : TRIANGLES• CHAPTER-7 : COORDINATE

GEOMETRY• CHAPTER-10 : CIRCLES• CHAPTER-12 : AREAS RELATED

TO CIRCLES • CHAPTER-14 : STATISTICS

ACKNOWLEDGEMENT

• mathematics is a very important part in our life . as we all know we all feel the need of mats in our daily life itin today. every great experince requires the help & suppuort of many people for it to be truly good. we would like totake the opputunity of making all those who extende of helping hand. we offer our to our group members we thank all

.

INTRODUCTION

• firstly we all want to thanks our claas teacher mrs sushma singh mam. our aim is differnent like the others project we have given 7 textbook chapters .

• polynomial,pair of linear equtqtion in two variables,triangles,circels,area related to circle,statatics.

•ESSENTIAL•QUESTIONS

CHAPTER 6

1 THE DIAGONALS A QUADRATIC ABCD INTERSECT EACH OTHER AT THE POINT o SUCH THAT AO/BO = CO /DO. SHOWS ABCD IS A TRAPEZIUM.

2 IF THE AREAS OF TWO SIMILIAR TRIANGLES ARE EQUAL .

CHAPTER 7

• FIND THE DITANCE BETWEEN

• 1 [2,3],{4,1} • 2 {-5,7},{-1,-3]

Q FIND THE POINTS ON X AXIS

1 [2,-5] ,[-2,9]

CHAPTER 10

• Q HOW MANY TAGENTS CAN A CIRCLE HAVE?

• PROVE THAT CIRCLES TANGENT DRAW AT THE END OF A DIAMETER OF A CIRCLE & PARLLEL?

• A QUADRILATERL ABCD IS DRAWN TO CIRCUMSCRIBE A CIRCLE PROVE THAT

• AB+CD = AD+BC

CHAPTER 12

• FIND THE AREA OF THE CIRCLE WITH RADIUS 6 cm IF ANGLE OF THIS SECTOR IS 60.

• FIND THE AREA OF QUADRANT WHOSE CIRCUMFRENCE IS 2.2cm.

POLYNOMIAL

• In mathematics, a polynomial is an expression that is constructed from one or more variables and constants, using only the operations of addition, subtraction, multiplication, and constant positive whole number exponents.

HISTORICAL BACKGROUND

PAIR OF LINEAR EQUATION IN TWO VARIABLE• A common form of a linear equation in the two

variables x and y is

• where m and b designate constants (parameters). The origin of the name "linear" comes from the fact that the set of solutions of such an equation forms a straight line in the plane. In this particular equation, the constant m determines the slope or gradient of that line, and the constant term b determines the point at which the line crosses the y-axis, otherwise known as the y-intercept.

TRIANGLES

• The rows of Pascal's triangle are conventionally enumerated starting with row n = 0 at the top. The entries in each row are numbered from the left beginning with k = 0 and are usually staggered relative to the numbers in the adjacent rows. A simple construction of the triangle proceeds in the following manner. On row 0, write only the number 1.

COORDINATE GEOMATRY

• The coordination geometry of an atom is the geometrical pattern formed by atoms around the central atom.

• In the field of inorganic coordination complexes it is the geometrical pattern formed by the atoms in the ligands that are bonded to the central atom in a molecule or a coordination complex. The geometrical arrangement will vary according to the number and type of ligands bonded to the metal centre, and to the coordination preference of the central atom, typically a metal in a coordination complex. The number of atoms bonded, (i.e. the number of σ-bonds between central atom and ligands) is termed the coordination number. The geometrical pattern can be described as a polyhedron where the vertices of the polyhedron are the centres of the coordinating atoms in the ligands.

CIRCLES

• A circle is a simple shape of Euclidean geometry that is the set of all points in a planethat are at a given distance from a given point, the centre. The distance between any of the points and the centre is called the radius. It can also be defined as the locus of a point equidistant from a fixed point.

• A circle is a simple closed curve which divides the plane into two regions: an interior and an exterior. In everyday use, the term "circle" may be used interchangeably to refer to either the boundary of the figure, or to the whole figure including its interior; in strict technical usage, the circle is the former and the latter is called a disk.

