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

Exe-21 (A),

Exe-21 (B),

Exe-21 (C),

### 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.

(iii) In stating the coordinates of a point in the coordinate plane, the x-coordinate comes first and then the Y-coordinate. We place the coordinates in brackets

 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 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 :

x = 6

x + 4 = 0

…………………….

……………………..

……………………..

#### 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 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   :–

Thanks

Share with your friends

You might also like