Coordinate Geometry — Study Plan
NMAT · Quantitative Skills
Step-by-step Coordinate Geometry study plan for NMAT Quantitative Skills 2026 — structured month-wise approach to mastering this chapter.
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A structured approach to studying Coordinate Geometry for NMAT Quantitative Skills.
Study Plan for Coordinate Geometry
Day 1–2: Learn the Theory
Study the chapter thoroughly. Note down definitions, formulas, and key concepts.
Day 3: Practice Problems
Solve practice questions and previous year NMAT problems. There are 48 questions available for this chapter.
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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