# Coordinate Geometry

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## 03 Coordinate Geometry

#### COORDINATE GEOMETRY

Cartesian plane:

The horizontal line is called $\text{x}$ axis.

Vertical line is called $\text{y}$ axis.

The intersection of lines is called origin it is represented by $\text{O}$.

The Cartesian plane is divided into $\text{4}$ parts by coordinate axes called quadrants.

Any point $\text{P}$ in Cartesian plane is represented byordered pair

The distance of P from $\text{y}$ axis $–$It is called $\text{x}$ co-ordinate (Abcissa)

The distance of P from $\text{x}$ axis $–$It is called $\text{y}$ co-ordinate (ordinate)

If point is in ${\text{1}}^{\text{st}}$ quadrant it has both coordinates positive.

If point is in ${\text{2}}^{\text{nd}}$ quadrant it has x coordinate negative and y coordinate positive.

If point is in ${\text{3}}^{\text{rd}}$ quadrant it has both coordinates negative.

If point is in ${\text{4}}^{\text{th}}$ quadrant it has x coordinatepositive and y coordinate negative.

If point is on $\text{x}$ axis,its $\text{y}$ coordinate is zero. It is of the form

If point is on $\text{y}$ axis,its $\text{x}$ coordinate is zero. It is of the form $\left(0,y\right)$ Co ordinate of origin is