Co-ordinate Geometry
ICSE · Class 9 · Mathematics
Complete topic list for Co-ordinate Geometry in ICSE Class 9 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
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Get startedTopics in Co-ordinate Geometry
1. Basic Ideas: Co-ordinates, Ordered Pairs, and Axes
- A pair of two numbers is used to show the position of a point.
- An ordered pair has a fixed order: (5,7) and (7,5) are different.
- The first component is the abscissa and the second component is the ordinate.
2. Quadrants and Sign Convention
- The axes divide the plane into four quadrants.
- Quadrants are named from OX in the anti-clockwise direction.
- First quadrant: both abscissa and ordinate are positive.
3. Points on the Axes
- A point on the x-axis has ordinate zero, so its form is (x, 0).
- A point on the y-axis has abscissa zero, so its form is (0, y).
- The origin is the only point common to both axes.
4. Linear Equations, Dependence, and Graphs
- If the graph of an equation is a straight line, the equation is called a linear equation.
- In an equation written with y as the subject, y is the dependent variable and x is the independent variable.
- In an equation written with x as the subject, x is the dependent variable and y is the independent variable.
Key Concepts
Central concept: Co-ordinate Geometry
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