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.
SHOWS ABCD 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,
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
• 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
26. 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.
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
MULTIPLICATION
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
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
•
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.
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.
