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Concept Maps

Coordinate Geometry — Concept Maps

Jammu & Kashmir Board · Class 10 · Mathematics

4 concept maps of Coordinate Geometry for Jammu & Kashmir Board Class 10 Mathematics, each also written out as a text outline.

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 Concept Maps

Coordinate Geometry — Complete Formula Map

Coordinate Geometry — Complete Formula Map

The map in words

  • Coordinate Geometry
    • Distance Formula
      • Two Points
        • PQ = sqrt of x2-x1 sq + y2-y1 sq
      • From Origin
        • OP = sqrt of x sq + y sq
      • On x-axis
        • Distance = abs x2 - x1
      • On y-axis
        • Distance = abs y2 - y1
    • Section Formula
      • Internal Division
        • x = m1 x2 + m2 x1 over m1 + m2
        • y = m1 y2 + m2 y1 over m1 + m2
      • Midpoint Special Case
        • Ratio 1 to 1
        • x = x1 + x2 over 2
        • y = y1 + y2 over 2
      • k to 1 Method
        • Find unknown ratio
        • Solve for k
    • Centroid of Triangle
      • G = x1+x2+x3 over 3
      • G = y1+y2+y3 over 3
    • Applications
      • Prove triangle type
        • Equilateral
        • Isosceles
        • Right-angled
      • Prove quadrilateral type
        • Square
        • Rhombus
        • Rectangle
        • Parallelogram
      • Collinearity Check
        • AB + BC = AC

Coordinate Geometry – Chapter Overview

Coordinate Geometry – Chapter Overview

The map in words

  • Coordinate Geometry
    • Distance Formula
      • Formula
        • PQ = sqrt of x2-x1 sq + y2-y1 sq
      • Special Cases
        • From Origin
        • On x-axis
        • On y-axis
      • Applications
        • Triangle Types
        • Quadrilateral Proofs
        • Equidistant Points
    • Section Formula
      • Internal Division
        • Ratio m1 to m2
        • Cross Multiplication
      • Special Cases
        • Midpoint Formula
        • Ratio k to 1
        • Trisection
      • Applications
        • Relay Tower Position
        • Unknown Endpoint
        • Median Length
    • Coordinate Plane
      • Four Quadrants
      • Axes Points
      • Origin O 0 0
    • Key Tools
      • Pythagoras Theorem
      • Similar Triangles
      • AA Similarity

Coordinate Geometry – Formula Overview

Coordinate Geometry – Formula Overview

The map in words

  • Coordinate Geometry
    • Distance Formula
      • Two Points P and Q
        • sqrt of dx squared plus dy squared
      • From Origin
        • sqrt of x squared plus y squared
      • Collinearity
        • AB plus BC equals AC
    • Section Formula
      • Internal Division
        • ratio m1 to m2
        • x equals m1x2 plus m2x1 over m1 plus m2
        • y equals m1y2 plus m2y1 over m1 plus m2
      • Midpoint Special Case
        • ratio 1 to 1
        • x1 plus x2 over 2
        • y1 plus y2 over 2
      • Trisection
        • P divides 1 to 2
        • Q divides 2 to 1
    • Area Formula
      • Triangle Vertices
        • half mod x1 bracket y2 minus y3 bracket plus dots mod
      • Quadrilateral
        • Split into two triangles
        • Area 1 plus Area 2
    • Quadrilateral Types
      • Parallelogram
        • opposite sides equal
      • Rectangle
        • opposite sides equal AND diagonals equal
      • Rhombus
        • all sides equal AND diagonals unequal
      • Square
        • all sides equal AND diagonals equal

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

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

The map in words

  • Coordinate Geometry links algebra and geometry through points, distances, and division of line segments on a coordinate plane.
    • Coordinate axes and point location
    • Distance between points
    • Applications of distance formula
    • Section formula
    • Special division problems
    • Graphical significance

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Frequently Asked Questions

What are the important topics in Coordinate Geometry for Jammu & Kashmir 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 Jammu & Kashmir Board Class 10 board exam.
What do the concept maps for Coordinate Geometry show?
The 4 maps show how the ideas in Coordinate Geometry connect: Coordinate Geometry — Complete Formula Map; Coordinate Geometry – Chapter Overview. Each map is also written out as an outline on this page.
How should I revise Coordinate Geometry for the Jammu & Kashmir 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.

More resources for Coordinate Geometry

All Jammu & Kashmir Board Class 10 Mathematics Concept Maps

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