Description
Cartesian system
Rene Descartes developed this system of describing the position of a point in a plane which is also known as the Cartesian system. The position of any point lying in a plane can be represented with the help of two perpendicular lines.
Dependent and Independent Variables
In linear equation of the form: 3x + y = 5, x – 3y + 8 = 0, x = 5y – 8 etc. The letters ‘x’ and ‘y’ are called variables. If a linear equation in x and y is expressed with y as the subject of the formula (equation), y is called the dependent variable, and x is called the independent variable.
An ordered pair is the pair of two objects which occur in a particular order i.e. in which the order of object is important. (6, 8) and (8, 6) are two different ordered pairs.
Important points:
1. In an ordered pair (a, b), ‘a’ is called the first component, and b is called the second component of the ordered pair.
2. The components of ordered pairs may be the same e.g. (3, 3), (a, a), etc.
3. (a, b) and (b, a) are not the same.
4. Two ordered pairs are equal is they have the same (equal) first components and the same second component. (7, 10) = (7, 10)
GRAPHICAL SOLUTION
System of Simultaneous Linear Equation
A pair of linear equations in the same two variables form a system of simultaneous linear equation.
They are satisfied by the same pair of values of the two variables.
Two linear equations can have either only one solution, no solution or infinite solution.
DISTANCE FORMULA
Distance from different points:
X-coordinate or abscissa: The distance between a point and y-axis.
Y-coordinate or ordinate: The distance between a point and x-axis.§Form of a point on the x-axis: (x, 0); on the y-axis: (0, y)
A linear equation, ax + by + c = 0, (a, b≠zero), when represented graphically is a straight line.
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LevelIntermediate
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Total Enrolled2
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Last UpdatedFebruary 12, 2024
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CertificateYes
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Material Includes
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Live Interactive classes with in-class doubt solving
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Weekly Test and Quiz with instant tracking for progress
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Revision of the course after testing
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Fortnightly Parents and Tutor interactions
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Expert monitoring of student's learning progress
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Daily communication over call, whatsapp and mail
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3 hours on-demand video
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4 downloadable resources
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Access for entire Academic Year
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Access on mobile and Desktop
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Assignments and review of the same
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Tests and Correction by Board paper checkers
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Certificate of completion and Live tracking with Grade book
Course Duration:
0
Course level:Intermediate
Enrolled:2
About Course
In this section will learn the following chapters;
1.Cartesian system
2.GRAPHICAL SOLUTION
3.DISTANCE FORMULA
Course Curriculum
GRAPHICAL SOLUTION
Solution of Simultaneous Linear Equations graphically
CO-ORDINATE GEOMETRY
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12:03
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05:14
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12:48
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08:12
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12:29
DISTANCE FORMULA – PROBLEMS BASED ON DISTANCE FORMULA
Finding the distance between two coordinates
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17:19
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04:51
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11:18
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08:19
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QUIZ – DISTANCE FORMULA
ADDITINAL MATERIAL
ASSIGNMENT AND DUE DATES
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QUESTION KEY – COORDINATE GEOEMTRY
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QUESTION KEY – COORDINATE GEOEMTRY – WORKSHEET – SET AAssignments
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QUESTION KEY – IX – MATHS – COORDINATE GEOMETRY -14012024
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