Some Standard Results: Complex Number
LIKE TO JOIN ON FACEBOOK ( click here ) Standard results in Complex number (Argand Plane) 1. Section Formula :- 2. Centroid:- centroid, 3. Equation of a Straight line :- a) Parametric Form:- From triangle OBP or, b) or => or is Purely Real ........................ (i) And, therefore condition of collinearity of because if are collinear then area form by these points must be 0. General Equation of a Straight Line: Where 'a' is a complex number and 'b' is a Purely Real Number. a - complex number, b - Purely Real Number Proof:- From (i) we have , multiply by 'i' on both sides, Suppose, and and ( since, ) And, = b (let) (We know that, = Purely Real ) therefore, = Purely Real ( 'b' ) then equation becomes , Where 'a' is a complex number and 'b' is a Purely Real Number. 4. Condition for the four points to be