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Coordinate Geometry

Madhya Pradesh Board · Class 10 · Mathematics

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

144 questions48 flashcards5 concepts

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A labeled diagram showing the x-axis, y-axis, origin, and a point (x, y) in the first quadrant, illustrating the basic setup of a Cartesian coordinate system.
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4 Topics · Madhya Pradesh Board Class 10 Mathematics

Topics in Coordinate Geometry

1

1. Basic Coordinate Terms

  • The x-coordinate of a point is called the abscissa.
  • The y-coordinate of a point is called the ordinate.
  • The abscissa is the distance of a point from the y-axis.
2

2. Distance Formula

  • Distance between two points on the x-axis is found by subtracting their x-values.
  • Distance between two points on the y-axis is found by subtracting their y-values.
  • The distance formula for two general points is derived using the Pythagoras theorem.
3

3. Applications of Distance Formula

  • If the sum of any two sides of three points is greater than the third, the points form a triangle.
  • For points (3, 2), (-2, -3), and (2, 3), the distances are PQ = √50, QR = √52, and PR = √2.
  • These points form a right triangle because PQ² + PR² = QR².
4

4. Equidistant Points and Locus Idea

  • A point equidistant from two given points lies on the perpendicular bisector of the segment joining them.
  • For points (7, 1) and (3, 5), the relation between x and y for an equidistant point is x - y = 2.
  • A point on the y-axis has the form (0, y).

Key Concepts

Central concept: Coordinate Geometry links algebra and geometry through points, distances, and division of line segments on a coordinate plane.

Coordinate axes and point locationDistance between pointsApplications of distance formulaSection formulaSpecial division problemsGraphical significance

Frequently Asked Questions

What are the important topics in Coordinate Geometry for Madhya Pradesh Board Class 10 Mathematics?
Key topics in Coordinate Geometry include Coordinate Geometry — Complete Formula Map, Coordinate Geometry – Chapter Overview, Coordinate Geometry – Formula Overview. These are the concepts Madhya Pradesh Board Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Coordinate Geometry — Madhya Pradesh Board Class 10 Mathematics?
Understand the core concepts first, then work through the 144 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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All 16 chapters — Madhya Pradesh Board Class 10 Mathematics Syllabus

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