AREA RELATDED TO CIRCLE

• A circle is a simple shape of Euclidean geometry that is the set of all points in a planethat are at a given distance from a given point, the centre. The distance between any of the points and the centre is called the radius. It can also be defined as the locus of a point equidistant from a fixed point.

• A circle is a simple closed curve which divides the plane into two regions: an interior and an exterior. In everyday use, the term "circle" may be used interchangeably to refer to either the boundary of the figure, or to the whole figure including its interior; in strict technical usage, the circle is the former and the latter is called a disk.

STATISTICS

• History of statistics can be said to start around 1749 although, over time, there have been changes to the interpretation of the word statistics. In early times, the meaning was restricted to information about states. This was later extended to include all collections of information of all types, and later still it was extended to include the analysis and interpretation of such data. In modern terms, "statistics" means both sets of collected information, as in national accounts and temperature records, and analytical work which requires statistical inference.

• Statistical activities are often associated with models expressed using probabilities, and require probability theory for them to be put on a firm theoretical basis: see History of probability.

CHAPTERINTRO..

CHARECTERS USED

• ANGRY BIRDS • POOH & WINNEY • GANESHA • CHOTTA BHEEM• MIKKEY MOUSE• BEN TEN • SPIDERMAN• CARS• TOM& JERRY

POLYNOMIALS

• POLYNOMIALS ARE LET X = VARIABLE ,NBE A POSITIVE INTEGER AND A ,B...........A N BE CONSTENTS THEN IS CALLED POLYNOMIALS

• TYPES OF POLYNOMIALS

QUARADTIC POLYNOMIALS

CUBIC POLYNOMIALS

LINEAR POLYNOMIALS

BI -QUARADIC POLYNOMIALS

. POPLYNOMIALS ALSO HAVE DEGREES

PAIR OF LINEAR EQUATIONS IN TWO VARIABLE

• EQUATIONS ALSO PUT IN THE FORM OF AX+BY+C=0 ,WHERE A,B,C ARE REAL NO. AND A,B ARE NOT BOTH ZERO IS CALLED A LENAIR EQUATIONS IN TWO VARIABLES X,Y.

• EQUATIONS HAVING TWO VARIABLES ARE CALLED PAIR OF LINEAR EQUATION IN TWO VARIABLES.

• EQUATIONS CAN BE REPRSENTED GRAPHICALY.

• THERE ARE THREE TYPES OF EQUATIONS

INFINITE MANY SOLUTIONS

UNIQUE SOLUTION NO SOLUTION .THERE ARE THREE TYPES

OF ALAGEBRAIC METHODS

SUBSTITUTION METHOD ELIMINATION METHOD CROSS MULTIPLICATION

METHOD

TRIANGLES

• ALL THE CONGEREUNT FIGURES ARE SIMILAR BUT THE CONVERCE IS NOT TRUE.

• TWO FIGURE HAVING THE SAME SHAPE BUT NOT NECESSARILY THE SAME SIZE ARE CALLED SIMILAR FIGURES.

• TWO POLYGON OF THE SAME NO. OF SIDES ARE SIMILAR WHEN-THEIR CORRESPONDING ANGLES ARE EQUAL AND THEIR CORRESPONDING SIDES ARE ON THE SAME RATIOS.

• IF A LINE DRAWN THROUGH PARALLEL TO ONE SIDE OF A TRIANGLE TO INTERSECT THE OTHER TWO SIDES IN DISTINCT POIUNTS ,THENTHE OTHER TWO SIDES ARE DIVIDE IN THE SAME RATIOS

• IF A LINE DIVIDE ANY TWO SIDES OF A TRIANGLES IN THE SAME RAIOS THEN THE LINE IS IS PARALLEL TO THE THIRD SIDE

• IN A RIGHT TRIANGLE THE SQUARE OF THE HYPOTENIOUS IS EQUAL TO THE OTHER TWO SIDES

COORDINATE GEOMATRY

• THE DISTANCE OF A POINT FROM y-AXIS IS CALLED ABBISCA.

