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Revision Notes

Co-Ordinate Geometry

NIOS · Class 10 · Maths

Quick revision notes for Co-Ordinate Geometry — NIOS Class 10 Maths. Key concepts, formulas, and definitions for last-minute revision.

45 questions20 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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Key Topics to Revise

1

Coordinate System and Point Location

  • Cartesian coordinate system uses two perpendicular axes (x-axis horizontal, y-axis vertical)
  • Origin O is at intersection (0,0) where both axes meet
  • Point P(x,y) means x units from y-axis and y units from x-axis
2

Distance Formula and Applications

  • Distance between two points uses Pythagoras theorem
  • Formula works for any two points regardless of quadrant
  • Distance is always positive (use absolute value)
3

Section Formula and Midpoint

  • Section formula finds coordinates of point dividing line segment in given ratio
  • Midpoint is special case when ratio is 1:1
  • Internal division means point lies between the two given points
4

Centroid of Triangle

  • Centroid is the point where three medians of triangle intersect
  • Divides each median in ratio 2:1 from vertex to opposite side
  • Coordinates are average of all three vertex coordinates

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Full Notes

Key Concepts

The coordinate plane consists of twoThe distance between two points P(x₁When point P divides line segmentThe midpoint of line segment joiningThe centroid of triangle with vertices

Frequently Asked Questions

What are the important topics in Co-Ordinate Geometry for NIOS Class 10 Maths?
Co-Ordinate Geometry covers several key topics that are frequently asked in NIOS Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Co-Ordinate Geometry — NIOS Class 10 Maths?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision 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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