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Co-Ordinate Geometry

NIOS · Class 10 · Maths

Complete topic list for Co-Ordinate Geometry in NIOS Class 10 Maths. Key concepts, sub-topics, and what to focus on for board exams.

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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4 Topics · NIOS Class 10 Maths

Topics in Co-Ordinate Geometry

1

1. Co-ordinate System and Basic Terms

  • The horizontal number line XOX′ is called the x-axis.
  • The vertical number line YOY′ is called the y-axis.
  • The point O where both axes intersect is called the origin.
2

2. Quadrants and Sign Conventions

  • The two axes divide the plane into four quadrants.
  • Quadrant I is XOY and has signs (+, +).
  • Quadrant II is YOX′ and has signs (−, +).
3

3. Distance Formula and Distance from Origin

  • The distance between two points is the length of the line segment joining them.
  • The distance formula is derived using Pythagoras theorem.
  • Distance between P(x1, y1) and Q(x2, y2) is found by using differences of x-coordinates and y-coordinates.
4

4. Section Formula and Mid-Point Formula

  • The section formula gives the co-ordinates of a point dividing a line segment internally in a given ratio.
  • In the section formula, the ratio m:n corresponds to AP:PB.
  • The point P(x, y) dividing AB in ratio m:n internally is found by weighted average of the endpoints.

Key Concepts

Central concept: Co-ordinate Geometry

Cartesian co-ordinate systemCo-ordinates of a pointQuadrantsDistance between two pointsSection FormulaMid-Point FormulaCentroid of a triangle

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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