Cartesian System of Coordinates
Kerala Board · Class 12 · Mathematics
Quick revision notes for Cartesian System of Coordinates — Kerala Board Class 12 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Coordinate System Fundamentals
- Origin O(0,0) is the intersection of X-axis and Y-axis
- Point P(x,y): x = abscissa (horizontal distance), y = ordinate (vertical distance)
- Quadrant signs: I(+,+), II(-,+), III(-,-), IV(+,-)
Distance Formula and Applications
- Distance formula derived using Pythagoras theorem
- Always gives positive value regardless of point order
- Used to prove geometric properties: equilateral, isosceles, right triangles
Section Formula and Midpoint
- Internal division: Point lies between given points
- External division: Point lies outside the line segment
- Midpoint is special case of internal division in ratio 1:1
Area of Triangle using Coordinates
- Area formula derived using coordinate geometry concepts
- Always take absolute value for positive area
- Can be expressed as determinant form for easy calculation
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Cartesian System of Coordinates covers several key topics that are frequently asked in Kerala Board Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.in
- 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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Applications Of Derivatives – Tangents and Normal
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