# Co-Ordinate Geometry Class-9 RS Aggarwal ICSE Maths Goyal Brothers

**Co-Ordinate Geometry Class-9 RS** Aggarwal ICSE Maths Goyal Brothers Prakashan Chapter-21 . We provide step by step Solutions of Exercise / lesson-21 **Co-Ordinate Geometry** for ICSE **Class-9 RS **Aggarwal Mathematics .

Our Solutions contain all type Questions with Exe-21 (A), Exe-21 (B), , Exe-21 (C), and Notes to develop skill and confidence. Visit official Website **CISCE** for detail information about ICSE Board Class-9 Mathematics.

Board | ICSE |

Publications | Goyal brothers Prakshan |

Subject | Maths |

Class | 9th |

Chapter-21 | Trigonometrical Ratios |

Writer | RS Aggrawal |

Book Name | Foundation |

Topics | Solution of Exe-21 (A), Exe-21 (B), , Exe-21 (C), and Notes to develop skill and confidence |

Academic Session | 2021-2022 |

**Co-Ordinate Geometry Class-9 RS** Aggarwal ICSE Maths Goyal Brothers Prakashan Chapter-21

**–: Select Topics :–**

**Notes on Co-Ordinate Geometry**

The horizontal line XX’ is called X-axis and vertical line YY’ is called Y-axis. The point where these lines intersect each other is called origin and is denoted by ‘O’. … These axes are called the coordinate axes

### Points on a Cartesian Plane

A pair of numbers locate points on a plane called the** coordinates**. The distance of a point from the y-axis is known as **abscissa **or x-coordinate. The distance of a point from the x-axis is called **ordinates **or y-coordinate

### The coordinates of a point

(i) The x-coordinate of a point is its perpendicular distance from the Y-axis measured along the X-axis (positive along the positive direction of the X-axis and negative along the negative direction of the X-axis). The x-coordinate is also called the abscissa.

(ii) The Y-coordinates of a point is its perpendicular distance from the X-axis measured along the Y-axis (positive along the positive direction of the Y-axis and negative along the negative direction of the Y-axis). The Y-coordinate is also called the ordinate.

Quadrant |
Coordinate |
Sign in the quadrant |

I | (+, +) | 1st quadrant is enclosed by the positive x-axis and the positive y-axis. |

II | (-, +) | 2nd quadrant is enclosed by the negative x-axis and the positive y-axis. |

III | (-, -) | 3rd quadrant is enclosed by the negative x-axis and the negative y-axis. |

IV | (+, -) | 4th quadrant is enclosed by the positive x-axis and the negative y-axis |

### The relationship between the Signs of the Coordinates of a Point and the Quadrant in which It Lies

(i) If a point is in the 1st quadrant, then the point will be in the form (+, +), since the 1st quadrant is enclosed by the positive X-axis and the positive Y-axis.

(ii) If a point is in the Ilnd quadrant, then the point will be in the form (-, +), since the Ilnd quadrant is enclosed by the negative X-axis and the positive Y-axis.

(iii) If a point is in the Illrd quadrant, then the point will be in the form (-, -), since the Illrd quadrant is enclosed by the negative X-axis and the negative Y-axis.

(iv) If a point is in the IVth quadrant, then the point will be in the form (+, -), since the IVth quadrant is enclosed by the positive X-axis and the negative Y-axis

**Exe-21 (A), Co-Ordinate Geometry Class-9 RS Aggarwal ICSE Maths Goyal Brothers Prakashan**

**Page 263**

#### Question 1:

Write down the co-ordinate of each of the following points, A, B, C, D, E shown below on the graph paper .

(Graph see in your textbook)

#### Question 2:

…………………….

……………………..

……………………..

#### Question 6:

The point A(3, 2), B(0, 5) and D(0, -1) are the three vertical of a square ABCD .

Plot these points on a graph paper and hence find the co-ordinate of the vertex C.

**Co-Ordinate Geometry Exe-21 (B), Class-9 RS Aggarwal ICSE Maths Goyal Brothers Prakashan **

**Page 268**

Draw the graph of :

#### Question 1:

x = 6

#### Question 2:

x + 4 = 0

#### Question 3:

…………………….

……………………..

……………………..

#### Question 18:

x + 2y = 3 and 4x + 3y = 2

#### Question 19:

2x + 3y = 2 and x – 2y = 8

**RS Aggarwal Co-Ordinate Geometry Exe-21 (C ) , Class-9 ICSE Maths Goyal Brothers Prakashan **

**Page 269-270**

#### Question 1:

Find the distance between the point :

(i) A (7, 13) and B (10, 9)

………………..

#### Question 2:

Find the distance of each of the following points from the origin :

(i) A (6, -6)

(ii)………….

……………….

#### Question 3:

………………

……………..

………………….

#### Question 9:

Show that the point A(2, -1), B(3, 4), C(-2, 3) and D(-3, -2) are the vertices of a rhombus.

–: End of **Co-Ordinate Geometry Class-9 RS Aggarwal** ICSE Class-9th Maths Solutions :–

Return to- RS Aggarwal Solutions for ICSE Class-9 Goyal Brothers Prakashan

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