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Revision Notes

Co-Ordinate Geometry — Revision Notes

NIOS · Class 10 · Maths

Co-Ordinate Geometry revision notes for NIOS Class 10 Maths: 4 topics in quick points. Part of the NIOS Class 10 Maths syllabus.

38 questions28 flashcards5 formulas & key relations5 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

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.

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Full Notes

Key Concepts

The two perpendicular axesA point P(xThe axes divide the plane intoThe distance between P(x1The distance of (x1

Frequently Asked Questions

What are the important topics in Co-Ordinate Geometry for NIOS Class 10 Maths?
Key topics in Co-Ordinate Geometry include Co-ordinate System and Basic Terms, Quadrants and Sign Conventions, Distance Formula and Distance from Origin, Section Formula and Mid-Point Formula. Study these first, then practise questions on each for the NIOS Class 10 board exam.
How should I revise Co-Ordinate Geometry for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 38 practice questions on Co-Ordinate Geometry. Revise 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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