Class 10 Maths — Chapter 7: Coordinate Geometry

What you'll learn

• ▸Review of Cartesian Coordinate System
• ▸The Distance Formula
• ▸Distance of a Point from the Origin
• ▸Application: Identifying Types of Triangles
• ▸Application: Verifying Collinearity of Points
• ▸Application: Identifying Types of Quadrilaterals

Chapter Summary

--- PAGE 1 --- COORDINATE GEOMETRY 7 7.1 Introduction In Class IX, you have studied that to locate the position of a point on a plane, we require a pair of coordinate axes. The distance of a point from the y-axis is called its **x-coordinate**, or **abscissa**. The distance of a point from the x-axis is called its **y-coordinate**, or **ordinate**. The coordinates of a point on the x-axis are of the form (x, 0), and of a point on the y-axis are of the form (0, y). Here is a play for you. Draw a set of a pair of perpendicular axes on a graph paper. Now plot the following points and join them as directed: Join the point A(4, 8) to B(3, 9) to C(3, 8) to D(1, 6) to E(1, 5) to F(3, 3) to G(6, 3) to H(8, 5) to I(8, 6) to J(6, 8) to K(6, 9) to L(5, 8) to A. Then join the points P(3.5, 7), Q (3, 6) and R(4, 6) to form a triangle. Also join the points X(5.5, 7), Y(5, 6) and Z(6, 6) to form a triangle. Now join S(4, 5), T(4.5, 4) and U(5, 5) to form a triangle. Lastly join S to the points (0, …

Practice Questions from this Chapter

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1. Explain real-world coordinate uses? Get Solution →
2. Graph my name on axes? Get Solution →
3. Calculate distance between faraway cities? Get Solution →
4. What is another name for the x-coordinate of a point? Get Solution →
5. What is the general form of the coordinates for any point on the y-axis? Get Solution →
6. Which mathematical theorem is the foundation for the distance formula in coordinate geometry? Get Solution →
7. What is another name for the y-coordinate of a point? Get Solution →
8. A graphical representation of a linear equation in two variables, `ax + by + c = 0`, is a what? Get Solution →

Did you know?

• 💡 René Descartes developed coordinate geometry by watching a fly on his ceiling.
• 💡 GPS systems use coordinate geometry to locate any spot on Earth precisely.
• 💡 Astronomers use celestial coordinates to accurately map the positions of stars.
• 💡 Computer graphics use coordinates to draw all the complex shapes you see on screens.
• 💡 Mathematicians can describe objects using coordinates in over ten dimensions.

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