**RS Aggarwal Class-8 Coordinates** System and Linear Graph ICSE Maths Goyal Brothers Prakashan Solutions Chapter-22. We provide step by step Solutions of Exercise / lesson-22 **Coordinates** System and Linear Graph** **for ICSE **Class-8 RS** Aggarwal Mathematics.

Our Solutions contain all type Questions of Exe-22 (A), Exe-22 (B), Exe-22 (C), MCQs Exe-22 (D), with Notes to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-8 Mathematics.

Board | ICSE |

Publications | Goyal brothers Prakshan |

Subject | Maths |

Class | 8th |

Chapter-22 | Coordinates System and Linear Graph |

Writer | RS Aggrawal |

Book Name | Foundation |

Topics | Solution of Exe-22.a, 22.b, 22.c and 22.d |

Academic Session | 2021-2022 |

**RS Aggarwal Class-8 Coordinates** System and Linear Graph ICSE Maths Goyal Brothers Prakashan Solutions Chapter-22

–: Select Topics :–

### Notes on Coordinates System

A **coordinate system** is a method for identifying the location of a point on the earth. Most **coordinate systems** use two numbers, a **coordinate**, to identify the location of a point. Each of these numbers indicates the distance between the point and some fixed reference point, called the origin

## Cartesian Cartesian System

A Cartesian coordinate system or Coordinate system,is used to locate the position of any point and that point can be plotted as an ordered pair (x, y) known as Coordinates. The horizontal number line is called X- axis and vertical number line is called Y-axis and the point of intersection of these two axes is known as origin and it is denoted as ‘ O ‘.

### Quadrants of Coordinate System

The Coordinate axes XX’ and YY’ divides the cartesian plane into 4 quadrants. In fig. shown below:

- The region XOY is called first quadrant
- The region X’OY is called second quadrant
- The region X’OY’ is called third quadrant
- The region Y’OX is called fourth quadrant

#### Sign Convention

The ray OX on X-axis is taken as positive, OX’ as negative X-axis, OY on Y-axis as positive and OY’ as negative.

Accordingly, the distance measured along OX will be taken as positive and along OX’ will be negative. Similarly, the distance along OY will be taken as positive and along OY’ will be negative.

I- quadrant (+,+)

II-quadrant (-, +)

III-quadrant(-,-)

IV-quadrant(+,-)

### Applications of Coordinates System

- The coordinate plane concept is used in route maps.
- It is also used to locate the position of aircrafts in sky

** Exe-22 (A),** RS Aggarwal Class-8 Coordinates System and Linear Graph ICSE Maths Goyal Brothers Prakashan Solutions

(Page 254-256)

#### Question 1:

Plot the following points on a graph paper :

(i) ………….

……………..

#### Question 2:

Write down the coordinate of each of the following …………. on the graph paper.

#### Question 3:

……………………

……………………

…………………….

#### Question 10:

Three of the vertices of a parallelogram have coordinate ……………….. of the fourth vertex.

### RS Aggarwal Class-8 **Exe-22 (B),** Coordinates System and Linear Graph ICSE Maths Goyal Brothers Prakashan Solutions

(Page 259)

#### Question 1:

Calculate the area of circles ………….. of a circle vs its radius.

#### Question 2:

Plot a graph …. multiply of 5.

#### Question 3:

…………………….

……………………..

#### Question 4:

Calculate the simple interest on a principle sum pf ……… a graph for the same.

### RS Aggarwal Class-8 Coordinates System and Linear Graph **Exe-22 (C)**, ICSE Maths Goyal Brothers Prakashan Solutions

(Page 260)

#### Question 1:

Draw the graph of perimeter (P) of a square vs the length of its side (a).

From the graph , Find the value of P, when :

(i) a = 2.5

(ii) a = 5

#### Question 2:

Draw the graph of the …………. value of y, when :

………

#### Question 3:

Draw the distance vs time for an graph for an object moving at a speed of 5 meters per second . Read ……………..

……………..

** Exe-22 (D),** MCQs RS Aggarwal Class-8 Coordinates System and Linear Graph ICSE Maths Goyal Brothers Prakashan Solutions

Multiple Choice Questions:

(Page 260-261)

#### Question 1:

Which of the following points lies in the first quadrant ?

…………..

#### Question 2:

Distance of a point from y-axis is called

……………….

#### Question 3:

……………………..

………………………

………………………

#### Question 10:

The equation of a line ………. below x-axis is ……………..

……………….

–: End of **RS Aggarwal Class-8 Coordinates System** and Linear Graph Solutions :–

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