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Coordinate Geometry — Study Plan

XAT · Quantitative Ability & Data Interpretation

Step-by-step Coordinate Geometry study plan for XAT Quantitative Ability & Data Interpretation 2026 — structured month-wise approach to mastering this chapter.

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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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How to Study Coordinate Geometry

A structured approach to studying Coordinate Geometry for XAT Quantitative Ability & Data Interpretation.

Study Plan for Coordinate Geometry

1

Day 1–2: Learn the Theory

Study the chapter thoroughly. Note down definitions, formulas, and key concepts.

2

Day 3: Practice Problems

Solve practice questions and previous year XAT problems. There are 48 questions available for this chapter.

3

Day 4: Revise & Test

Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding.

What to Focus On

  • Origin is the point (0, 0) where both axes intersect
  • x-coordinate is called abscissa, y-coordinate is called ordinate
  • The plane is divided into four quadrants

  • Distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
  • Distance is always positive
  • Based on Pythagorean theorem

  • Internal division: coordinates = (mx₂ + nx₁)/(m + n), (my₂ + ny₁)/(m + n)
  • External division: coordinates = (mx₂ - nx₁)/(m - n), (my₂ - ny₁)/(m - n)
  • Midpoint formula when m = n = 1: ((x₁ + x₂)/2, (y₁ + y₂)/2)

Common Mistakes to Avoid

The distance formula gives the same result regardless of which point is taken as (x₁, y₁) and which as (x₂, y₂)

In the section formula, the ratio m:n means the point divides the line segment into exactly m and n equal parts

The midpoint formula is just a special case that can be derived by setting m = n = 1 in the section formula

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Frequently Asked Questions

What topics are covered in Coordinate Geometry for XAT?
Coordinate Geometry is an important chapter in XAT Quantitative Ability & 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 XAT?
Coordinate Geometry is a frequently tested chapter in XAT Quantitative Ability & 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 XAT?
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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All 19 chapters — XAT Quantitative Ability & Data Interpretation Study Plan

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