• THE DISTANCE OF A POINT FROM THE x AXIS IS CALLED ORDINATE.

• THE DISTANCE BETWWEN THE POINT IS KNOWN AS DISTANCE FORMULA.

CIRCLES

CIRCLE IS A COLECTION OF ALL POINTS IN A PLAIN WHICH ARE AT A COSTANT DISTANCE FROM A FIXED POINT.

VARIOUS TERMS RELATED TO A CIRCLE LIKE CORD,SEGMANT, SECTOR,ARC ETC...

A TAGENT TO A CIRCLE IS A LINE THAT INTERSECTS THE CIRCLE AT ONLY ONE POINT.

THE TAGENT TO A CIRCLE ISA SPECISL CASE OF THE SECANT WHEN THE TWO AND POINT OF ITS CORRESPONDING CHORD COINCIDE.

CIRCLES

• THE TAGENT TO A CIRCLE IS PERPEDICULAR RADIUS THROUGH THE POINT OF CONTACT.

• THE LENGHT OF THE 2 TAGENTS FROM AN EXTERNAL POINT TO A CIRCRE ARE EQUAL.

•

AREA RELATED TO CIRCLE

• THE CIRCLE HAVE PERIMETER AND AREA.• THE PERIMETER OF CIRCLE IS USEALLY

CALLED CIRUMFRENCE. • THE CIRCUMFRENCE OF THE CIRCLE IS

CONTACED WITH RATIO AND ITS DIAMETER .

• THE MATHEMATISION ARYABHATT DISCOVER THE FORMULA OF PIE.

• NOW IN 1887 AND 1920 OF INDIAN MATHEMATISION HAVE BEEN ABLE TO CALCULATE THE VALUE OF PIE.

• PIE IS A IRRATIONAL NO. AND ITS DESIMAL EXPANSION IS NON - TERMINATING AND NON- RECURING AND NON- REPITING.

• ARYABHATA TOLD THE VALUE OF PIE . HE STARTED THAT PIE AS 62832/20000, WHICH IS NEARLY EQUAL TO 3.1416 OR 22/7.

STATISTIC

• THERE ARE THREE TYPES OF METHOD TO FIND MEAN-

• 1 STEP DIVISION METHOD

• 2 ASSUMED METHOD• THE FORMULA TO FIND

THE MEDIAN IS-

L+((N/2)+CF/F)H

THE FORMULA TO FIND THE MODE IS -

L+(F1-F0/2F1-F0-F2)H

3. IN OUR PROJECT WE FIRST DIVIDE EQUAL WORK TO EACH STUDENT ON COLORED SHEET .

4. OUR GROUP MEMBER HELP EACH OTHER AND THE THINGS WHICH IS NOTUNDERSTAND BY THE STUDENT THEY ARE HELPED BY OTHERES.

5. THEN WE COLLECT ALL THE WORK FROM ALL OUR GROUP MEMBERS AND ASSEMBEL IT .

6. WE SUBMIT IT TO OUR MATHS TEACHER AT TIME.

TOOLS USED

• THERE ARE MANY TOOLS USED BY US SOME IF THESE ARE-

• PENCIL

• EREASER• SHARPNER • PEN• SKETCH PEN • GLITTER PEN• CRYONS• WATER COLOUR

BOLD MARKERSCALECOMPASSDIVIDER

PROCTERGEOMETRYCARTOONSCOLOURED SHEETS ,

ETS.

PRODUCT MILESTONE

• THE PRODUCT OF OUR PROJECT IS UNDER-• 1 FROM THIS WE GET LOT OF KNOWLEDGE

WHICH IS ABOUT INTERNET AND MATHS WHITCH IS VERY IMPORTANT IN OUR FUTURE.

• 2 FROM THIS WE KNOW ABOUT MEMBERSHIP AND HOW TO MAKE A PROJECT.

• 3 HOW WE HELP EACH OTHER IN MAKING PROJECT AND ABOUT LEADERSHIP.

