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Syllabus

Coordinate Geometry — Syllabus

Madhya Pradesh Board · Class 10 · Mathematics

What Coordinate Geometry covers in Madhya Pradesh Board Class 10 Mathematics: 4 topics, for the 2026-27 session.

144 questions48 flashcards12 formulas & key relations5 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 · 2026-27

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

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Frequently Asked Questions

What are the important topics in Coordinate Geometry for Madhya Pradesh Board Class 10 Mathematics?
Key topics in Coordinate Geometry include Basic Coordinate Terms, Distance Formula, Applications of Distance Formula, Equidistant Points and Locus Idea. Study these first, then practise questions on each for the Madhya Pradesh Board Class 10 board exam.
How should I revise Coordinate Geometry for the Madhya Pradesh Board Class 10 board exam?
Learn the core ideas first, then work through the 144 practice questions on Coordinate 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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All Madhya Pradesh Board Class 10 Mathematics Syllabus

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