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**What is co-ordinate geometry ?**

**Regular coordinate axes**

**Cartesian coordinate of a point**

**Quadrant**

**Some Important points**

**Theorem: The distance between two points `P(x_1;y_1)` and `Q(x_2;y_2)` is given by sqrt((x_2-x_1)^2+(y_2-y_1)^2)**

**If the point (x;y) is equidistant from the points `(a+b;b-a)` and `(a-b;a+b)` prove that `bx=ay`**

**Some Useful Points**

**The coordinates of the point which divides the line segment joining the points `(x_1;y_1)` and `(x_2;y_2)` internally in the ratio m:n are given by `(x=(mx_2+nx_1)/(m+n);y=(my_2+ny_1)/(m+n))`**

**(i) Find the coordinates of the point which divides the line segment joining the points (6;3) and (-4;5) in the ratio 3:2 internally**