WORK DITRIBUTION

• NAME WORK

• BIR ESSENTIAL QUESTIONS

• KAPIL CHAPTTER-10

• MUKUL HISTORICAL BACKGROUND

• NISHANT HISTORICAL BACKGROUND

• PRAVEEN CHAPTER-3

• PRADEEP CH-12,WORK BREAK DOWN,DECORATION

• RAHUL KR. TOOLS USED• RAHUL T. CHAPTER-7 • RISHABH JAIN

PPT ,METHDOLOGY ,

DECORATION,CH. ,CONCLUSION

• ROHIT CH-10 , DECO.• SAURABH REFERENCE• SONU CH-2,

LIMITATION

• SUPRIYA AIM , CH-14

• ROSHNI INTRO., ACKN.

• SUNITA BIBLOGRAPHY

• VARSHA CH-6• UTTKARSH CH-

10,MEMBER LIST,

PRODUCT,WORK COLL.• VIBHOR

PPT,WORK COLLECTION WORK

DISTRIBUTION

UNDERSTANDING

LIMITATIONS

Limitation of our project is not very big. some limitation of our project are as under :

• we can make this project more simpler and thinkable.• our group members have done a massive of work but

some the matter has been left out.• the power of our project is not much higher than our

expectations.• we have completed some of our limitations but some

limitations were beyond of our limitations.• some limitations have been completed by our maths

class teacher MRS. SUSHMA SINGH MAM.

BIBILOGRAPHY

• HEY MATHS LAB • MINI MATHS LIBRARY• SCHOOL LIBRARY• OXFORD DICTIONARY

• SELF LEARNING WITH

SSINGH.COM• WWW.PB

WORKS.COM

•

REFRENCES

• N.C.E.R.T.• R.D. SHARMA• R.S. AGGARWAL • U LIKE • J.P.H.• INTERNET• TOGETHER WITH

ABSTRACT & GIST

• FIRST WE STUIDED ALL CHAPTERS & MADE THE COMICS THEN WE MADE FRONT PAGE,MEMBER LIST,CHAPTERS NAME, WORK DISTRIBUTION ETC..IN TOOL USED WE WROTE PENCIL ERASER COLOURS ETC..IN INTRODUCTION WE WROTE THAT HOW MANY MEMBERS WHAT ARE THE CHAPTERS AND WHAT IS WORK DISTRIBUTION.WE HAVE USED A MANY NUMBERS OF THINGS IN OUR PROJECT WHICH AL CAN NOT BE LISTED HERE.

LIMITATIONS

• LIMIATION OF OUR PROJECT IS NOT VERY BIG BUT SOME LIMITATION ARE BEYOND OUR LIMIT .SOME LIMITATION ARE AS UNDER-

• 1 WE CAN MAKE THIS PROJECT MORE SIMPLER AND MORE THINKABLE .

• 2 OUR GROUP MEMBER DONE MASSIVE OF WORK BUT SOME THE MATTER HAS BEEN LEFT OUT.

3 THE POWER OF OUR PROJECT IS NOT MUCH HIGHER THAN OUR EXPECTATION.

4 WE HAVE COMPLETED SOME OF OUR LIMITATION BU SOME LIMITATION ARE BEYOND OF OUR LIMITATION.

5 SOME LIMITATION HAVE BEEN COMPLETED BY OUR MATHS CLASS TEACHER MRS. SUSHMA SINSH MAM.

CONCLUSION

• IN THE COCLUSION PART WE ARE VERY THANK FULL TO OUR MATHS TEACHER Mrs SUSHMA SINGH.SHE WAS VERY HELPFUL IN MAKING THE PROJECT WITHOUT THE HELP OF MAM WE WOULD NOT BE ABLE TO COMPLETE OR EVEN COULD NOT MAKE TO START THIS PROJECT. THE MASSIVE OF WORK IS DONE BY OUR GROUP MEMBERS AND OUR SCHOLLS TEACHER SPECIALLY MATHS. WE ARE ALL REALY THANK FULL TO ALL STUDENTS AND TEACHERS.

REMARKS

POWER POINT MADE BY

• RISHABH , VIBHOR AND UTTKARSH