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Co-ordinate Geometry

Maharashtra Board · Class 10 · Mathematics

Complete topic list for Co-ordinate Geometry in Maharashtra Board Class 10 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

45 questions30 flashcards5 concepts

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4 Topics · Maharashtra Board Class 10 Mathematics

Topics in Co-ordinate Geometry

1

1. Distance on a Number Line and in the XY-Plane

  • Distance between P and Q on a number line is 4 when P = -1 and Q = -5.
  • Distance between Q and R on a number line is 9 when Q = -5 and R = 4.
  • For any two points in the plane, use the distance formula.
2

2. Section Formula and Midpoint Formula

  • A point dividing a segment in the ratio m:n is found using the section formula.
  • By the property of intercepts, AP/PB = CQ/QD = m/n in the construction used for the section formula.
  • If AP = 6 and PB = 10, then AP/PB = 3/5.
3

3. Centroid of a Triangle

  • D is the midpoint of BC in the centroid derivation.
  • The median AD divides the triangle in such a way that AG:GD = 2:1.
  • The centroid lies on the median.
4

4. Slope of a Line

  • For any two points on a line, the ratio (y2 - y1)/(x2 - x1) is constant.
  • Slope is generally denoted by m.
  • On line l through A(-2,-5), B(0,-2), C(2,1), D(4,4), and E(6,7), this ratio stays the same for any pair of points.

Key Concepts

Central concept: Co-ordinate Geometry

Distance on number lineDistance between points in XY planeSection formulaMidpoint formulaCentroid formulaSlope of a lineParallel lines and slopeExternal division idea

Frequently Asked Questions

What are the important topics in Co-ordinate Geometry for Maharashtra Board Class 10 Mathematics?
Co-ordinate Geometry covers several key topics that are frequently asked in Maharashtra Board 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 — Maharashtra Board Class 10 Mathematics?
Understand the core concepts first, then work through the 45 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.

More resources for Co-ordinate Geometry

All 13 chapters — Maharashtra Board Class 10 Mathematics Syllabus

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