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Chapter 19 of 26
Chapter Summary

Co-Ordinate Geometry

NIOS · Class 10 · Maths

Summary of Co-Ordinate Geometry for NIOS Class 10 Maths. Key concepts, important points, and chapter overview.

38 questions28 flashcards5 concepts

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A labeled diagram showing the XOX' and YOY' axes, origin, and four quadrants in a Cartesian coordinate system.
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Overview

Co-ordinate geometry studies how points are located in a plane using an ordered pair of numbers. The x-axis is the horizontal number line, the y-axis is the vertical number line, and their intersection is the origin with co-ordinates (0, 0). A point is written as P(x, y), where x is the distance fro

Key Concepts

The two perpendicular axes

The two perpendicular axes, XOX′ and YOY′, form the rectangular co-ordinate system. The x-axis is horizontal and the y-axis is vertical. Their interse

A point P(x

A point P(x, y) has two co-ordinates. The first number, called the abscissa, gives the distance from the y-axis. The second number, called the ordinat

The axes divide the plane into

The axes divide the plane into four quadrants. Quadrant I has signs (+, +), Quadrant II has (−, +), Quadrant III has (−, −), and Quadrant IV has (+, −

The distance between P(x1

The distance between P(x1, y1) and Q(x2, y2) is PQ = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}. This is also a direct use of the right triangle formed by horiz

The distance of (x1

The distance of (x1, y1) from the origin is \sqrt{x1^2 + y1^2}.

Learning Objectives

  • Locate points in a plane using rectangular co-ordinates
  • Identify the x-axis, y-axis, origin, and quadrants
  • Find the distance between two points in a plane
  • Find the distance of a point from the origin
  • Find the co-ordinates of a point dividing a line segment internally in a given ratio

Frequently Asked Questions

What are the important topics in Co-Ordinate Geometry for NIOS Class 10 Maths?
Key topics in Co-Ordinate Geometry include Coordinate Geometry Concepts Overview, Co-ordinate Geometry Concept Map, Coordinate Geometry Concepts Overview. These are the concepts NIOS Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Co-Ordinate Geometry — NIOS Class 10 Maths?
Understand the core concepts first, then work through the 38 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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