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•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.
SHOWSABCD 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.
CHAPT
ERINT
RO..
CHARECTERS USED
• ANGRY BIRDS
• POOH & WINNEY
• GANESHA
• CHOTTA BHEEM
• MIKKEY MOUSE
• BEN TEN
• SPIDERMAN
• CARS
• TOM& JERRY
POLYNOMIALS
• POLYNOMIALSARE LET X =
VARIABLE ,NBE A POSITIVE
INTEGER AND A ,B...........AN
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 ,WHEREA,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
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
• 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
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 MARKER
SCALE
COMPASS
DIVIDER
PROCTER
GEOMETRY
CARTOONS
COLOURED 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
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
• 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
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

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Maths Project Presentation Guide

  • 6. 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
  • 7. 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
  • 8. 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 .
  • 9. 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.
  • 11. CHAPTER 6 1 THE DIAGONALS A QUADRATIC ABCD INTERSECT EACH OTHER AT THE POINT o SUCH THAT AO/BO = CO /DO. SHOWSABCD IS A TRAPEZIUM. 2 IF THE AREAS OF TWO SIMILIAR TRIANGLES ARE EQUAL .
  • 12. 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]
  • 13. 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
  • 14. 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.
  • 15. 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.
  • 17. 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.
  • 18. 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.
  • 19. 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.
  • 20. 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.
  • 21. 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.
  • 22. 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.
  • 24. CHARECTERS USED • ANGRY BIRDS • POOH & WINNEY • GANESHA • CHOTTA BHEEM • MIKKEY MOUSE • BEN TEN • SPIDERMAN • CARS • TOM& JERRY
  • 25. POLYNOMIALS • POLYNOMIALSARE LET X = VARIABLE ,NBE A POSITIVE INTEGER AND A ,B...........AN BE CONSTENTS THEN IS CALLED POLYNOMIALS • TYPES OF POLYNOMIALS QUARADTIC POLYNOMIALS CUBIC POLYNOMIALS LINEAR POLYNOMIALS BI -QUARADIC POLYNOMIALS . POPLYNOMIALS ALSO HAVE DEGREES
  • 26. PAIR OF LINEAR EQUATIONS IN TWO VARIABLE • EQUATIONS ALSO PUT IN THE FORM OF AX+BY+C=0 ,WHEREA,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.
  • 27. • 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
  • 28. 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
  • 29. • 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
  • 30. 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.
  • 31. 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
  • 32. 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. •
  • 33. 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.
  • 34. • 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.
  • 35. 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
  • 36. 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.
  • 37. TOOLS USED • THERE ARE MANY TOOLS USED BY US SOME IF THESE ARE- • PENCIL • EREASER • SHARPNER • PEN • SKETCH PEN • GLITTER PEN • CRYONS • WATER COLOUR
  • 39. 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
  • 40. WORK DITRIBUTION • NAME WORK • BIR ESSENTIAL QUESTIONS • KAPIL CHAPTTER-10 • MUKUL HISTORICAL BACKGROUND • NISHANT HISTORICAL BACKGROUND • PRAVEEN CHAPTER-3
  • 41. • 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
  • 42. • 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
  • 43. 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.
  • 44. BIBILOGRAPHY • HEY MATHS LAB • MINI MATHS LIBRARY • SCHOOL LIBRARY • OXFORD DICTIONARY • SELF LEARNING WITH SSINGH.COM • WWW.PB WORKS.COM •
  • 45. REFRENCES • N.C.E.R.T. • R.D. SHARMA • R.S. AGGARWAL • U LIKE • J.P.H. • INTERNET • TOGETHER WITH
  • 46. 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
  • 47. 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.
  • 48. 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.
  • 49. 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.
  • 51. POWER POINT MADE BY • RISHABH , VIBHOR AND UTTKARSH