## Geometry with complex numbers — section formula

*It ain’t complex, it’s simple !!*

**Section Formula**:

If divides the line segment joining and internally in the ratio , then

If the division is external, then

**Proof:**

Let , . Then, and .

Let . Then, . We know from co-ordinate geometry,

and

Hence, complex number of P is

more later,

Nalin Pithwa

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