A and B are the points representing the complex numbers z and (1 + i )z in an Argand diagram. Prove that triangle OAB is a right-angled isoceles triangle, where O is the origin.

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- Jul 15th 2011, 12:47 AMtinngcomplex number
A and B are the points representing the complex numbers z and (1 + i )z in an Argand diagram. Prove that triangle OAB is a right-angled isoceles triangle, where O is the origin.

- Jul 15th 2011, 08:44 AMFernandoRevillaRe: complex number
: . On the other hand and .__Hints__ - Jul 15th 2011, 10:21 AMkalyanramRe: complex number
Given:

By the definition of multiplication of complex numbers if we have

so we have .

in

is right isosceles triangle.

Kalyan