Chapter 3 of 42
Revision Notes
Coordinate System — Revision Notes
JEE Advanced · Mathematics
Free Coordinate System revision notes for JEE Advanced Mathematics 2026 — key concepts, formulas, and definitions for quick revision.
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Key concepts, formulas, and definitions from Coordinate System for JEE Advanced Mathematics preparation.
Key Topics to Revise
1
Rectangular Coordinate System and Quadrants
- Two perpendicular axes (x-axis horizontal, y-axis vertical) divide plane into four quadrants
- Point P(x,y): x is abscissa (distance from y-axis), y is ordinate (distance from x-axis)
- Quadrant I: (+,+), II: (-,+), III: (-,-), IV: (+,-)
2
Transformation of Axes
- Translation of axes: Origin shifted to (h,k), new coordinates X = x-h, Y = y-k
- Rotation of axes: Axes rotated by angle θ about origin
- For rotation: X = x cos θ + y sin θ, Y = -x sin θ + y cos θ
3
Distance Formula and Applications
- Distance between P(x₁,y₁) and Q(x₂,y₂): d = √[(x₂-x₁)² + (y₂-y₁)²]
- Distance from origin to point (x,y): √(x² + y²)
- For collinear points: distances satisfy triangle inequality as equality
4
Area of Polygons
- Area of triangle with vertices (x₁,y₁), (x₂,y₂), (x₃,y₃): ½|x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)|
- Determinant form: Area = ½|determinant of 3×3 matrix|
- For collinear points, area = 0
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Key Concepts
A system using two perpendicular axesThe distance between two points A(x₁For a point P dividing lineArea of triangle with vertices (x₁Slope m = tan θ where
Frequently Asked Questions
What topics are covered in Coordinate System for JEE Advanced?
Coordinate System is an important chapter in JEE Advanced Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Rectangular Coordinate System and Quadrants, Transformation of Axes, Distance Formula and Applications, Area of Polygons.
How important is Coordinate System for JEE Advanced?
Coordinate System is a frequently tested chapter in JEE Advanced Mathematics. Questions from this chapter appear regularly in previous year papers. There are 53 practice questions available for this chapter.
How to prepare Coordinate System for JEE Advanced?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.
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