Chapter 13 of 14
Syllabus
Coordinate Geometry — Syllabus
Karnataka Board · Class 10 · Mathematics
What Coordinate Geometry covers in Karnataka Board Class 10 Mathematics: 4 topics, for the 2026-27 session. Topics include Basic Concepts and Coordinate.
45 questions20 flashcards4 concepts
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4 Topics · Karnataka Board Class 10 Mathematics · 2026-27
Topics in Coordinate Geometry
1
Basic Concepts and Coordinate System
- Coordinate axes consist of perpendicular x-axis (horizontal) and y-axis (vertical)
- Any point P has coordinates (x, y) where x is the distance from y-axis and y is the distance from x-axis
- Points on x-axis have form (x, 0) and points on y-axis have form (0, y)
2
Distance Formula
- Distance between two points can be found using Pythagoras theorem
- For points on same axis, distance is simply the difference of coordinates
- Distance formula works for points in any quadrants
3
Section Formula (Internal Division)
- Section formula finds coordinates of a point dividing a line segment in a given ratio
- Internal division means the point lies between the two given points
- The formula is derived using similar triangles and proportional segments
4
Special Applications and Problem Types
- Finding if three points are collinear using distance formula
- Determining types of triangles and quadrilaterals using distance formula
- Finding points on axes equidistant from given points
Key Concepts
The distance between two points P(x₁If point P divides line segmentThe midpoint of line segment joiningThree points
Work through every topic in Coordinate Geometry with notes and quizzes
Start This ChapterFrequently Asked Questions
What are the important topics in Coordinate Geometry for Karnataka Board Class 10 Mathematics?
Key topics in Coordinate Geometry include Basic Concepts and Coordinate System, Distance Formula, Section Formula (Internal Division), Special Applications and Problem Types. Study these first, then practise questions on each for the Karnataka Board Class 10 board exam.
How should I revise Coordinate Geometry for the Karnataka Board Class 10 board exam?
Learn the core ideas first, then work through the 45 practice questions on Coordinate Geometry. Revise definitions regularly and use flashcards for quick recall before the exam.
Sources & Official References
- Karnataka SSLC — kseeb.kar.nic.in
- Dept of Pre-University Education, Karnataka
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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