Embibe Big Book for Mathematics for Jammu and Kashmir Board Class 9

Mathematics

Coordinate Geometry

This chapter covers topics such as , Introduction to Coordinate Geometry &amp; Cartesian System, Slope and Intercepts, Graphical Solution of Linear Equations, Graph of Linear Equations in two Variables, Distance Formula and its Application.

In this topic, we will learn to describe the position of a point on more than one line with some activities and figures. It discusses the coordinate geometry by using the different types of activities. Some examples are also given here.

Introduction to Coordinate Geometry

Through this topic, we will learn to describe the location of different numbers on a number line. We will understand the concept of the Cartesian coordinate system and to write the coordinates with the help of various diagrams.

Cartesian System

This topic deals with plotting the point on a Cartesian plane with the help of various diagrams. We will learn to plot different points on a Cartesian plane. Moreover, it consists of various problems based on this concept.

Plotting a Point on the Cartesian Plane

A Textbook of Mathematics For Class 9

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Ordered Pair Corresponding to a Point

Coordinates of Different Quadrants

Quadrants in the Cartesian System

History of Coordinate Geometry

Plotting a Point in the Coordinate Plane

The X-axis in the Coordinate System

Understanding Coordinate Axis

This chapter deals with the concept of surface area and volume of three-dimensional figures. It consists of various formulae which are used to calculate the surface area and volume of a cube, cuboid, cylinder, sphere, cone, etc.

Surface Areas and Volumes

The chapter introduces Heron’s formula found in the year 60 AD. We will learn how this formula is helpful for us in conducting geometrical calculations.

Heron's Formula

This chapter talks about the techniques of construction. We will learn that construction involves the drawing of various shapes using only a pair of compass and straight-edge or ruler.

Constructions

The chapter introduces a circle and its characteristics. Further, it explains the set of those points in a plane which are equidistant from a fixed point in the plane.

Circles

In this chapter, we will study the various formulas that are used to find out the area of parallelograms and triangles. It discusses some properties of triangles and parallelograms. It also covers some examples for the detailed explanation.

Areas of Parallelograms and Triangles

In this chapter, we will learn about quadrilaterals. A quadrilateral, sometimes also known as a tetragon or quadrangle (Johnson 1929), is a four-sided polygon. It states that all four polygon vertices are generally taken to lie in a plane.

Quadrilaterals

This chapter defines triangles and describes their properties. A triangle is a shape which is formed by three non-parallel lines. The three corners of a triangle are known as three internal angles.

Triangles

This chapter defines lines and angles. We will learn that a line is of infinite length that starts from infinity and ends at infinity. On the other hand, an angle is the combination of two non-collinear rays which meets at a common point.

Lines and Angles

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Coordinate Geometry

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