CBSE MATHEMATICS • SELECTED CENTRAL & STATE COMPETITIVE EXAMS
AIMSSchool of MathematicsAim through AIMS

CHAPTER 1 · RESOURCES

LOCATE — Concept Note

Think first. Use AI purposefully. Verify always.

A concise revision of the approved lesson. For discovery, interaction and guided reasoning, return to the lesson.

CONCEPT

Why Do We Need Coordinates?

Key Ideas

  • Position is described relative to an agreed reference.
  • A grid uses two crossing families of lines to organise locations.
  • In a plane, one horizontal value alone does not fix the vertical position.

Formula / Property

Agree on the reference, unit spacing and order. Give the horizontal location first, then the vertical location.

Visual / Diagram

Coordinate grid with point P at (2, 3)x-axisy-axisO-5-5-4-4-3-3-2-2-1-11122334455P(2, 3)

Mini Example

On a grid measured from O, a marker is 2 units right and 3 units up. How can a friend find it?

Both pieces of information are needed: horizontal 2, vertical 3.

Common Mistake

Giving a column twice does not supply the missing row. Agree on the reference, scale and order.

Quick Recall

Two markers share column 1. One is on row 2 and one on row 4. What extra information tells them apart?

Check your reasoning

The row: 2 or 4. A shared column does not mean a shared position.