Revision Notes: Class 10 Maths Chapter 7 Coordinate Geometry

Free Coordinate Geometry Class 10 notes PDF-style revision — every formula from Chapter 7 (distance formula, section formula, area of a triangle) in one place.

Last Updated: August 16, 2026

A fast, one-glance recap of Class 10 Maths Chapter 7 (Coordinate Geometry) — for full worked explanations, see the Solutions. These Class 10 Mathematics Chapter 7 notes are ideal for quick revision just before exams.

Why This Chapter Matters

Coordinate Geometry is one of the standard chapters in the CBSE/NCERT Class 10 Maths syllabus and questions from it appear regularly in board exams, in formats ranging from 1-mark objective questions to longer 3-5 mark descriptive or numerical questions. Because the concepts here often build on earlier chapters (and feed into later ones), a solid grip on this chapter also makes the rest of the Maths syllabus easier to follow.

Revision Notes: Coordinate Geometry

• Distance formula: d=√((x₂-x₁)²+(y₂-y₁)²)
• Distance from origin: √(x²+y²)
• Section formula (ratio m:n, internal): ((mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n))
• Midpoint formula (m=n): ((x₁+x₂)/2, (y₁+y₂)/2)
• Collinearity test: three points are collinear if the area of the triangle they form is 0
• Area of a triangle: ½|x₁(y₂-y₃)+x₂(y₃-y₁)+x₃(y₁-y₂)|
• Locus equidistant from two points: the perpendicular bisector of the segment joining them
• Type of quadrilateral: use all 4 sides + both diagonals together (equal sides + equal diagonals = square; equal sides only = rhombus; opposite sides equal = parallelogram)
• 2023 rationalisation: only Ex 7.1 (Distance Formula) and Ex 7.2 (Section Formula) remain as numbered exercises — the old Ex 7.3 (Area of a Triangle) and Ex 7.4 (Optional) were removed, though the area formula itself remains useful (see Extra Questions)

See also: Extra Questions (HOTS) | Formulas Handbook

How to Use These Notes

These revision notes are meant for quick recall in the last few days before an exam or unit test — they are not a substitute for first reading the full chapter and working through examples in the NCERT textbook. A good routine is: read the chapter once, solve the in-text and end-of-chapter questions using the linked Solutions, then come back to this page a day or two before the exam to refresh the key definitions and formulas without re-reading the whole chapter.

Written by Satish

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