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Co-ordinate Geometry — Revision Notes

Maharashtra Board · Class 10 · Mathematics

Co-ordinate Geometry revision notes for Maharashtra Board Class 10 Mathematics: 4 topics in quick points. Includes Distance on a Number Line, Section.

45 questions30 flashcards18 formulas & key relations5 concepts

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Key Topics to Revise

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.

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Full Notes

Key Concepts

Count the separation between two pointsFor two points A(x1For a point P(xIf P(xIf a point divides a segment

Frequently Asked Questions

What are the important topics in Co-ordinate Geometry for Maharashtra Board Class 10 Mathematics?
Key topics in Co-ordinate Geometry include Distance on a Number Line and in the XY-Plane, Section Formula and Midpoint Formula, Centroid of a Triangle, Slope of a Line. Study these first, then practise questions on each for the Maharashtra Board Class 10 board exam.
How should I revise Co-ordinate Geometry for the Maharashtra Board Class 10 board exam?
Learn the core ideas first, then work through the 45 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.

More resources for Co-ordinate Geometry

All Maharashtra Board Class 10 Mathematics Revision Notes

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