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Coordinate Geometry — Revision Notes

CMAT · Quantitative Techniques & Data Interpretation

Free Coordinate Geometry revision notes for CMAT Quantitative Techniques & Data Interpretation 2026 — key concepts, formulas, and definitions for quick revision.

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A diagram illustrating the Cartesian coordinate system with X'OX as the x-axis and Y'OY as the y-axis, intersecting at the origin O. Labels for x-axis, y-axis, and origin are included.
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Revision Notes — Coordinate Geometry

Key concepts, formulas, and definitions from Coordinate Geometry for CMAT Quantitative Techniques & Data Interpretation preparation.

Key Topics to Revise

1

Cartesian Coordinate System and Basic Concepts

  • The Cartesian coordinate system uses two perpendicular axes (X-axis and Y-axis) intersecting at the origin O
  • Any point in the plane can be represented by coordinates (x, y) where x is the abscissa and y is the ordinate
  • The coordinate plane is divided into four quadrants with different sign combinations
2

Section Formula and Point Division

  • Section formula helps find coordinates of a point dividing a line segment in a given ratio
  • Internal division occurs when the point lies between the two given points
  • External division occurs when the point lies outside the line segment
3

Equations, Functions, and Their Relationships

  • An equation has the form f(x) = 0, representing equality between left and right sides
  • A function has the form y = f(x), showing relationship between variables x and y
  • Every function y = f(x) can be converted to equation f(x) = 0 by setting y = 0
4

Graphical Representation and Function Types

  • Linear functions appear as straight lines on the coordinate plane
  • Quadratic functions appear as parabolas (U-shaped or inverted U-shaped curves)
  • Cubic functions have characteristic S-shaped curves with possible local maxima and minima

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Key Concepts

A system consisting of two perpendicularFor two points P(x₁When a point (xAny expression f(x) can be writtenFunctions of the form y =

Frequently Asked Questions

What topics are covered in Coordinate Geometry for CMAT?
Coordinate Geometry is an important chapter in CMAT Quantitative Techniques & Data Interpretation. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Cartesian Coordinate System and Basic Concepts, Section Formula and Point Division, Equations, Functions, and Their Relationships, Graphical Representation and Function Types.
How important is Coordinate Geometry for CMAT?
Coordinate Geometry is a frequently tested chapter in CMAT Quantitative Techniques & Data Interpretation. Questions from this chapter appear regularly in previous year papers. There are 48 practice questions available for this chapter.
How to prepare Coordinate Geometry for CMAT?
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.

More resources for Coordinate Geometry

All 19 chapters — CMAT Quantitative Techniques & Data Interpretation Revision Notes

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