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Knowledge
This chapter explores the fundamentals of coordinate geometry, focusing primarily on the distance between points and the section formula for dividing line segments. It emphasizes the relationship between algebra and geometry through various examples and concepts, such as forming triangles and determining collinearity among points. The introduction of key formulas and the exploration of real-life applications exemplify the significance of coordinate geometry in numerous fields.
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Sections
References
NCERT Study MaterialClass Notes
Memorization
What we have learnt
- The distance formula for tw...
- The coordinates of a point ...
- The mid-point of a line seg...
Final Test
Revision Tests
Chapter FAQs
What we have learnt
- The distance formula for two points P(x1, y1) and Q(x2, y2) is given by PQ = √[(x2 - x1)² + (y2 - y1)²].
- The coordinates of a point P, which divides a line segment joining points A(x1, y1) and B(x2, y2) in the ratio m:n are derived using the section formula.
- The mid-point of a line segment can be calculated using the average of the coordinates of the endpoints.
Key Concepts
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Term: Distance Formula
Definition: A mathematical equation used to determine the distance between two points in a coordinate plane.
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Term: Section Formula
Definition: A formula used to find the coordinates of a point that divides a line segment into a specific ratio.